Observable Bulk Signatures of Non-Abelian Quantum Hall States

Abstract

We show that non-abelian quantum Hall states can be identified by experimental measurements of the temperature-dependence of either the electrochemical potential or the orbital magnetization. The predicted signals of non-abelian statistics are within experimental resolution, and can be clearly distinguished from other contributions under realistic circumstances. The proposed measurement technique also has the potential to resolve spin-ordering transitions in low density electronic systems in the Wigner crystal and strongly-interacting Luttinger liquid regimes.

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Cited by in corpus (40)

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• Theory of Orbital Magnetization in Solids
• Fractional charge and fractional statistics in the quantum Hall effects
• Anomalous Expansion of Attractively Interacting Fermionic Atoms in an Optical Lattice
• Fractional entropy of multichannel Kondo systems from conductance-charge relations
• Detecting the universal fractional entropy of Majorana zero modes
• Statistics of fractionalized excitations through threshold spectroscopy
• Experimental determination of the energy per particle in partially filled Landau levels
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• Striped quantum Hall state in a half-filled Landau level
• Entropy measurement of a strongly coupled quantum dot
• Thermopower of Quantum Hall States in Corbino Geometry as a Measure of Quasiparticle Entropy
• Energy gap of the even-denominator fractional quantum Hall state in bilayer graphene
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• Absence of supercurrent sign reversal in a topological junction with a quantum dot
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• Majorana fermions on the Abrikosov flux lattice in a $p_x+i{p}_y$ superconductor and thermal conductivity in superclean regime
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• Electronic measurements of entropy in meso- and nanoscale systems
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• Haldane Sashes in Quantum Hall Spectra
• Fluctuation theorems without time-reversal symmetry
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• Accessing topological order in fractionalized liquids with gapped edges
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• Direct Entropy Measurement in a Mesoscopic Quantum System
• Entropy spectroscopy of a bilayer graphene quantum dot
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• Composite Fermion Wavefunctions Derived by Conformal Field Theory
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• Back-action effects in charge detection
• 3D Non-Abelian Anyons: Degeneracy Splitting and Detection by Adiabatic Cooling