Theoretical Investigation of Local Electron Temperature in Quantum Hall Systems
Abstract
In this work we solve thermo-hydrodynamical equations considering a two dimensional electron system in the integer quantum Hall regime, to calculate the spatial distribution of the local electron temperature. We start from the self-consistently calculated electrostatic and electrochemical potentials in equilibrium. Next, by imposing an external current, we investigate the variations of the electron temperature in the linear-response regime. Here a local relation between the electron density and conductivity tensor elements is assumed. Following the Ohm's law we obtain local current densities and by implementing the results of the thermo-hydrodynamical theory, calculate the local electron temperature. We observe that the local electron temperature strongly depends on the formation of compressible and incompressible strips.
Keywords
Cite
@article{arxiv.1203.2774,
title = {Theoretical Investigation of Local Electron Temperature in Quantum Hall Systems},
author = {N. Boz Yurdaşan and K. Akgüngör and A. Siddiki and İ. Sökmen},
journal= {arXiv preprint arXiv:1203.2774},
year = {2012}
}
Comments
10 pages, 4 figures