Topological quantum criticality from multiplicative topological phases
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866908293064032256 |
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| author | Flores-Calderón, R. König, Elio J. Cook, Ashley M. |
| author_facet | Flores-Calderón, R. König, Elio J. Cook, Ashley M. |
| contents | Symmetry-protected topological phases (SPTs) characterized by short-range entanglement include many states essential to understanding of topological condensed matter physics, and the extension to gapless SPTs provides essential understanding of their consequences. In this work, we identify a fundamental connection between gapless SPTs and recently-introduced multiplicative topological phases, demonstrating that multiplicative topological phases are an intuitive and general approach to realizing concrete models for gapless SPTs. In particular, they are naturally well-suited to realizing higher-dimensional, stable, and intrinsic gapless SPTs through combination of canonical topological insulator and semimetal models with critical gapless models in symmetry-protected tensor product constructions, opening avenues to far broader and deeper investigation of topology via short-range entanglement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_17799 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Topological quantum criticality from multiplicative topological phases Flores-Calderón, R. König, Elio J. Cook, Ashley M. Strongly Correlated Electrons Mesoscale and Nanoscale Physics Statistical Mechanics Symmetry-protected topological phases (SPTs) characterized by short-range entanglement include many states essential to understanding of topological condensed matter physics, and the extension to gapless SPTs provides essential understanding of their consequences. In this work, we identify a fundamental connection between gapless SPTs and recently-introduced multiplicative topological phases, demonstrating that multiplicative topological phases are an intuitive and general approach to realizing concrete models for gapless SPTs. In particular, they are naturally well-suited to realizing higher-dimensional, stable, and intrinsic gapless SPTs through combination of canonical topological insulator and semimetal models with critical gapless models in symmetry-protected tensor product constructions, opening avenues to far broader and deeper investigation of topology via short-range entanglement. |
| title | Topological quantum criticality from multiplicative topological phases |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2311.17799 |