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

Fingerprint

thermomagnetic effects
charge carriers
Charge
Collision
Functional Dependency
collisions
Heat Bath
Barycentre
Temperature Field
Interaction
Quantum Systems
center of mass
baths
temperature distribution
Magnetic Field
interactions
formalism
heat
magnetic fields

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

Cite this

Galvano- and thermo-magnetic effects at low and high temperatures within non-Markovian quantum Langevin approach. / Abdurakhmanov, I. B.; Adamian, G. G.; Antonenko, N. V.; Kanokov, Z.

In: Physica A: Statistical Mechanics and its Applications, Vol. 508, 15.10.2018, p. 613-630.

Research output: Contribution to journalArticle

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