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Spatial distributions of electron temperature in quantum hall systems with slowly-varying confining potentials

Spatial distributions of the electron temperature perpendicular to the applied current in quantum Hall systems with slowly-varying confining potentials are calculated in the linear-response regime by employing hydrodynamic equations for number conservation and energy conservation. The electron tempe...

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Bibliographic Details
Published in:Journal of the Physical Society of Japan 2005-07, Vol.74 (7), p.2069-2075
Main Authors: KANAMARU, Sadayoshi, SUZUURA, Hidekatsu, AKERA, Hiroshi
Format: Article
Language:English
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Summary:Spatial distributions of the electron temperature perpendicular to the applied current in quantum Hall systems with slowly-varying confining potentials are calculated in the linear-response regime by employing hydrodynamic equations for number conservation and energy conservation. The electron temperature exhibits spatial pattern, reflecting the confining potential, along the Hall field induced by the current. The local electron temperature shows oscillations as a function of the filling factor. Such spatially dependent electron temperature causes a certain change in distributions of the current density and the current-induced potential even in the linear-response regime.
ISSN:0031-9015
1347-4073
DOI:10.1143/jpsj.74.2069