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

TL;DR

This paper employs a non-Markovian quantum Langevin approach to analyze galvano- and thermo-magnetic effects in a 2D quantum system, revealing temperature and magnetic field dependencies of charge transport phenomena.

Contribution

It introduces a non-Markovian quantum Langevin model to study magnetic effects in 2D charge transport, incorporating temperature-dependent particle-phonon interactions.

Findings

Magnetic effects depend on temperature and magnetic field.

Charge transport is influenced by particle-phonon interactions.

Transition processes cause magnetic effects at low temperatures.

Abstract

The quantum Langevin formalism is used to study the charge carrier transport in a twodimensional 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 result of the transitional processes at low temperatures.