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

I.B. Abdurakhmanov, G.G. Adamian, N.V. Antonenko and Z. Kanokov

Physica A: Statistical Mechanics and its Applications, 2018, vol. 508, issue C, 613-630

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; Shubnikov–de Haas effect; Cyclotron frequency; Friction coefficients; Langevin formalism; Non-Markovian dynamics; Electric and magnetic field (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:508:y:2018:i:c:p:613-630

DOI: 10.1016/j.physa.2018.05.121

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