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, Z. Kanokov

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)613-630
Number of pages18
JournalPhysica A: Statistical Mechanics and its Applications
Volume508
DOIs
Publication statusPublished - 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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