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arXiv · 2307.00763

Quantum--classical correspondence and dissipative to dissipationless crossover in magnetotransport phenomena

Akiyoshi Yamada·Yuki Fuseya
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Abstract

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.

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Akiyoshi Yamada, Yuki Fuseya. 2023-07-03. Quantum--classical correspondence and dissipative to dissipationless crossover in magnetotransport phenomena. https://doi.org/10.1088/1361-648x%2Fad2ff0

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