Project acronym ANYONIC
Project Statistics of Exotic Fractional Hall States
Researcher (PI) Mordehai HEIBLUM
Host Institution (HI) WEIZMANN INSTITUTE OF SCIENCE
Call Details Advanced Grant (AdG), PE3, ERC-2018-ADG
Summary Since their discovery, Quantum Hall Effects have unfolded intriguing avenues of research, exhibiting a multitude of unexpected exotic states: accurate quantized conductance states; particle-like and hole-conjugate fractional states; counter-propagating charge and neutral edge modes; and fractionally charged quasiparticles - abelian and (predicted) non-abelian. Since the sought-after anyonic statistics of fractional states is yet to be verified, I propose to launch a thorough search for it employing new means. I believe that our studies will serve the expanding field of the emerging family of topological materials.
Our on-going attempts to observe quasiparticles (qp’s) interference, in order to uncover their exchange statistics (under ERC), taught us that spontaneous, non-topological, ‘neutral edge modes’ are the main culprit responsible for qp’s dephasing. In an effort to quench the neutral modes, we plan to develop a new class of micro-size interferometers, based on synthetically engineered fractional modes. Flowing away from the fixed physical edge, their local environment can be controlled, making it less hospitable for the neutral modes.
Having at hand our synthetized helical-type fractional modes, it is highly tempting to employ them to form localize para-fermions, which will extend the family of exotic states. This can be done by proximitizing them to a superconductor, or gapping them via inter-mode coupling.
The less familiar thermal conductance measurements, which we recently developed (under ERC), will be applied throughout our work to identify ‘topological orders’ of exotic states; namely, distinguishing between abelian and non-abelian fractional states.
The proposal is based on an intensive and continuous MBE effort, aimed at developing extremely high purity, GaAs based, structures. Among them, structures that support our new synthetic modes that are amenable to manipulation, and others that host rare exotic states, such as v=5/2, 12/5, 19/8, and 35/16.
Summary
Since their discovery, Quantum Hall Effects have unfolded intriguing avenues of research, exhibiting a multitude of unexpected exotic states: accurate quantized conductance states; particle-like and hole-conjugate fractional states; counter-propagating charge and neutral edge modes; and fractionally charged quasiparticles - abelian and (predicted) non-abelian. Since the sought-after anyonic statistics of fractional states is yet to be verified, I propose to launch a thorough search for it employing new means. I believe that our studies will serve the expanding field of the emerging family of topological materials.
Our on-going attempts to observe quasiparticles (qp’s) interference, in order to uncover their exchange statistics (under ERC), taught us that spontaneous, non-topological, ‘neutral edge modes’ are the main culprit responsible for qp’s dephasing. In an effort to quench the neutral modes, we plan to develop a new class of micro-size interferometers, based on synthetically engineered fractional modes. Flowing away from the fixed physical edge, their local environment can be controlled, making it less hospitable for the neutral modes.
Having at hand our synthetized helical-type fractional modes, it is highly tempting to employ them to form localize para-fermions, which will extend the family of exotic states. This can be done by proximitizing them to a superconductor, or gapping them via inter-mode coupling.
The less familiar thermal conductance measurements, which we recently developed (under ERC), will be applied throughout our work to identify ‘topological orders’ of exotic states; namely, distinguishing between abelian and non-abelian fractional states.
The proposal is based on an intensive and continuous MBE effort, aimed at developing extremely high purity, GaAs based, structures. Among them, structures that support our new synthetic modes that are amenable to manipulation, and others that host rare exotic states, such as v=5/2, 12/5, 19/8, and 35/16.
Max ERC Funding
1 801 094 €
Duration
Start date: 2019-05-01, End date: 2024-04-30
Project acronym BIOMOLECULAR_COMP
Project Biomolecular computers
Researcher (PI) Ehud Shapiro
Host Institution (HI) WEIZMANN INSTITUTE OF SCIENCE
Call Details Advanced Grant (AdG), LS9, ERC-2008-AdG
Summary Autonomous programmable computing devices made of biological molecules hold the promise of interacting with the biological environment in future biological and medical applications. Our laboratory's long-term objective is to develop a 'Doctor in a cell': molecular-sized device that can roam the body, equipped with medical knowledge. It would diagnose a disease by analyzing the data available in its biochemical environment based on the encoded medical knowledge and treat it by releasing the appropriate drug molecule in situ. This kind of device might, in the future, be delivered to all cells in a specific tissue, organ or the whole organism, and cure or kill only those cells diagnosed with a disease. Our laboratory embarked on the attempt to design and build these molecular computing devices and lay the foundation for their future biomedical applications. Several important milestones have already been accomplished towards the realization of the Doctor in a cell vision. The subject of this proposal is a construction of autonomous biomolecular computers that could be delivered into a living cell, interact with endogenous biomolecules that are known to indicate diseases, logically analyze them, make a diagnostic decision and couple it to the production of an active biomolecule capable of influencing cell fate.
Summary
Autonomous programmable computing devices made of biological molecules hold the promise of interacting with the biological environment in future biological and medical applications. Our laboratory's long-term objective is to develop a 'Doctor in a cell': molecular-sized device that can roam the body, equipped with medical knowledge. It would diagnose a disease by analyzing the data available in its biochemical environment based on the encoded medical knowledge and treat it by releasing the appropriate drug molecule in situ. This kind of device might, in the future, be delivered to all cells in a specific tissue, organ or the whole organism, and cure or kill only those cells diagnosed with a disease. Our laboratory embarked on the attempt to design and build these molecular computing devices and lay the foundation for their future biomedical applications. Several important milestones have already been accomplished towards the realization of the Doctor in a cell vision. The subject of this proposal is a construction of autonomous biomolecular computers that could be delivered into a living cell, interact with endogenous biomolecules that are known to indicate diseases, logically analyze them, make a diagnostic decision and couple it to the production of an active biomolecule capable of influencing cell fate.
Max ERC Funding
2 125 980 €
Duration
Start date: 2009-01-01, End date: 2013-10-31
Project acronym BISON
Project Bio-Inspired Self-Assembled Supramolecular Organic Nanostructures
Researcher (PI) Ehud Gazit
Host Institution (HI) TEL AVIV UNIVERSITY
Call Details Advanced Grant (AdG), LS9, ERC-2015-AdG
Summary Peptide building blocks serve as very attractive bio-inspired elements in nanotechnology owing to their controlled self-assembly, inherent biocompatibility, chemical versatility, biological recognition abilities and facile synthesis. We have demonstrated the ability of remarkably simple aromatic peptides to form well-ordered nanostructures of exceptional physical properties. By taking inspiration from the minimal recognition modules used by nature to mediate coordinated processes of self-assembly, we have developed building blocks that form well-ordered nanostructures. The compact design of the building blocks, and therefore, the unique structural organization, resulted in metallic-like Young's modulus, blue luminescence due to quantum confinement, and notable piezoelectric properties. The goal of this proposal is to develop two new fronts for bio-inspired building block repertoire along with co-assembly to provide new avenues for organic nanotechnology. This will combine our vast experience in the assembly of aromatic peptides together with additional structural modules from nature. The new entities will be developed by exploiting the design principles of small aromatic building blocks to arrive at the smallest possible module that form super helical assembly based on the coiled coil motifs and establishing peptide nucleic acids based systems to combine the worlds of peptide and DNA nanotechnologies. The proposed research will combine extensive design and synthesis effort to provide a very diverse collection of novel buildings blocks and determination of their self-assembly process, followed by broad chemical, physical, and biological characterization of the nanostructures. Furthermore, effort will be made to establish supramolecular co-polymer systems to extend the morphological control of the assembly process. The result of the project will be a large and defined collection of novel chemical entities that will help reshape the field of bioorganic nanotechnology.
Summary
Peptide building blocks serve as very attractive bio-inspired elements in nanotechnology owing to their controlled self-assembly, inherent biocompatibility, chemical versatility, biological recognition abilities and facile synthesis. We have demonstrated the ability of remarkably simple aromatic peptides to form well-ordered nanostructures of exceptional physical properties. By taking inspiration from the minimal recognition modules used by nature to mediate coordinated processes of self-assembly, we have developed building blocks that form well-ordered nanostructures. The compact design of the building blocks, and therefore, the unique structural organization, resulted in metallic-like Young's modulus, blue luminescence due to quantum confinement, and notable piezoelectric properties. The goal of this proposal is to develop two new fronts for bio-inspired building block repertoire along with co-assembly to provide new avenues for organic nanotechnology. This will combine our vast experience in the assembly of aromatic peptides together with additional structural modules from nature. The new entities will be developed by exploiting the design principles of small aromatic building blocks to arrive at the smallest possible module that form super helical assembly based on the coiled coil motifs and establishing peptide nucleic acids based systems to combine the worlds of peptide and DNA nanotechnologies. The proposed research will combine extensive design and synthesis effort to provide a very diverse collection of novel buildings blocks and determination of their self-assembly process, followed by broad chemical, physical, and biological characterization of the nanostructures. Furthermore, effort will be made to establish supramolecular co-polymer systems to extend the morphological control of the assembly process. The result of the project will be a large and defined collection of novel chemical entities that will help reshape the field of bioorganic nanotechnology.
Max ERC Funding
3 003 125 €
Duration
Start date: 2016-06-01, End date: 2021-05-31
Project acronym FACT
Project Factorizing the wave function of large quantum systems
Researcher (PI) Eberhard Gross
Host Institution (HI) THE HEBREW UNIVERSITY OF JERUSALEM
Call Details Advanced Grant (AdG), PE3, ERC-2017-ADG
Summary This proposal puts forth a novel strategy to tackle large quantum systems. A variety of highly sophisticated methods such as quantum Monte Carlo, configuration interaction, coupled cluster, tensor networks, Feynman diagrams, dynamical mean-field theory, density functional theory, and semi-classical techniques have been developed to deal with the enormous complexity of the many-particle Schrödinger equation. The goal of our proposal is not to add another method to these standard techniques but, instead, we develop a systematic way of combining them. The essential ingredient is a novel way of decomposing the wave function without approximation into factors that describe subsystems of the full quantum system. This so-called exact factorization is asymmetric. In the case of two subsystems, one factor is a wave function satisfying a regular Schrödinger equation, while the other factor is a conditional probability amplitude satisfying a more complicated Schrödinger-like equation with a non-local, non-linear and non-Hermitian “Hamiltonian”. Since each subsystem is necessarily smaller than the full system, the above standard techniques can be applied more efficiently and, most importantly, different standard techniques can be applied to different subsystems. The power of the exact factorization lies in its versatility. Here we apply the technique to five different scenarios: The first two deal with non-adiabatic effects in (i) molecules and (ii) solids. Here the natural subsystems are electrons and nuclei. The third scenario deals with nuclear motion in (iii) molecules attached to semi-infinite metallic leads, requiring three subsystems: the electrons, the nuclei in the leads which ultimately reduce to a phonon bath, and the molecular nuclei which may perform large-amplitude movements, such as current-induced isomerization, (iv) purely electronic correlations, and (v) the interaction of matter with the quantized electromagnetic field, i.e., electrons, nuclei and photons.
Summary
This proposal puts forth a novel strategy to tackle large quantum systems. A variety of highly sophisticated methods such as quantum Monte Carlo, configuration interaction, coupled cluster, tensor networks, Feynman diagrams, dynamical mean-field theory, density functional theory, and semi-classical techniques have been developed to deal with the enormous complexity of the many-particle Schrödinger equation. The goal of our proposal is not to add another method to these standard techniques but, instead, we develop a systematic way of combining them. The essential ingredient is a novel way of decomposing the wave function without approximation into factors that describe subsystems of the full quantum system. This so-called exact factorization is asymmetric. In the case of two subsystems, one factor is a wave function satisfying a regular Schrödinger equation, while the other factor is a conditional probability amplitude satisfying a more complicated Schrödinger-like equation with a non-local, non-linear and non-Hermitian “Hamiltonian”. Since each subsystem is necessarily smaller than the full system, the above standard techniques can be applied more efficiently and, most importantly, different standard techniques can be applied to different subsystems. The power of the exact factorization lies in its versatility. Here we apply the technique to five different scenarios: The first two deal with non-adiabatic effects in (i) molecules and (ii) solids. Here the natural subsystems are electrons and nuclei. The third scenario deals with nuclear motion in (iii) molecules attached to semi-infinite metallic leads, requiring three subsystems: the electrons, the nuclei in the leads which ultimately reduce to a phonon bath, and the molecular nuclei which may perform large-amplitude movements, such as current-induced isomerization, (iv) purely electronic correlations, and (v) the interaction of matter with the quantized electromagnetic field, i.e., electrons, nuclei and photons.
Max ERC Funding
2 443 932 €
Duration
Start date: 2019-09-01, End date: 2024-08-31
Project acronym FQHE
Project Statistics of Fractionally Charged Quasi-Particles
Researcher (PI) Mordehai (Moty) Heiblum
Host Institution (HI) WEIZMANN INSTITUTE OF SCIENCE
Call Details Advanced Grant (AdG), PE3, ERC-2008-AdG
Summary The discovery of the fractional quantum Hall effect created a revolution in solid state research by introducing a new state of matter resulting from strong electron interactions. The new state is characterized by excitations (quasi-particles) that carry fractional charge, which are expected to obey fractional statistics. While odd denominator fractional states are expected to have an abelian statistics, the newly discovered 5/2 even denominator fractional state is expected to have a non-abelian statistics. Moreover, a large number of emerging proposals predict that the latter state can be employed for topological quantum computing ( Station Q was founded by Microsoft Corp. in order to pursue this goal). This proposal aims at studying the abelian and non-abelian fractional charges, and in particular to observe their peculiar statistics. While charges are preferably determined by measuring quantum shot noise, their statistics must be determined via interference experiments, where one particle goes around another. The experiments are very demanding since the even denominator fractions turn to be very fragile and thus can be observed only in the purest possible two dimensional electron gas and at the lowest temperatures. While until very recently such high quality samples were available only by a single grower (in the USA), we have the capability now to grow extremely pure samples with profound even denominator states. As will be detailed in the proposal, we have all the necessary tools to study charge and statistics of these fascinating excitations, due to our experience in crystal growth, shot noise and interferometry measurements.
Summary
The discovery of the fractional quantum Hall effect created a revolution in solid state research by introducing a new state of matter resulting from strong electron interactions. The new state is characterized by excitations (quasi-particles) that carry fractional charge, which are expected to obey fractional statistics. While odd denominator fractional states are expected to have an abelian statistics, the newly discovered 5/2 even denominator fractional state is expected to have a non-abelian statistics. Moreover, a large number of emerging proposals predict that the latter state can be employed for topological quantum computing ( Station Q was founded by Microsoft Corp. in order to pursue this goal). This proposal aims at studying the abelian and non-abelian fractional charges, and in particular to observe their peculiar statistics. While charges are preferably determined by measuring quantum shot noise, their statistics must be determined via interference experiments, where one particle goes around another. The experiments are very demanding since the even denominator fractions turn to be very fragile and thus can be observed only in the purest possible two dimensional electron gas and at the lowest temperatures. While until very recently such high quality samples were available only by a single grower (in the USA), we have the capability now to grow extremely pure samples with profound even denominator states. As will be detailed in the proposal, we have all the necessary tools to study charge and statistics of these fascinating excitations, due to our experience in crystal growth, shot noise and interferometry measurements.
Max ERC Funding
2 000 000 €
Duration
Start date: 2009-01-01, End date: 2013-12-31
Project acronym FRACTFRICT
Project Fracture and Friction: Rapid Dynamics of Material Failure
Researcher (PI) Jay Fineberg
Host Institution (HI) THE HEBREW UNIVERSITY OF JERUSALEM
Call Details Advanced Grant (AdG), PE3, ERC-2010-AdG_20100224
Summary FractFrict is a comprehensive study of the space-time dynamics that lead to the failure of both bulk materials and frictionally bound interfaces. In these systems, failure is precipitated by rapidly moving singular fields at the tips of propagating cracks or crack-like fronts that cause material damage at microscopic scales. These generate damage that is macroscopically reflected as characteristic large-scale, modes of material failure. Thus, the structure of the fields that microscopically drive failure is critically important for an overall understanding of how macroscopic failure occurs.
The innovative real-time measurements proposed here will provide fundamental understanding of the form of the singular fields, their modes of regularization and their relation to the resultant macroscopic modes of failure. Encompassing different classes of bulk materials and material interfaces.
We aim to:
[1] To establish a fundamental understanding of the dynamics of the near-tip singular fields, their regularization modes and how they couple to the macroscopic dynamics in both frictional motion and fracture.
[2] To determine the types of singular failure processes in different classes of materials and interfaces (e.g. the brittle to ductile transition in amorphous materials, the role of fast fracture processes in frictional motion).
[3] To establish local (microscopic) laws of friction/failure and how they evolve into their macroscopic counterparts
[4]. To identify the existence and origins of crack instabilities in bulk and interface failure
The insights obtained in this research will enable us to manipulate and/or predict material failure modes. The results of this study will shed considerable new light on fundamental open questions in fields as diverse as material design, tribology and geophysics.
Summary
FractFrict is a comprehensive study of the space-time dynamics that lead to the failure of both bulk materials and frictionally bound interfaces. In these systems, failure is precipitated by rapidly moving singular fields at the tips of propagating cracks or crack-like fronts that cause material damage at microscopic scales. These generate damage that is macroscopically reflected as characteristic large-scale, modes of material failure. Thus, the structure of the fields that microscopically drive failure is critically important for an overall understanding of how macroscopic failure occurs.
The innovative real-time measurements proposed here will provide fundamental understanding of the form of the singular fields, their modes of regularization and their relation to the resultant macroscopic modes of failure. Encompassing different classes of bulk materials and material interfaces.
We aim to:
[1] To establish a fundamental understanding of the dynamics of the near-tip singular fields, their regularization modes and how they couple to the macroscopic dynamics in both frictional motion and fracture.
[2] To determine the types of singular failure processes in different classes of materials and interfaces (e.g. the brittle to ductile transition in amorphous materials, the role of fast fracture processes in frictional motion).
[3] To establish local (microscopic) laws of friction/failure and how they evolve into their macroscopic counterparts
[4]. To identify the existence and origins of crack instabilities in bulk and interface failure
The insights obtained in this research will enable us to manipulate and/or predict material failure modes. The results of this study will shed considerable new light on fundamental open questions in fields as diverse as material design, tribology and geophysics.
Max ERC Funding
2 265 399 €
Duration
Start date: 2010-12-01, End date: 2016-11-30
Project acronym FUNDMS
Project Functionalisation of Diluted Magnetic Semiconductors
Researcher (PI) Tomasz Dietl
Host Institution (HI) INSTYTUT FIZYKI POLSKIEJ AKADEMII NAUK
Call Details Advanced Grant (AdG), PE3, ERC-2008-AdG
Summary Low-temperature studies of transition metal doped III-V and II-VI compounds carried out over the last decade have demonstrated the unprecedented opportunity offered by these systems for exploring physical phenomena and device concepts in previously unavailable combinations of quantum structures and ferromagnetism in semiconductors. The work proposed here aims at combining and at advancing epitaxial methods, spatially-resolved nano-characterisation tools, and theoretical modelling in order to understand the intricate interplay between carrier localisation, magnetism, and magnetic ion distribution in DMS, and to develop functional DMS structures. To accomplish these goals we will take advantage of two recent breakthroughs in materials engineering. First, the attainment of high-k oxides makes now possible to generate interfacial hole densities up to 10^21 cm-3. We will exploit gated thin layers of DMS phosphides, nitrides, and oxides, in which hole delocalization and thus high temperature ferromagnetism is to be expected under gate bias. Furthermore we will systematically investigate how the Curie temperature of (Ga,Mn)As can be risen above 180 K. Second, the progress in nanoscale chemical analysis has allowed demonstrating that high temperature ferromagnetism of semiconductors results from nanoscale crystallographic or chemical phase separations into regions containing a large concentration of the magnetic constituent. We will elaborate experimentally and theoretically epitaxy and co-doping protocols for controlling the self-organised growth of magnetic nanostructures, utilizing broadly synchrotron radiation and nanoscopic characterisation tools. The established methods will allow us to obtain on demand either magnetic nano-dots or magnetic nano-columns embedded in a semiconductor host, for which we predict, and will demonstrate, ground-breaking functionalities. We will also assess reports on the possibility of high-temperature ferromagnetism without magnetic ions.
Summary
Low-temperature studies of transition metal doped III-V and II-VI compounds carried out over the last decade have demonstrated the unprecedented opportunity offered by these systems for exploring physical phenomena and device concepts in previously unavailable combinations of quantum structures and ferromagnetism in semiconductors. The work proposed here aims at combining and at advancing epitaxial methods, spatially-resolved nano-characterisation tools, and theoretical modelling in order to understand the intricate interplay between carrier localisation, magnetism, and magnetic ion distribution in DMS, and to develop functional DMS structures. To accomplish these goals we will take advantage of two recent breakthroughs in materials engineering. First, the attainment of high-k oxides makes now possible to generate interfacial hole densities up to 10^21 cm-3. We will exploit gated thin layers of DMS phosphides, nitrides, and oxides, in which hole delocalization and thus high temperature ferromagnetism is to be expected under gate bias. Furthermore we will systematically investigate how the Curie temperature of (Ga,Mn)As can be risen above 180 K. Second, the progress in nanoscale chemical analysis has allowed demonstrating that high temperature ferromagnetism of semiconductors results from nanoscale crystallographic or chemical phase separations into regions containing a large concentration of the magnetic constituent. We will elaborate experimentally and theoretically epitaxy and co-doping protocols for controlling the self-organised growth of magnetic nanostructures, utilizing broadly synchrotron radiation and nanoscopic characterisation tools. The established methods will allow us to obtain on demand either magnetic nano-dots or magnetic nano-columns embedded in a semiconductor host, for which we predict, and will demonstrate, ground-breaking functionalities. We will also assess reports on the possibility of high-temperature ferromagnetism without magnetic ions.
Max ERC Funding
2 440 000 €
Duration
Start date: 2009-01-01, End date: 2013-12-31
Project acronym HOPSEP
Project Harnessing Oxygenic Photosynthesis for Sustainable Energy Production
Researcher (PI) Nathan Nelson
Host Institution (HI) TEL AVIV UNIVERSITY
Call Details Advanced Grant (AdG), LS9, ERC-2011-ADG_20110310
Summary Oxygenic photosynthesis, that takes place in cyanobacteria algae and plants, provides most of the food and fuel on earth. The light stage of this process is driven by two photosystems. Photosystem II (PSII) that oxidizes water to O2 and 4 H+ and photosystem I (PSI) which in the light provides the most negative redox potential in nature that can drive numerous reactions including CO2 assimilation and hydrogen (H2) production. The structure of most of the complexes involved in oxygenic photosynthesis was solved in several laboratories including our own. Utilizing our plant PSI crystals we were able to generate a light dependent electric potential of up to 100 V. We will develop this system for designing biological based photoelectric devices. Recently, we discovered a marine phage that carries an operon encoding all PSI subunits. Generation, in synechocystis, of a phage-like PSI enabled the mutated complex to accept electrons from additional sources like respiratory cytochromes. This way a novel photorespiration, where PSI can substitute for cytochrome oxidase, is created. The wild type and mutant synechocystis PSI were crystallized and solved, confirming the suggested structural consequences. Moreover, several structural alterations in the mesophilic PSI were recorded. We designed a hydrogen producing bioreactor where the novel photorespiration will enable to utilize the organic material of the cell as an electron source for H2 production. We propose that in conjunction of engineering a Cyanobacterium strain with a temperature sensitive PSII, enhancing rates in its respiratory chain an efficient and sustainable hydrogen production can be achieved.
Summary
Oxygenic photosynthesis, that takes place in cyanobacteria algae and plants, provides most of the food and fuel on earth. The light stage of this process is driven by two photosystems. Photosystem II (PSII) that oxidizes water to O2 and 4 H+ and photosystem I (PSI) which in the light provides the most negative redox potential in nature that can drive numerous reactions including CO2 assimilation and hydrogen (H2) production. The structure of most of the complexes involved in oxygenic photosynthesis was solved in several laboratories including our own. Utilizing our plant PSI crystals we were able to generate a light dependent electric potential of up to 100 V. We will develop this system for designing biological based photoelectric devices. Recently, we discovered a marine phage that carries an operon encoding all PSI subunits. Generation, in synechocystis, of a phage-like PSI enabled the mutated complex to accept electrons from additional sources like respiratory cytochromes. This way a novel photorespiration, where PSI can substitute for cytochrome oxidase, is created. The wild type and mutant synechocystis PSI were crystallized and solved, confirming the suggested structural consequences. Moreover, several structural alterations in the mesophilic PSI were recorded. We designed a hydrogen producing bioreactor where the novel photorespiration will enable to utilize the organic material of the cell as an electron source for H2 production. We propose that in conjunction of engineering a Cyanobacterium strain with a temperature sensitive PSII, enhancing rates in its respiratory chain an efficient and sustainable hydrogen production can be achieved.
Max ERC Funding
2 487 000 €
Duration
Start date: 2012-01-01, End date: 2017-12-31
Project acronym LEGOTOP
Project From Local Elements to Globally Ordered TOPological states of matter
Researcher (PI) Yuval OREG
Host Institution (HI) WEIZMANN INSTITUTE OF SCIENCE
Call Details Advanced Grant (AdG), PE3, ERC-2017-ADG
Summary We present a novel constructive approach for realizations of topological states of matter. Our approach starts with well-understood building blocks, and proceeds towards coupling them to create the desired states. This approach promises both a guide for a tunable experimental realization of states which have not been observed so far, and a theoretical tool for deeper understanding of different topological states, their dualities and inter-relations.
We will apply the constructive approach in two different directions. In the first direction our goal will be the construction of topological superconductors. Our tool will be Josephson junctions in which superconductors are coupled by two- and three-dimensional electronic non-superconducting systems. Two dimensional examples include transition metal dichalcogenides, Quantum Hall states, Quantum Anomalous Hall states, and the (111) bi-layer state, which may be viewed as a fractionalized electron-hole condensate. Three dimensional examples include Weyl semi-metals and weak topological insulators.
In the second direction our goal is the construction of fractionalized spin liquid states. Our building block will be a Majorana-Cooper box, which is a superconducting quantum dot coupled to semi-conducting wires that host Majorana zero modes. We will consider arrays of such boxes. The ratio of the box's charging energy to inter-box tunnel-coupling determines whether the array is superconducting or insulating. We will aim to use insulating arrays for realizing fractionalized and non-abelian spin liquids, study the transition to the superconducting state, and search for possible relations between the topological properties on both sides of the transition.
A deeper comprehension and a feasible path for realization of these states would have a profound effect on the field of topological matter and will open novel avenues for universal topological quantum computers.
Summary
We present a novel constructive approach for realizations of topological states of matter. Our approach starts with well-understood building blocks, and proceeds towards coupling them to create the desired states. This approach promises both a guide for a tunable experimental realization of states which have not been observed so far, and a theoretical tool for deeper understanding of different topological states, their dualities and inter-relations.
We will apply the constructive approach in two different directions. In the first direction our goal will be the construction of topological superconductors. Our tool will be Josephson junctions in which superconductors are coupled by two- and three-dimensional electronic non-superconducting systems. Two dimensional examples include transition metal dichalcogenides, Quantum Hall states, Quantum Anomalous Hall states, and the (111) bi-layer state, which may be viewed as a fractionalized electron-hole condensate. Three dimensional examples include Weyl semi-metals and weak topological insulators.
In the second direction our goal is the construction of fractionalized spin liquid states. Our building block will be a Majorana-Cooper box, which is a superconducting quantum dot coupled to semi-conducting wires that host Majorana zero modes. We will consider arrays of such boxes. The ratio of the box's charging energy to inter-box tunnel-coupling determines whether the array is superconducting or insulating. We will aim to use insulating arrays for realizing fractionalized and non-abelian spin liquids, study the transition to the superconducting state, and search for possible relations between the topological properties on both sides of the transition.
A deeper comprehension and a feasible path for realization of these states would have a profound effect on the field of topological matter and will open novel avenues for universal topological quantum computers.
Max ERC Funding
1 532 163 €
Duration
Start date: 2018-10-01, End date: 2023-09-30
Project acronym MUNATOP
Project Multi-Dimensional Study of non Abelian Topological States of Matter
Researcher (PI) Adiel (Ady) Stern
Host Institution (HI) WEIZMANN INSTITUTE OF SCIENCE
Call Details Advanced Grant (AdG), PE3, ERC-2013-ADG
Summary Non-abelian topological states of matter are of great interest in condensed matter physics,
both due to their extraordinary fundamental properties and to their possible use for quantum
computation. The insensitivity of their topological characteristics to disorder, noise,
and interaction with the environment may lead to realization of quantum computers with
very long coherence times. The realization of a quantum computer ranks among the foremost
outstanding problems in physics, particularly in light of the revolutionary rewards
the achievement of this goal promises.
The proposed theoretical study is multi-dimensional. On the methodological side the
multi-dimensionality is in the breadth of the studies we discuss, ranging all the way from
phenomenology to mathematical physics. We will aim at detailed understanding of present
and future experimental results. We will analyze experimental setups designed to identify,
characterize and manipulate non-abelian states. And we will propose and classify novel
non-abelian states. On the concrete side, the multi-dimensionality is literal. The systems
we consider include quantum dots, one dimensional quantum wires, two dimensional planar
systems, and surfaces of three dimensional systems.
Our proposal starts with Majorana fermions in systems where spin-orbit coupling, Zeeman
fields and proximity coupling to superconductivity are at play. It continues with “edge
anyons”, non-abelian quasiparticles residing on edges of abelian Quantum Hall states. It
ends with open issues in the physics of the Quantum Hall Effect.
We expect that this study will result in clear schemes for unquestionable experimental
identification of Majorana fermions, new predictions for more of their measurable consequences,
understanding of the feasibility of fractionalized phases in quantum wires, feasible
experimental schemes for realizing and observing edge anyons, steps towards their classification,
and better understanding of quantum Hall interferometry.
Summary
Non-abelian topological states of matter are of great interest in condensed matter physics,
both due to their extraordinary fundamental properties and to their possible use for quantum
computation. The insensitivity of their topological characteristics to disorder, noise,
and interaction with the environment may lead to realization of quantum computers with
very long coherence times. The realization of a quantum computer ranks among the foremost
outstanding problems in physics, particularly in light of the revolutionary rewards
the achievement of this goal promises.
The proposed theoretical study is multi-dimensional. On the methodological side the
multi-dimensionality is in the breadth of the studies we discuss, ranging all the way from
phenomenology to mathematical physics. We will aim at detailed understanding of present
and future experimental results. We will analyze experimental setups designed to identify,
characterize and manipulate non-abelian states. And we will propose and classify novel
non-abelian states. On the concrete side, the multi-dimensionality is literal. The systems
we consider include quantum dots, one dimensional quantum wires, two dimensional planar
systems, and surfaces of three dimensional systems.
Our proposal starts with Majorana fermions in systems where spin-orbit coupling, Zeeman
fields and proximity coupling to superconductivity are at play. It continues with “edge
anyons”, non-abelian quasiparticles residing on edges of abelian Quantum Hall states. It
ends with open issues in the physics of the Quantum Hall Effect.
We expect that this study will result in clear schemes for unquestionable experimental
identification of Majorana fermions, new predictions for more of their measurable consequences,
understanding of the feasibility of fractionalized phases in quantum wires, feasible
experimental schemes for realizing and observing edge anyons, steps towards their classification,
and better understanding of quantum Hall interferometry.
Max ERC Funding
1 529 107 €
Duration
Start date: 2013-10-01, End date: 2018-09-30