Boundary and defect criticality in topological insulators and superconductors
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866908459597824000 |
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| author | Shen, Xiaoyang Wu, Zhengzhi Jian, Shao-Kai |
| author_facet | Shen, Xiaoyang Wu, Zhengzhi Jian, Shao-Kai |
| contents | We study the boundary criticality enriched by boundary fermions, which ubiquitously emerge in topological phases of matter, with a focus on topological insulators and topological superconductors. By employing dimensional regularization and bosonization techniques, we uncover several unprecedented boundary universality classes. These include the boundary Gross-Neveu-Yukawa critical point and the special Berezinskii-Kosterlitz-Thouless (BKT) transition, both resulting from the interplay between edge modes and bulk bosons. We present a comprehensive sketch of the phase diagram that accommodates these boundary criticalities and delineate their critical exponents. Additionally, we explore a 1+1D conformal defect decorated with fermions, where a defect BKT transition is highlighted. We conclude with a discussion on potential experimental realizations of these phenomena. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_15916 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundary and defect criticality in topological insulators and superconductors Shen, Xiaoyang Wu, Zhengzhi Jian, Shao-Kai Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory We study the boundary criticality enriched by boundary fermions, which ubiquitously emerge in topological phases of matter, with a focus on topological insulators and topological superconductors. By employing dimensional regularization and bosonization techniques, we uncover several unprecedented boundary universality classes. These include the boundary Gross-Neveu-Yukawa critical point and the special Berezinskii-Kosterlitz-Thouless (BKT) transition, both resulting from the interplay between edge modes and bulk bosons. We present a comprehensive sketch of the phase diagram that accommodates these boundary criticalities and delineate their critical exponents. Additionally, we explore a 1+1D conformal defect decorated with fermions, where a defect BKT transition is highlighted. We conclude with a discussion on potential experimental realizations of these phenomena. |
| title | Boundary and defect criticality in topological insulators and superconductors |
| topic | Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.15916 |