Error-correction properties of an interacting topological insulator

authored by
Amit Jamadagni, Hendrik Weimer
Abstract

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.

Organisation(s)
QUEST-Leibniz Research School
Institute of Theoretical Physics
CRC 1227 Designed Quantum States of Matter (DQ-mat)
Type
Article
Journal
Physical Review B
Volume
106
ISSN
2469-9950
Publication date
19.09.2022
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Electronic, Optical and Magnetic Materials, Condensed Matter Physics
Electronic version(s)
https://arxiv.org/abs/2103.00011 (Access: Open)
https://doi.org/10.1103/PhysRevB.106.115133 (Access: Closed)