Galvano- and thermo-magnetic effects at low and high temperatures within non-Markovian quantum Langevin approach

Abstract

The quantum Langevin formalism is used to study the charge carrier transport in a two-dimensional sample. The center of mass of charge carriers is visualized as a quantum particle, while an environment acts as a heat bath coupled to it through the particle–phonon interaction. The dynamics of the charge carriers is limited by the average collision time which takes effectively into account the two-body effects. The functional dependencies of particle–phonon interaction and average collision time on the temperature and magnetic field are phenomenologically treated. The galvano-magnetic and thermo-magnetic effects in the quantum system appear as the results of the transitional processes at low temperatures.

Original language	English
Pages (from-to)	613-630
Number of pages	18
Journal	Physica A: Statistical Mechanics and its Applications
Volume	508
DOIs	https://doi.org/10.1016/j.physa.2018.05.121
Publication status	Published - 15 Oct 2018

Keywords

Classical and quantum Hall effect
Cyclotron frequency
Electric and magnetic field
Friction coefficients
Langevin formalism
Non-Markovian dynamics
Shubnikov–de Haas effect

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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10.1016/j.physa.2018.05.121

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title = "Galvano- and thermo-magnetic effects at low and high temperatures within non-Markovian quantum Langevin approach",

abstract = "The quantum Langevin formalism is used to study the charge carrier transport in a two-dimensional sample. The center of mass of charge carriers is visualized as a quantum particle, while an environment acts as a heat bath coupled to it through the particle–phonon interaction. The dynamics of the charge carriers is limited by the average collision time which takes effectively into account the two-body effects. The functional dependencies of particle–phonon interaction and average collision time on the temperature and magnetic field are phenomenologically treated. The galvano-magnetic and thermo-magnetic effects in the quantum system appear as the results of the transitional processes at low temperatures.",

keywords = "Classical and quantum Hall effect, Cyclotron frequency, Electric and magnetic field, Friction coefficients, Langevin formalism, Non-Markovian dynamics, Shubnikov–de Haas effect",

author = "Abdurakhmanov, {I. B.} and Adamian, {G. G.} and Antonenko, {N. V.} and Z. Kanokov",

year = "2018",

month = oct,

day = "15",

doi = "10.1016/j.physa.2018.05.121",

language = "English",

volume = "508",

pages = "613--630",

journal = "Physica A: Statistical Mechanics and its Applications",

issn = "0378-4371",

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T1 - Galvano- and thermo-magnetic effects at low and high temperatures within non-Markovian quantum Langevin approach

AU - Abdurakhmanov, I. B.

AU - Adamian, G. G.

AU - Antonenko, N. V.

AU - Kanokov, Z.

PY - 2018/10/15

Y1 - 2018/10/15

N2 - The quantum Langevin formalism is used to study the charge carrier transport in a two-dimensional sample. The center of mass of charge carriers is visualized as a quantum particle, while an environment acts as a heat bath coupled to it through the particle–phonon interaction. The dynamics of the charge carriers is limited by the average collision time which takes effectively into account the two-body effects. The functional dependencies of particle–phonon interaction and average collision time on the temperature and magnetic field are phenomenologically treated. The galvano-magnetic and thermo-magnetic effects in the quantum system appear as the results of the transitional processes at low temperatures.

AB - The quantum Langevin formalism is used to study the charge carrier transport in a two-dimensional sample. The center of mass of charge carriers is visualized as a quantum particle, while an environment acts as a heat bath coupled to it through the particle–phonon interaction. The dynamics of the charge carriers is limited by the average collision time which takes effectively into account the two-body effects. The functional dependencies of particle–phonon interaction and average collision time on the temperature and magnetic field are phenomenologically treated. The galvano-magnetic and thermo-magnetic effects in the quantum system appear as the results of the transitional processes at low temperatures.

KW - Classical and quantum Hall effect

KW - Cyclotron frequency

KW - Electric and magnetic field

KW - Friction coefficients

KW - Langevin formalism

KW - Non-Markovian dynamics

KW - Shubnikov–de Haas effect

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