Entanglement Spectrum of Su-Schrieffer-Heeger-Hubbard Model

TL;DR

This paper analyzes the entanglement spectrum of the Su-Schrieffer-Heeger-Hubbard model to identify topological phases through eigenvalue degeneracies, providing insights into bulk-edge correspondence and a method applicable to other topological systems.

Contribution

It demonstrates that the entanglement spectrum's eigenvalue degeneracy can identify topological phases without open boundary conditions, offering a new approach for studying topological matter.

Findings

Degeneracy of entanglement spectrum eigenvalues indicates topological phases.

Periodic boundary conditions suffice for phase diagram determination.

Bulk-edge correspondence is interpreted through entanglement spectrum analysis.

Abstract

We investigate the entanglement spectrum of the ground state of Su-Schrieffer-Heeger-Hubbard model. The topological phases of the model can be identified by degeneracy of the largest eigenvalues of entanglement spectrum. The study of the periodic boundary condition is enough to obtain the phase diagram of the model, without the consideration of the open boundary condition case. Physical interpretation about the bulk-edge correspondence in the entanglement spectrum is presented. The method of the entanglement spectrum can be applicable in studying other topological phases of matter.