Topological and magnetic properties of the interacting Bernevig-Hughes-Zhang model
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2023
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| author | Soni, Rahul Radhakrishnan, Harini Rosenow, Bernd Alvarez, Gonzalo Del Maestro, Adrian |
| author_facet | Soni, Rahul Radhakrishnan, Harini Rosenow, Bernd Alvarez, Gonzalo Del Maestro, Adrian |
| contents | We investigate the effects of electronic correlations on the Bernevig-Hughes-Zhang model using the real-space density matrix renormalization group (DMRG) algorithm. We introduce a method to probe topological phase transitions in systems with strong correlations using DMRG, substantiated by an unsupervised machine learning methodology that analyzes the orbital structure of the real-space edges. Including the full multi-orbital Hubbard interaction term, we construct a phase diagram as a function of a gap parameter ($m$) and the Hubbard interaction strength ($U$) via exact DMRG simulations on $N\times 4$ cylinders. Our analysis confirms that the topological phase persists in the presence of interactions, consistent with previous studies, but it also reveals an intriguing phase transition from a paramagnetic to a stripey antiferromagnetic topological insulator. The combination of the magnetic structure factor, strength of magnetic moments, and the orbitally resolved density, provides real-space information on both topology and magnetism in a strongly correlated system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_17614 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Topological and magnetic properties of the interacting Bernevig-Hughes-Zhang model Soni, Rahul Radhakrishnan, Harini Rosenow, Bernd Alvarez, Gonzalo Del Maestro, Adrian Strongly Correlated Electrons We investigate the effects of electronic correlations on the Bernevig-Hughes-Zhang model using the real-space density matrix renormalization group (DMRG) algorithm. We introduce a method to probe topological phase transitions in systems with strong correlations using DMRG, substantiated by an unsupervised machine learning methodology that analyzes the orbital structure of the real-space edges. Including the full multi-orbital Hubbard interaction term, we construct a phase diagram as a function of a gap parameter ($m$) and the Hubbard interaction strength ($U$) via exact DMRG simulations on $N\times 4$ cylinders. Our analysis confirms that the topological phase persists in the presence of interactions, consistent with previous studies, but it also reveals an intriguing phase transition from a paramagnetic to a stripey antiferromagnetic topological insulator. The combination of the magnetic structure factor, strength of magnetic moments, and the orbitally resolved density, provides real-space information on both topology and magnetism in a strongly correlated system. |
| title | Topological and magnetic properties of the interacting Bernevig-Hughes-Zhang model |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2310.17614 |