Magnetic quantum oscillations of in-plane Hall conductivity and magnetoresistance tensor in quasi-two-dimensional metals

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Auteurs principaux: Grigoriev, Pavel D., Mogilyuk, Taras I.
Format: Preprint
Publié: 2023
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author Grigoriev, Pavel D.
Mogilyuk, Taras I.
author_facet Grigoriev, Pavel D.
Mogilyuk, Taras I.
contents We develop the theory of magnetoresistance oscillations in layered quasi-two-dimensional (quasi-2D) metals. Using the Kubo-Streda formula, we calculate the Hall intralayer conductivity in a magnetic field perpendicular to conducting layers. The analytical expressions for the amplitudes and phases of magnetic quantum oscillations (MQO) and of the difference or the so-called slow oscillations (SO) are derived as a function of several parameters: magnetic field strength, interlayer transfer integral, temperature, and the electron mean-free time. We calculate the quantum oscillations of the magnetoresistance tensor, because the magnetoresistance rather than conductivity is usually measured. We also discuss the averaging of magnetoresistance oscillations over MQO period due to finite temperature and long-range sample inhomogeneities. The results obtained are useful to analyze experimental data on magnetoresistance oscillations in various quasi-2D metals.
format Preprint
id arxiv_https___arxiv_org_abs_2312_07496
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Magnetic quantum oscillations of in-plane Hall conductivity and magnetoresistance tensor in quasi-two-dimensional metals
Grigoriev, Pavel D.
Mogilyuk, Taras I.
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
We develop the theory of magnetoresistance oscillations in layered quasi-two-dimensional (quasi-2D) metals. Using the Kubo-Streda formula, we calculate the Hall intralayer conductivity in a magnetic field perpendicular to conducting layers. The analytical expressions for the amplitudes and phases of magnetic quantum oscillations (MQO) and of the difference or the so-called slow oscillations (SO) are derived as a function of several parameters: magnetic field strength, interlayer transfer integral, temperature, and the electron mean-free time. We calculate the quantum oscillations of the magnetoresistance tensor, because the magnetoresistance rather than conductivity is usually measured. We also discuss the averaging of magnetoresistance oscillations over MQO period due to finite temperature and long-range sample inhomogeneities. The results obtained are useful to analyze experimental data on magnetoresistance oscillations in various quasi-2D metals.
title Magnetic quantum oscillations of in-plane Hall conductivity and magnetoresistance tensor in quasi-two-dimensional metals
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2312.07496