Hofstadter Butterfly and Broken-Symmetry Quantum Hall States in α-Type Organic Dirac Fermion Systems
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866916143375056896 |
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| author | Osada, Toshihito |
| author_facet | Osada, Toshihito |
| contents | The electronic state of α-type organic Dirac fermion systems such as α-(ET)_2I_3 or α-(BETS)_2I_3 has been studied under magnetic fields using the four-band tight-binding model with Peierls phase factors. The validity of the Dirac fermion picture in these materials was confirmed by the generated Hofstadter butterfly and its Chern numbers. The four-component envelope function of the N = 0 Landau level with valley degeneracy was studied. It was found that the two degenerate valley states have different weights on A and A' molecules connected by inversion. This feature is also recognized for the N = 0 spin-split Landau levels under the Zeeman effect and the spin-orbit interaction. The spontaneous valley symmetry breaking in the N = 0 Landau levels due to the exchange interaction results in the ν= 1 and -1 quantum Hall states accompanied by the spatial charge and spin modulations in a unit cell. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_09413 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hofstadter Butterfly and Broken-Symmetry Quantum Hall States in α-Type Organic Dirac Fermion Systems Osada, Toshihito Mesoscale and Nanoscale Physics Strongly Correlated Electrons The electronic state of α-type organic Dirac fermion systems such as α-(ET)_2I_3 or α-(BETS)_2I_3 has been studied under magnetic fields using the four-band tight-binding model with Peierls phase factors. The validity of the Dirac fermion picture in these materials was confirmed by the generated Hofstadter butterfly and its Chern numbers. The four-component envelope function of the N = 0 Landau level with valley degeneracy was studied. It was found that the two degenerate valley states have different weights on A and A' molecules connected by inversion. This feature is also recognized for the N = 0 spin-split Landau levels under the Zeeman effect and the spin-orbit interaction. The spontaneous valley symmetry breaking in the N = 0 Landau levels due to the exchange interaction results in the ν= 1 and -1 quantum Hall states accompanied by the spatial charge and spin modulations in a unit cell. |
| title | Hofstadter Butterfly and Broken-Symmetry Quantum Hall States in α-Type Organic Dirac Fermion Systems |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2312.09413 |