Coexistence of antiferromagnetism and topological superconductivity on the honeycomb lattice Hubbard model

TL;DR

This paper investigates how antiferromagnetic order can induce a topological superconducting state with coexisting singlet and triplet pairings on the honeycomb lattice Hubbard model, revealing a topological phase transition.

Contribution

It demonstrates the emergence of a topological superconducting phase with coexisting pairings driven by antiferromagnetism in the honeycomb lattice Hubbard model, a novel finding.

Findings

Superconducting state with coexisting singlet and triplet pairings induced by antiferromagnetism.

Existence of a topological phase transition with Chern number two.

Discussion of potential experimental realization.

Abstract

Motivated by the recent numerical simulations for doped $t$-$J$ model on the honeycomb lattice, we study superconductivity of singlet and triplet pairing on the honeycomb lattice Hubbard model. We show that a superconducting state with coexisting spin-singlet and spin-triplet pairings is induced by the antiferromagnetic order near half filling. The superconducting state we obtain has a topological phase transition that separates a topologically trivial state and a nontrivial state with Chern number two. Possible experimental realization of such a topological superconductivity is also discussed.