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 | |
| 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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Abdurakhmanov, I. B., Adamian, G. G., Antonenko, N. V., & Kanokov, Z. (2018). Galvano- and thermo-magnetic effects at low and high temperatures within non-Markovian quantum Langevin approach. Physica A: Statistical Mechanics and its Applications, 508, 613-630. https://doi.org/10.1016/j.physa.2018.05.121