Thermopower of Quantum Hall States in Corbino Geometry as a Measure of Quasiparticle Entropy

Abstract

Using the Onsager relation between electric and heat transport coefficients, and considering the very different roles played by the quantum Hall condensate and quasiparticles in transport, we argue that near the center of a quantum Hall plateau thermopower in a Corbino geometry measures {\it "entropy per quasiparticle per quasiparticle charge"}. This relation indicates that thermopower measurement in a Corbino setup is a more direct measure of quasiparticle entropy than in a Hall bar. Treating disorder within the self-consistent Born approximation, we show through an explicit microscopic calculation that this relation holds on an integer quantum Hall plateau at low temperatures. Applying this to non-Abelian quantum Hall states, we argue that Corbino thermopower at sufficiently low temperature becomes temperature-independent, and measures the quantum dimension of non-Abelian quasiparticles that determines the topological entropy they carry.

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Cited by in corpus (14)

• Fractional charge and fractional statistics in the quantum Hall effects
• Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials
• Diffusion Thermopower of Quantum Hall States Measured in Corbino Geometry
• Thermoelectricity in Quantum-Hall Corbino Structures
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Accessing topological order in fractionalized liquids with gapped edges
• Quantum Hall interferometry in triangular domains of marginally twisted bilayer graphene
• Thermoelectric response and entropy of fractional quantum Hall systems
• Magnetocapacitance oscillations and thermoelectric effect in two-dimensional electron gas irradiated by microwaves
• Thermoelectric properties of the Corbino disk in graphene
• Thermoelectric cooling properties of a quantum Hall Corbino device
• Anisotropic Behavior of the Thermoelectric Power and the Thermal Conductivity in a Unidirectional Lateral Superlattice: A Typical Anisotropic System Exhibiting Two Distinct Nernst Coefficients
• Controlled generation and detection of a thermal bias in Corbino devices under the quantum Hall regime
• Peltier cooling in Corbino-geometry quantum Hall systems