The Experts below are selected from a list of 34446 Experts worldwide ranked by ideXlab platform
Ady Stern - One of the best experts on this subject based on the ideXlab platform.
-
observation of half integer thermal hall conductance
Nature, 2018Co-Authors: Mitali Banerjee, M Heiblum, V Umansky, D E Feldman, Yuval Oreg, Ady SternAbstract:Topological states of matter are characterized by topological invariants, which are physical quantities whose Values are quantized and do not depend on the details of the system (such as its shape, size and impurities). Of these quantities, the easiest to probe is the electrical Hall conductance, and Fractional Values (in units of e2/h, where e is the electronic charge and h is the Planck constant) of this quantity attest to topologically ordered states, which carry quasiparticles with Fractional charge and anyonic statistics. Another topological invariant is the thermal Hall conductance, which is harder to measure. For the quantized thermal Hall conductance, a Fractional Value in units of κ0 (κ0 = π2kB2/(3h), where kB is the Boltzmann constant) proves that the state of matter is non-Abelian. Such non-Abelian states lead to ground-state degeneracy and perform topological unitary transformations when braided, which can be useful for topological quantum computation. Here we report measurements of the thermal Hall conductance of several quantum Hall states in the first excited Landau level and find that the thermal Hall conductance of the 5/2 state is compatible with a half-integer Value of 2.5κ0, demonstrating its non-Abelian nature.
-
observation of half integer thermal hall conductance
arXiv: Mesoscale and Nanoscale Physics, 2017Co-Authors: Mitali Banerjee, M Heiblum, V Umansky, D E Feldman, Yuval Oreg, Ady SternAbstract:Topological states of matter are characterized by topological invariant, which are physical quantities whose Values are quantized and do not depend on details of the measured system. Of these, the easiest to probe in experiments is the electrical Hall conductance, which is expressed in units of $e^2/h$ ($e$ the electron charge, $h$ the Planck's constant). In the Fractional quantum Hall effect (FQHE), Fractional quantized Values of the electrical Hall conductance attest to topologically ordered states, which are states that carry quasi particles with Fractional charge and anyonic statistics. Another topological invariant, which is much harder to measure, is the thermal Hall conductance, expressed in units of $\kappa_0T=(\pi^2kB^2/3h)T$ ($kB$ the Boltzmann constant, $T$ the temperature). For the quantized thermal Hall conductance, a Fractional Value attests that the probed state of matter is non-abelian. Quasi particles in non-abelian states lead to a ground state degeneracy and perform topological unitary transformations among ground states when braided. As such, they may be useful for topological quantum computation. In this paper, we report our measurements of the thermal Hall conductance for several quantum Hall states in the first excited Landau level. Remarkably, we find the thermal Hall conductance of the $\nu=5/2$ state to be Fractional, and to equal $2.5\kappa_0T$
Mitali Banerjee - One of the best experts on this subject based on the ideXlab platform.
-
observation of half integer thermal hall conductance
Nature, 2018Co-Authors: Mitali Banerjee, M Heiblum, V Umansky, D E Feldman, Yuval Oreg, Ady SternAbstract:Topological states of matter are characterized by topological invariants, which are physical quantities whose Values are quantized and do not depend on the details of the system (such as its shape, size and impurities). Of these quantities, the easiest to probe is the electrical Hall conductance, and Fractional Values (in units of e2/h, where e is the electronic charge and h is the Planck constant) of this quantity attest to topologically ordered states, which carry quasiparticles with Fractional charge and anyonic statistics. Another topological invariant is the thermal Hall conductance, which is harder to measure. For the quantized thermal Hall conductance, a Fractional Value in units of κ0 (κ0 = π2kB2/(3h), where kB is the Boltzmann constant) proves that the state of matter is non-Abelian. Such non-Abelian states lead to ground-state degeneracy and perform topological unitary transformations when braided, which can be useful for topological quantum computation. Here we report measurements of the thermal Hall conductance of several quantum Hall states in the first excited Landau level and find that the thermal Hall conductance of the 5/2 state is compatible with a half-integer Value of 2.5κ0, demonstrating its non-Abelian nature.
-
observation of half integer thermal hall conductance
arXiv: Mesoscale and Nanoscale Physics, 2017Co-Authors: Mitali Banerjee, M Heiblum, V Umansky, D E Feldman, Yuval Oreg, Ady SternAbstract:Topological states of matter are characterized by topological invariant, which are physical quantities whose Values are quantized and do not depend on details of the measured system. Of these, the easiest to probe in experiments is the electrical Hall conductance, which is expressed in units of $e^2/h$ ($e$ the electron charge, $h$ the Planck's constant). In the Fractional quantum Hall effect (FQHE), Fractional quantized Values of the electrical Hall conductance attest to topologically ordered states, which are states that carry quasi particles with Fractional charge and anyonic statistics. Another topological invariant, which is much harder to measure, is the thermal Hall conductance, expressed in units of $\kappa_0T=(\pi^2kB^2/3h)T$ ($kB$ the Boltzmann constant, $T$ the temperature). For the quantized thermal Hall conductance, a Fractional Value attests that the probed state of matter is non-abelian. Quasi particles in non-abelian states lead to a ground state degeneracy and perform topological unitary transformations among ground states when braided. As such, they may be useful for topological quantum computation. In this paper, we report our measurements of the thermal Hall conductance for several quantum Hall states in the first excited Landau level. Remarkably, we find the thermal Hall conductance of the $\nu=5/2$ state to be Fractional, and to equal $2.5\kappa_0T$
M Heiblum - One of the best experts on this subject based on the ideXlab platform.
-
observation of half integer thermal hall conductance
Nature, 2018Co-Authors: Mitali Banerjee, M Heiblum, V Umansky, D E Feldman, Yuval Oreg, Ady SternAbstract:Topological states of matter are characterized by topological invariants, which are physical quantities whose Values are quantized and do not depend on the details of the system (such as its shape, size and impurities). Of these quantities, the easiest to probe is the electrical Hall conductance, and Fractional Values (in units of e2/h, where e is the electronic charge and h is the Planck constant) of this quantity attest to topologically ordered states, which carry quasiparticles with Fractional charge and anyonic statistics. Another topological invariant is the thermal Hall conductance, which is harder to measure. For the quantized thermal Hall conductance, a Fractional Value in units of κ0 (κ0 = π2kB2/(3h), where kB is the Boltzmann constant) proves that the state of matter is non-Abelian. Such non-Abelian states lead to ground-state degeneracy and perform topological unitary transformations when braided, which can be useful for topological quantum computation. Here we report measurements of the thermal Hall conductance of several quantum Hall states in the first excited Landau level and find that the thermal Hall conductance of the 5/2 state is compatible with a half-integer Value of 2.5κ0, demonstrating its non-Abelian nature.
-
observation of half integer thermal hall conductance
arXiv: Mesoscale and Nanoscale Physics, 2017Co-Authors: Mitali Banerjee, M Heiblum, V Umansky, D E Feldman, Yuval Oreg, Ady SternAbstract:Topological states of matter are characterized by topological invariant, which are physical quantities whose Values are quantized and do not depend on details of the measured system. Of these, the easiest to probe in experiments is the electrical Hall conductance, which is expressed in units of $e^2/h$ ($e$ the electron charge, $h$ the Planck's constant). In the Fractional quantum Hall effect (FQHE), Fractional quantized Values of the electrical Hall conductance attest to topologically ordered states, which are states that carry quasi particles with Fractional charge and anyonic statistics. Another topological invariant, which is much harder to measure, is the thermal Hall conductance, expressed in units of $\kappa_0T=(\pi^2kB^2/3h)T$ ($kB$ the Boltzmann constant, $T$ the temperature). For the quantized thermal Hall conductance, a Fractional Value attests that the probed state of matter is non-abelian. Quasi particles in non-abelian states lead to a ground state degeneracy and perform topological unitary transformations among ground states when braided. As such, they may be useful for topological quantum computation. In this paper, we report our measurements of the thermal Hall conductance for several quantum Hall states in the first excited Landau level. Remarkably, we find the thermal Hall conductance of the $\nu=5/2$ state to be Fractional, and to equal $2.5\kappa_0T$
V Umansky - One of the best experts on this subject based on the ideXlab platform.
-
observation of half integer thermal hall conductance
Nature, 2018Co-Authors: Mitali Banerjee, M Heiblum, V Umansky, D E Feldman, Yuval Oreg, Ady SternAbstract:Topological states of matter are characterized by topological invariants, which are physical quantities whose Values are quantized and do not depend on the details of the system (such as its shape, size and impurities). Of these quantities, the easiest to probe is the electrical Hall conductance, and Fractional Values (in units of e2/h, where e is the electronic charge and h is the Planck constant) of this quantity attest to topologically ordered states, which carry quasiparticles with Fractional charge and anyonic statistics. Another topological invariant is the thermal Hall conductance, which is harder to measure. For the quantized thermal Hall conductance, a Fractional Value in units of κ0 (κ0 = π2kB2/(3h), where kB is the Boltzmann constant) proves that the state of matter is non-Abelian. Such non-Abelian states lead to ground-state degeneracy and perform topological unitary transformations when braided, which can be useful for topological quantum computation. Here we report measurements of the thermal Hall conductance of several quantum Hall states in the first excited Landau level and find that the thermal Hall conductance of the 5/2 state is compatible with a half-integer Value of 2.5κ0, demonstrating its non-Abelian nature.
-
observation of half integer thermal hall conductance
arXiv: Mesoscale and Nanoscale Physics, 2017Co-Authors: Mitali Banerjee, M Heiblum, V Umansky, D E Feldman, Yuval Oreg, Ady SternAbstract:Topological states of matter are characterized by topological invariant, which are physical quantities whose Values are quantized and do not depend on details of the measured system. Of these, the easiest to probe in experiments is the electrical Hall conductance, which is expressed in units of $e^2/h$ ($e$ the electron charge, $h$ the Planck's constant). In the Fractional quantum Hall effect (FQHE), Fractional quantized Values of the electrical Hall conductance attest to topologically ordered states, which are states that carry quasi particles with Fractional charge and anyonic statistics. Another topological invariant, which is much harder to measure, is the thermal Hall conductance, expressed in units of $\kappa_0T=(\pi^2kB^2/3h)T$ ($kB$ the Boltzmann constant, $T$ the temperature). For the quantized thermal Hall conductance, a Fractional Value attests that the probed state of matter is non-abelian. Quasi particles in non-abelian states lead to a ground state degeneracy and perform topological unitary transformations among ground states when braided. As such, they may be useful for topological quantum computation. In this paper, we report our measurements of the thermal Hall conductance for several quantum Hall states in the first excited Landau level. Remarkably, we find the thermal Hall conductance of the $\nu=5/2$ state to be Fractional, and to equal $2.5\kappa_0T$
D E Feldman - One of the best experts on this subject based on the ideXlab platform.
-
observation of half integer thermal hall conductance
Nature, 2018Co-Authors: Mitali Banerjee, M Heiblum, V Umansky, D E Feldman, Yuval Oreg, Ady SternAbstract:Topological states of matter are characterized by topological invariants, which are physical quantities whose Values are quantized and do not depend on the details of the system (such as its shape, size and impurities). Of these quantities, the easiest to probe is the electrical Hall conductance, and Fractional Values (in units of e2/h, where e is the electronic charge and h is the Planck constant) of this quantity attest to topologically ordered states, which carry quasiparticles with Fractional charge and anyonic statistics. Another topological invariant is the thermal Hall conductance, which is harder to measure. For the quantized thermal Hall conductance, a Fractional Value in units of κ0 (κ0 = π2kB2/(3h), where kB is the Boltzmann constant) proves that the state of matter is non-Abelian. Such non-Abelian states lead to ground-state degeneracy and perform topological unitary transformations when braided, which can be useful for topological quantum computation. Here we report measurements of the thermal Hall conductance of several quantum Hall states in the first excited Landau level and find that the thermal Hall conductance of the 5/2 state is compatible with a half-integer Value of 2.5κ0, demonstrating its non-Abelian nature.
-
observation of half integer thermal hall conductance
arXiv: Mesoscale and Nanoscale Physics, 2017Co-Authors: Mitali Banerjee, M Heiblum, V Umansky, D E Feldman, Yuval Oreg, Ady SternAbstract:Topological states of matter are characterized by topological invariant, which are physical quantities whose Values are quantized and do not depend on details of the measured system. Of these, the easiest to probe in experiments is the electrical Hall conductance, which is expressed in units of $e^2/h$ ($e$ the electron charge, $h$ the Planck's constant). In the Fractional quantum Hall effect (FQHE), Fractional quantized Values of the electrical Hall conductance attest to topologically ordered states, which are states that carry quasi particles with Fractional charge and anyonic statistics. Another topological invariant, which is much harder to measure, is the thermal Hall conductance, expressed in units of $\kappa_0T=(\pi^2kB^2/3h)T$ ($kB$ the Boltzmann constant, $T$ the temperature). For the quantized thermal Hall conductance, a Fractional Value attests that the probed state of matter is non-abelian. Quasi particles in non-abelian states lead to a ground state degeneracy and perform topological unitary transformations among ground states when braided. As such, they may be useful for topological quantum computation. In this paper, we report our measurements of the thermal Hall conductance for several quantum Hall states in the first excited Landau level. Remarkably, we find the thermal Hall conductance of the $\nu=5/2$ state to be Fractional, and to equal $2.5\kappa_0T$
