Topological superfluid in a fermionic bilayer optical lattice

TL;DR

This paper proposes a topological superfluid phase in a fermionic bilayer optical lattice with potential applications in quantum computing, characterized by non-Abelian anyons and topological edge states.

Contribution

It introduces a novel topological superfluid phase with C=1 in an optical lattice, analyzing its properties and phase transitions using advanced theoretical methods.

Findings

Identification of a C=1 topological superfluid with gapless edge states

Calculation of phase stiffness using random-phase-approximation

Derivation of Kosterlitz-Thouless transition temperature

Abstract

In this paper, a topological superfluid phase with Chern number C=1 possessing gapless edge states and non-Abelian anyons is designed in a C=1 topological insulator proximity to an s-wave superfluid on an optical lattice with the effective gauge field and layer-dependent Zeeman field coupled to ultracold fermionic atoms pseudo spin. We also study its topological properties and calculate the phase stiffness by using the random-phase-approximation approach. Finally we derive the temperature of the Kosterlitz-Thouless transition by means of renormalized group theory. Owning to the existence of non-Abelian anyons, this C=1 topological superfluid may be a possible candidate for topological quantum computation.