Andreev Reflection in Strong Magnetic Fields

TL;DR

This paper investigates how strong magnetic fields influence Andreev reflection and quasiparticle behavior at superconductor-normal interfaces, revealing bound states and their transport properties.

Contribution

It introduces a detailed analysis of Andreev edge states formed under strong magnetic fields, combining superconductivity and quantum Hall effects.

Findings

Bound states are formed due to magnetic confinement and superconducting gap.

The energy spectrum of Andreev edge states is characterized.

Transport properties of these states are calculated.

Abstract

We have studied the interplay of Andreev reflection and cyclotron motion of quasiparticles at a superconductor-normal-metal interface with a strong magnetic field applied parallel to the interface. Bound states are formed due to the confinement introduced both by the external magnetic field and the superconducting gap. These bound states are a coherent superposition of electron and hole edge excitations similar to those realized in finite quantum-Hall samples. We find the energy spectrum for these Andreev edge states and calculate transport properties.