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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.01309 |
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| _version_ | 1866909615453634560 |
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| author | Rozhkov, A. V. Sboychakov, A. O. Rakhmanov, A. L. |
| author_facet | Rozhkov, A. V. Sboychakov, A. O. Rakhmanov, A. L. |
| contents | We apply SU(4)-symmetric model to examine possible ordered states in AB stacked bilayer graphene (AB-BLG). The Hamiltonian of the system possesses this symmetry under certain assumptions. In such a model the multicomponent order parameter can be presented as a $4\times4$ matrix $\hat{Q}$. Using a mean field approximation, we derive a self-consistency equation for $\hat{Q}$. Among possible solutions of the obtained equation there are anomalous quantum Hall states, spin, charge, spin-valley density waves, inter-layer excitonic phases and their combinations. We argue that the proposed approach is a useful tool for classification of the ordered states in AB-BLG. The ordered states of the SU(4)-symmetric model demonstrate extensive degeneracies. The degeneracies can be removed by taking into account the neglected non-SU(4)-symmetric terms, disorder, substrate, as well as other perturbations. The ordered states have varying sensitivity to these factors. This suggests that, for AB-BLG, a ground state ordering type is a non-universal property, susceptible to particulars of extrinsic conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01309 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ordered states in AB bilayer graphene in SU(4)-symmetric model Rozhkov, A. V. Sboychakov, A. O. Rakhmanov, A. L. Mesoscale and Nanoscale Physics We apply SU(4)-symmetric model to examine possible ordered states in AB stacked bilayer graphene (AB-BLG). The Hamiltonian of the system possesses this symmetry under certain assumptions. In such a model the multicomponent order parameter can be presented as a $4\times4$ matrix $\hat{Q}$. Using a mean field approximation, we derive a self-consistency equation for $\hat{Q}$. Among possible solutions of the obtained equation there are anomalous quantum Hall states, spin, charge, spin-valley density waves, inter-layer excitonic phases and their combinations. We argue that the proposed approach is a useful tool for classification of the ordered states in AB-BLG. The ordered states of the SU(4)-symmetric model demonstrate extensive degeneracies. The degeneracies can be removed by taking into account the neglected non-SU(4)-symmetric terms, disorder, substrate, as well as other perturbations. The ordered states have varying sensitivity to these factors. This suggests that, for AB-BLG, a ground state ordering type is a non-universal property, susceptible to particulars of extrinsic conditions. |
| title | Ordered states in AB bilayer graphene in SU(4)-symmetric model |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2411.01309 |