Edge Reconstruction in a Quantum Spin Hall Insulator
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908490031693824 |
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| author | Soni, Rahul Thamm, Matthias Alvarez, Gonzalo Rosenow, Bernd Del Maestro, Adrian |
| author_facet | Soni, Rahul Thamm, Matthias Alvarez, Gonzalo Rosenow, Bernd Del Maestro, Adrian |
| contents | We study interaction-driven edge reconstruction in a quantum spin Hall insulator described by the Bernevig-Hughes-Zhang model with Kanamori-Hubbard interactions using the real-space density matrix renormalization group method in both the grand-canonical and canonical ensembles. For a two-dimensional cylinder with a smooth edge, we identify discrete particle-number transitions that lead to a spin-polarized edge state stabilized by an emergent ferromagnetic exchange interaction. The reconstruction is orbital-selective, occurring predominantly in the $s$-orbital channel. Our results reveal a fully microscopic mechanism for emergent spin polarization at the edge that could compromise the topological protection of helical edge states by time reversal symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10726 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Edge Reconstruction in a Quantum Spin Hall Insulator Soni, Rahul Thamm, Matthias Alvarez, Gonzalo Rosenow, Bernd Del Maestro, Adrian Mesoscale and Nanoscale Physics We study interaction-driven edge reconstruction in a quantum spin Hall insulator described by the Bernevig-Hughes-Zhang model with Kanamori-Hubbard interactions using the real-space density matrix renormalization group method in both the grand-canonical and canonical ensembles. For a two-dimensional cylinder with a smooth edge, we identify discrete particle-number transitions that lead to a spin-polarized edge state stabilized by an emergent ferromagnetic exchange interaction. The reconstruction is orbital-selective, occurring predominantly in the $s$-orbital channel. Our results reveal a fully microscopic mechanism for emergent spin polarization at the edge that could compromise the topological protection of helical edge states by time reversal symmetry. |
| title | Edge Reconstruction in a Quantum Spin Hall Insulator |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2508.10726 |