Spatial Distributions of Electron Temperature in Quantum Hall Systems with Slowly-Varying Confining Potentials

Kanamaru, Sadayoshi; Suzuura, Hidekatsu; Akera, Hiroshi

doi:10.1143/jpsj.74.2069

Cited by 2 publications

(1 citation statement)

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“…Other non-linear response effects, which in principle should be considered and which become important near the breakdown of the QHE, are Joule heating effects due to the imposed dissipative current, which lead to position-dependent changes of the electron temperature, and as a consequence, of the conductivity. Such temperature profiles in the presence of ISs have recently been discussed by Akera and coworkers [53,54], but will not be considered further in the present paper. Figure 8 [29] shows selfconsistent results without and with imposed current , y I which is chosen to yield for the total variation of the electrochemical potential across the sample 0 *( ) *( ) 0 2 .…”

Section: Assumption Of Local Equilibriummentioning

confidence: 83%

The effect of screening on current distribution and conductance quantisation in narrow quantum Hall systems

Gerhardts

2008

Physica Status Solidi (b)

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We summarize and critically discuss the screening theory of the integer quantized Hall effect (IQHE), which was recently developed in order to understand scanning‐force‐microscope experiments on the current distribution in narrow Hall bars. The theory is based on the combination of a self‐consistent, non‐linear screening theory with a linear, local transport theory. In addition to the explanation of the mentioned experiments, it allows a simple understanding of the IQHE, including the enormous reproducibility of the measured quantized resistance values. Both achievements result from two key mechanisms: The first, which follows from the screening theory, is the existence of incompressible strips, with integer values of the local Landau level filling factor and quantized values of longitudinal and Hall resistivity, in certain magnetic field intervals. The second, a result of the local transport theory, is the confinement of an imposed dissipative current to these strips. This confinement leads to the quantization of the global resistances, without any localization assumptions. We also discuss limitations and possible extensions as well as further applications of this theory. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Section: Assumption Of Local Equilibriummentioning

confidence: 83%