Details
| Original language | English |
|---|---|
| Article number | 115133 |
| Journal | Physical Review B |
| Volume | 106 |
| Issue number | 11 |
| Publication status | Published - 19 Sept 2022 |
Abstract
Keywords
- cond-mat.str-el, quant-ph
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 106, No. 11, 115133, 19.09.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Error-correction properties of an interacting topological insulator
AU - Jamadagni, Amit
AU - Weimer, Hendrik
N1 - Funding Information: We thank S. Diehl, P. Recher, and B. Vermersch for fruitful discussions. This work was funded by the Volkswagen Foundation, by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) within SFB 1227 (DQ-mat, project A04), SPP 1929 (GiRyd), and under Germany's Excellence Strategy – EXC-2123 QuantumFrontiers (Grant No. 390837967).
PY - 2022/9/19
Y1 - 2022/9/19
N2 - 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.
AB - 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.
KW - cond-mat.str-el
KW - quant-ph
UR - http://www.scopus.com/inward/record.url?scp=85139395929&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.106.115133
DO - 10.1103/PhysRevB.106.115133
M3 - Article
VL - 106
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 11
M1 - 115133
ER -