Topological states in a microscopic model of interacting fermions

TL;DR

This paper introduces a microscopic, exactly solvable model of interacting fermions that exhibits topologically protected ground states and non-abelian anyonic edge states, advancing understanding of topological quantum matter.

Contribution

It presents a novel double-wire model with local interactions that demonstrates topologically protected states and non-abelian anyons, including explicit braiding properties at a microscopic level.

Findings

Topologically protected ground state degeneracy

Existence of Majorana-like edge states

Non-abelian Ising anyon statistics

Abstract

We present a microscopic model of interacting fermions where the ground state degeneracy is topologically protected. The model is based on a double-wire setup with local interactions in a particle number conserving setting. A compelling property of this model is the exact solvability for its ground states and low energy excitations. We demonstrate the appearance of topologically protected edge states and derive their braiding properties on a microscopic level. We find the non-abelian statistics of Ising anyons, which can be interpreted as Majorana-like edge states.