Quantum--classical correspondence and dissipative to dissipationless crossover in magnetotransport phenomena
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.
Keywords
Cite
@article{arxiv.2307.00763,
title = {Quantum--classical correspondence and dissipative to dissipationless crossover in magnetotransport phenomena},
author = {Akiyoshi Yamada and Yuki Fuseya},
journal= {arXiv preprint arXiv:2307.00763},
year = {2024}
}