https://doi.org/10.1140/epjb/s10051-020-00007-5
Regular Article - Solid State and Materials
The effect of disorder on local electron temperature in quantum Hall systems
1
Department of Physics, Faculty of Science, Dokuz Eylül University, 35160, Izmir, Turkey
2
Department of Electricity and Energy, Van Vocational School, Yüzüncü Yıl University, 65080, Van, Turkey
3
Department of Electrics and Electronics, Faculty of Engineering and Natural Sciences, Maltepe University, 34857, Istanbul, Turkey
Received:
12
May
2020
Accepted:
3
November
2020
Published online:
11
January
2021
The local electron temperature distribution is calculated considering a two dimensional electron system in the integer quantum Hall regime in presence of disorder and uniform perpendicular magnetic fields. We solve thermo-hydrodynamic equations to obtain the spatial distribution of the local electron temperature in the linear-response regime. It is observed that, the variations of electron temperature exhibit an antisymmetry regarding the center of the sample in accordance with the location of incompressible strips. To understand the effect of sample mobility on the local electron temperature we impose a disorder potential calculated within the screening theory. Here, long range potential fluctuations are assumed to simulate cumulative disorder potential depending on the impurity atoms. We observe that the local electron temperature strongly depends on the number of impurities in narrow samples.
© EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021
