Error-correction properties of an interacting topological insulator

We analyze the phase diagram of a topological insulator model including antiferromagnetic interactions in the form of an extended Su-Schrieffer-Heeger model. To this end, we employ a recently introduced operational definition of topological order based on the ability of a system to perform topological error correction. We show that the necessary error correction statistics can be obtained efficiently using a Monte Carlo sampling of a matrix product state representation of the ground state wave function. Specifically, we identify two distinct symmetry-protected topological phases corresponding to two different fully dimerized reference states. Finally, we extend the notion of error correction to classify thermodynamic phases to those exhibiting local order parameters, finding a topologically trivial antiferromagnetic phase for sufficiently strong interactions.

Automated summary

This study analyzes the phase diagram of a topological insulator model with antiferromagnetic interactions using a topological error correction method. It shows that efficient error correction statistics can be obtained through Monte Carlo sampling of ground state wave function represented by matrix product states, identifying two distinct topological phases as well as a topologically trivial antiferromagnetic phase.