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 |
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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 journal › Article
}
TY - JOUR
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
UR - http://www.scopus.com/inward/record.url?scp=85048014875&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85048014875&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2018.05.121
DO - 10.1016/j.physa.2018.05.121
M3 - Article
AN - SCOPUS:85048014875
VL - 508
SP - 613
EP - 630
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
SN - 0378-4371
ER -