Disorder in Andreev reflection of a quantum Hall edge

Abstract

We develop a theory of charge transport along the quantum Hall edge proximitized by a "dirty" superconductor. Disorder randomizes the Andreev reflection rendering the conductance of a proximitized segment a stochastic quantity with zero average for a sufficiently long segment. We find the statistical distribution of the conductance and its dependence on electron density, magnetic field, and temperature.

6 pages, 1 figure; 6 pages supplementary

References in corpus (4)

• Non-Abelian Anyons and Topological Quantum Computation
• Induced superconducting pairing in integer quantum Hall edge states
• Conductance oscillations with magnetic field of a two-dimensional electron gas-superconductor junction
• Mechanisms of Andreev reflection in quantum Hall graphene

Cited by in corpus (23)

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• Signatures of triplet superconductivity in nu=2-chiral Andreev states
• Thermoelectric processes of quantum normal-superconductor interfaces
• Quantum Hall Bogoliubov Interferometer
• Anomalous $h/2e$ periodicity and Majorana zero modes in chiral Josephson junctions
• Beyond the standard model of topological Josephson junctions: From crystalline anisotropy to finite-size and diode effects
• SU(4) Symmetry Breaking and Induced Superconductivity in Graphene Quantum Hall Edges
• Non-local transport measurements in hybrid quantum Hall - superconducting devices
• Heat-charge separation in a hybrid superconducting quantum Hall setup
• Andreev Reflection in the Quantum Hall Regime at an Al/InAs Junction on a Cleaved Edge
• Chirality-selective proximity effect between chiral $p$-wave superconductors and quantum Hall insulators
• Universal charge conductance at Abelian--non-Abelian quantum Hall interfaces
• Transparent Graphene-Superconductor Interfaces: Quantum Hall and Zero Field Regimes
• Wigner representation of Andreev-reflected charge pulses
• Floquet-Nambu theory of electron quantum optics with superconductors
• On-Demand and Tunable Andreev-Conversion of Single-Electron Charge Pulses
• Quasi-${\Phi }_0$-periodic supercurrent at quantum Hall transitions
• Revealing Superconducting Chiral Edge Modes via Resistance Distributions
• Quantized Transport of $\nu =2/3$ Fractional Quantum Hall Edge with Disordered Superconducting Proximity