Error-correction properties of an interacting topological insulator

verfasst von
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.

Organisationseinheit(en)
QUEST Leibniz Forschungsschule
Institut für Theoretische Physik
SFB 1227: Designte Quantenzustände der Materie (DQ-mat)
Typ
Artikel
Journal
Physical Review B
Band
106
ISSN
2469-9950
Publikationsdatum
19.09.2022
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Elektronische, optische und magnetische Materialien, Physik der kondensierten Materie
Elektronische Version(en)
https://arxiv.org/abs/2103.00011 (Zugang: Offen)
https://doi.org/10.1103/PhysRevB.106.115133 (Zugang: Geschlossen)