Exact Solutions of Topological Superconductor Model with Hubbard Interactions

TL;DR

This paper presents an exact solution for a 2D topological superconductor model with Hubbard interactions, revealing its band structure, topological features, and a staggered ground state distribution.

Contribution

It introduces an exactly solvable topological superconductor model with Hubbard interactions at a specific parameter point, analyzing its topological and spectral properties.

Findings

Half of the spectrum consists of flat bands at the solvable point

The model exhibits nontrivial topological properties

Ground state shows a staggered distribution of conserved quantities

Abstract

We study a two-dimensional model of topological superconductor with equal spin pairing and repulsive Hubbard interaction. When the pairing gap equals to the hopping constant, half of the spectrum of this model are flat bands, which makes this model exact solvable. The band structure and topological properties of the exact solutions of the interacting model are analyzed in details. It is found that the ground state corresponds to a staggered distribution of the conserved quantities.