- Author
- Bram Vancraeynest-De Cuiper (UGent) , Nicolas Dewolf (UGent) , Jutho Haegeman (UGent) and Frank Verstraete (UGent)
- Organization
- Project
-
- ERQUAF (Entanglement and Renormalisation for Quantum Fields)
- QUTE (Quantum tensor networks and entanglement)
- An entanglement perspective on generalized symmetries, dualities and anomalies
- A high-performance tensor network library for classical and quantum many body physics
- Abstract
- We undertake a systematic study of symmetry-protected topological gapped phases of quantum spin chains in the presence of the quasi-one-dimensional frieze space groups. Here, the spatial symmetries of the one-dimensional lattice are considered together with an additional 'vertical reflection', which we take to be an on-site $\mathbb{Z}_2$ symmetry. We identify seventeen distinct non-trivial phases and define canonical forms. If time-reversal is combined with a shift over one site, then no new topological phases arise. We furthermore construct explicit renormalization-group fixed point wavefunctions for symmetry-protected topological phases with global on-site symmetries, and demonstrate how group cohomology can be computed using the Smith normal form.
Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8743031
- MLA
- Vancraeynest-De Cuiper, Bram, et al. “One-Dimensional SPT Phases Protected by Frieze Symmetries.” PHYSICAL REVIEW B, 2022, doi:10.48550/arXiv.2202.12880.
- APA
- Vancraeynest-De Cuiper, B., Dewolf, N., Haegeman, J., & Verstraete, F. (2022). One-dimensional SPT phases protected by frieze symmetries. https://doi.org/10.48550/arXiv.2202.12880
- Chicago author-date
- Vancraeynest-De Cuiper, Bram, Nicolas Dewolf, Jutho Haegeman, and Frank Verstraete. 2022. “One-Dimensional SPT Phases Protected by Frieze Symmetries.” PHYSICAL REVIEW B. https://doi.org/10.48550/arXiv.2202.12880.
- Chicago author-date (all authors)
- Vancraeynest-De Cuiper, Bram, Nicolas Dewolf, Jutho Haegeman, and Frank Verstraete. 2022. “One-Dimensional SPT Phases Protected by Frieze Symmetries.” PHYSICAL REVIEW B. doi:10.48550/arXiv.2202.12880.
- Vancouver
- 1.Vancraeynest-De Cuiper B, Dewolf N, Haegeman J, Verstraete F. One-dimensional SPT phases protected by frieze symmetries. PHYSICAL REVIEW B. 2022.
- IEEE
- [1]B. Vancraeynest-De Cuiper, N. Dewolf, J. Haegeman, and F. Verstraete, “One-dimensional SPT phases protected by frieze symmetries,” PHYSICAL REVIEW B. 2022.
@misc{8743031,
abstract = {{We undertake a systematic study of symmetry-protected topological gapped phases of quantum spin chains in the presence of the quasi-one-dimensional frieze space groups. Here, the spatial symmetries of the one-dimensional lattice are considered together with an additional 'vertical reflection', which we take to be an on-site $\mathbb{Z}_2$ symmetry. We identify seventeen distinct non-trivial phases and define canonical forms. If time-reversal is combined with a shift over one site, then no new topological phases arise. We furthermore construct explicit renormalization-group fixed point wavefunctions for symmetry-protected topological phases with global on-site symmetries, and demonstrate how group cohomology can be computed using the Smith normal form.}},
author = {{Vancraeynest-De Cuiper, Bram and Dewolf, Nicolas and Haegeman, Jutho and Verstraete, Frank}},
language = {{eng}},
series = {{PHYSICAL REVIEW B}},
title = {{One-dimensional SPT phases protected by frieze symmetries}},
url = {{http://dx.doi.org/10.48550/arXiv.2202.12880}},
year = {{2022}},
}
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