Andreev reflection in edge states of time reversal invariant Landau levels

Abstract

We describe the conductance of a normal-superconducting junction in systems with Landau levels that preserve time reversal symmetry. Those Landau levels have been observed in strained honeycomb lattices. The current is carried along the edges in both the normal and superconducting regions. When the Landau levels in the normal region are half-filled, Andreev reflection is maximal and the conductance plateaus have a peak as a function of filling factor. The height of those peaks is quantized at $4e^2/h$. The interface of the junction has Andreev edge states, which form a coherent superposition of electrons and holes that can carry a net valley current. We identify unique experimental signatures for superconductivity in time reversal invariant Landau levels.

arXiv comment4+epsilon pages, 5 figures. Fig. 3 corrected. Typos fixed

References in corpus (12)

• The electronic properties of graphene
• Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
• Andreev reflection and Klein tunneling in graphene
• Specular Andreev reflection in graphene
• Strain-induced pseudomagnetic field and Landau levels in photonic structures
• Strain-induced pseudo-magnetic field for novel graphene electronics
• Detection of valley polarization in graphene by a superconducting contact
• Andreev Reflection in Strong Magnetic Fields
• Superconducting States in pseudo-Landau Levels of Strained Graphene
• Strain-induced pseudo-magnetic fields and charging effects on CVD-grown graphene
• Superconducting proximity effect in graphene under inhomogeneous strain
• Stability of edge states in strained graphene

Cited by in corpus (5)

• Pseudo-Landau levels of Bogoliubov quasiparticles in strained nodal superconductors
• Andreev reflection at the interface with an oxide in the quantum Hall regime
• Anomalous quantum interference effects in graphene SNS junctions due to strain-induced gauge fields
• Helical superconducting edge modes from pseudo-Landau levels in graphene
• Determination of Gap Solution and Critical Temperature in Doped Graphene Superconductivity