Intra-valley Spin-triplet $p+ip$ Superconducting Pairing in Lightly Doped Graphene

TL;DR

This paper predicts that lightly doped graphene favors intra-valley spin-triplet p+ip superconductivity under certain interactions, and proposes a scheme for topological quantum computing using strain and magnetic fields.

Contribution

It introduces the intra-valley spin-triplet p+ip pairing state in lightly doped graphene and suggests a method for topological quantum computation based on this pairing.

Findings

Intra-valley spin-triplet p+ip pairing is favored near Dirac points with dominant inter-sublattice attraction.

Proposes a scheme for topological quantum computing in graphene using strain and magnetic fields.

Highlights the conditions under which this unconventional pairing state is stable.

Abstract

We analyze various possible superconducting pairing states and their relative stabilities in lightly doped graphene. We show that, when inter-sublattice electron-electron attractive interaction dominates and Fermi level is close to Dirac points, the system will favor intra-valley spin-triplet $p+\mathrm{i}p$ pairing state. Based on the novel pairing state, we further propose a scheme for doing topological quantum computation in graphene by engineering local strain fields and external magnetic fields.