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The effect of disorder on local electron temperature in quantum Hall systems

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Abstract

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.

Graphic abstract

The electron temperature \(T_e\) versus position calculated for different values of the modulation potential \(V_0\). The calculations are done at \(T_\mathrm{L} = 0.04 \,E_F^0/k_B\) lattice temperature considering impurity \(N_l = 6600\) and repeated for three different values of magnetic field \(\hbar \omega _c/E_F^0 = 0.80\), 0.85 and 0.90. The insets show the enlarged region for the left side.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment:This is a theoretical study and no experimental data has been listed.]

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, Dokuz Eylül University, 35160, Izmir, Turkey

    Nazli Boz Yurdasan

  2. Department of Electricity and Energy, Van Vocational School, Yüzüncü Yıl University, 65080, Van, Turkey

    Sinem Erden Gulebaglan

  3. Department of Electrics and Electronics, Faculty of Engineering and Natural Sciences, Maltepe University, 34857, Istanbul, Turkey

    Afif Siddiki

Authors
  1. Nazli Boz Yurdasan
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  2. Sinem Erden Gulebaglan
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  3. Afif Siddiki
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Correspondence to Nazli Boz Yurdasan.

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Yurdasan, N.B., Gulebaglan, S.E. & Siddiki, A. The effect of disorder on local electron temperature in quantum Hall systems. Eur. Phys. J. B 94, 10 (2021). https://doi.org/10.1140/epjb/s10051-020-00007-5

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  • DOI: https://doi.org/10.1140/epjb/s10051-020-00007-5

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