Model for Dissipative Conductance in Fractional Quantum Hall States

Abstract

We present a model of dissipative transport in the fractional quantum Hall regime. Our model takes account of tunneling through saddle points in the effective potential for excitations created by impurities. We predict the temperature range over which activated behavior is observed and explain why this range nearly always corresponds to around a factor two in temperature in both integer quantum Hall and fractional quantum Hall systems. We identify the ratio of the gap observed in the activated behavior and the temperature of the inflection point in the Arrhenius plot as an important diagnostic for determining the importance of tunneling in real samples.

4 pages, 3 figures, errors in references corrected

References in corpus (6)

• Excitation gaps in fractional quantum Hall states: An exact diagonalization study
• Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State
• Mobility gap in fractional quantum Hall liquids: Effects of disorder and layer thickness
• Universal Prefactor of Activated Conductivity in the Quantum Hall Effect
• Hamiltonian Theory of Disorder at 1/3
• Scattering Theory for Quantum Hall Anyons in a Saddle Point Potential

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• Comment on S. H. Simon, Interpretation of thermal conductance of the $\nu =5/2$ edge, arXiv:1801.09687
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• Unconventional fractional quantum Hall states and Wigner crystallization in suspended Corbino graphene
• Mobility and quantum mobility of modern GaAs/AlGaAs heterostructures
• Valley Degenerate 2D Electrons in the Lowest Landau Level
• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• Energy gap of the even-denominator fractional quantum Hall state in bilayer graphene
• Localized quasiholes and the Majorana fermion in fractional quantum Hall state at nu=5/2 via direct diagonalization
• High-Resolution Tunneling Spectroscopy of Fractional Quantum Hall States
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• Fractional Quantum Hall States in a Ge Quantum Well
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• Manifestation of many-body interactions in the integer quantum Hall effect regime
• On the zero-field quantization of the anomalous quantum Hall effect in moiré 2D layers
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• Disorder broadening of even denominator fractional quantum Hall states in the presence of a short-range alloy potential
• Real-space renormalisation approach to the Chalker-Coddington model revisited: improved statistics