Quantum--classical correspondence and dissipative to dissipationless crossover in magnetotransport phenomena
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866929322602790912 |
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| author | Yamada, Akiyoshi Fuseya, Yuki |
| author_facet | Yamada, Akiyoshi Fuseya, Yuki |
| contents | The three-dimensional magneto-conductivity tensor was derived in a gauge invariant form based on the Kubo formula considering the quantum effect under a magnetic field, such as the Landau quantization and the quantum oscillations. We analytically demonstrated that the quantum formula of the magneto-conductivity can be obtained by adding a quantum oscillation factor to the classical formula. This result establishes the quantum--classical correspondence, which has long been missing in magnetotransport phenomena. Moreover, we found dissipative-to-dissipationless crossover in the Hall conductivity by paying special attention to the analytic properties of thermal Green's function. Finally, by calculating the magnetoresistance of semimetals, we identified a phase shift in quantum oscillation originating from the dissipationless transport predominant at high fields. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2307_00763 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum--classical correspondence and dissipative to dissipationless crossover in magnetotransport phenomena Yamada, Akiyoshi Fuseya, Yuki Mesoscale and Nanoscale Physics Materials Science The three-dimensional magneto-conductivity tensor was derived in a gauge invariant form based on the Kubo formula considering the quantum effect under a magnetic field, such as the Landau quantization and the quantum oscillations. We analytically demonstrated that the quantum formula of the magneto-conductivity can be obtained by adding a quantum oscillation factor to the classical formula. This result establishes the quantum--classical correspondence, which has long been missing in magnetotransport phenomena. Moreover, we found dissipative-to-dissipationless crossover in the Hall conductivity by paying special attention to the analytic properties of thermal Green's function. Finally, by calculating the magnetoresistance of semimetals, we identified a phase shift in quantum oscillation originating from the dissipationless transport predominant at high fields. |
| title | Quantum--classical correspondence and dissipative to dissipationless crossover in magnetotransport phenomena |
| topic | Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2307.00763 |