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)
