Extraordinary transition at the edge of a correlated topological insulator
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909718390243328 |
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| author | Toldin, Francesco Parisen Assaad, Fakher F. Metlitski, Max A. |
| author_facet | Toldin, Francesco Parisen Assaad, Fakher F. Metlitski, Max A. |
| contents | The interplay of topology and correlations defines a new playground to study boundary criticality in quantum systems. We employ large scale auxiliary field quantum Monte Carlo simulations to study a two-dimensional Kane-Mele-Hubbard model on the honeycomb lattice with zig-zag edges and the Hubbard U-term tuned to the three-dimensional XY bulk critical point. Upon varying the Hubbard-U term on the edge we observe a boundary phase transition from an ordinary phase with a helical Luttinger liquid edge decoupled from the critical bulk to an extraordinary-log phase characterized by a logarithmically diverging spin stiffness. We find that the spectral functions exhibit distinct features in the two phases giving potential experimental signatures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00999 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extraordinary transition at the edge of a correlated topological insulator Toldin, Francesco Parisen Assaad, Fakher F. Metlitski, Max A. Strongly Correlated Electrons Mesoscale and Nanoscale Physics Statistical Mechanics The interplay of topology and correlations defines a new playground to study boundary criticality in quantum systems. We employ large scale auxiliary field quantum Monte Carlo simulations to study a two-dimensional Kane-Mele-Hubbard model on the honeycomb lattice with zig-zag edges and the Hubbard U-term tuned to the three-dimensional XY bulk critical point. Upon varying the Hubbard-U term on the edge we observe a boundary phase transition from an ordinary phase with a helical Luttinger liquid edge decoupled from the critical bulk to an extraordinary-log phase characterized by a logarithmically diverging spin stiffness. We find that the spectral functions exhibit distinct features in the two phases giving potential experimental signatures. |
| title | Extraordinary transition at the edge of a correlated topological insulator |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2508.00999 |