Thermopower as a Possible Probe of Non-Abelian Quasiparticle Statistics in Fractional Quantum Hall Liquids

Abstract

We show in this paper that thermopower is enhanced in non-Abelian quantum Hall liquids under appropriate conditions. This is because thermopower measures entropy per electron in the clean limit, while the degeneracy and entropy associated with non-Abelian quasiparticles enhance entropy when they are present. Thus thermopower can potentially probe non-Abelian nature of the quasiparticles, and measure their quantum dimension.

5 pages. Minor revisions in response to referee comments. Published version

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• Entropy measurement of a strongly coupled quantum dot
• Thermopower of Quantum Hall States in Corbino Geometry as a Measure of Quasiparticle Entropy
• Detecting Non-Abelian Anyons by Charging Spectroscopy
• Partition Functions of Non-Abelian Quantum Hall States
• Ettingshausen effect due to Majorana modes
• Interface and Phase Transition between Moore-Read and Halperin 331 Fractional Quantum Hall States: Realization of Chiral Majorana Fermion
• Electronic measurements of entropy in meso- and nanoscale systems
• Diffusion Thermopower of Quantum Hall States Measured in Corbino Geometry
• Topological blockade and measurement of topological charge
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Identifying the topological order of quantized half-filled Landau levels through their daughter states
• Accessing topological order in fractionalized liquids with gapped edges
• Quantum Hall interferometry in triangular domains of marginally twisted bilayer graphene
• Measuring topological entanglement entropy using Maxwell relations
• Quantum thermocouples: nonlocal conversion and control of heat in nanostructures
• Detector-tuned overlap catastrophe in quantum dots
• Heat conductance oscillations in two weakly connected charge Kondo circuits
• Anisotropic Behavior of the Thermoelectric Power and the Thermal Conductivity in a Unidirectional Lateral Superlattice: A Typical Anisotropic System Exhibiting Two Distinct Nernst Coefficients
• Back-action effects in charge detection
• Design Principles for Topological Thermoelectrics