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

• Kanamaru Sadayoshi

  Department of Applied Physics, Graduate School of Engineering, Hokkaido University

• Suzuura Hidekatsu

  Department of Applied Physics, Graduate School of Engineering, Hokkaido University

• Akera Hiroshi

  Department of Applied Physics, Graduate School of Engineering, Hokkaido University

Abstract

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.

Journal

• Journal of the Physical Society of Japan

  Journal of the Physical Society of Japan 74 (7), 2069-2075, 2005

  THE PHYSICAL SOCIETY OF JAPAN

Keywords

• integer quantum Hall effect
• Ettingshausen effect
• linear-response
• local equilibrium
• thermohydrodynamics
• theory

Details

• CRID: 1390001204188126080
• NII Article ID: 110001979666
• NII Article ID: 130004539318
• NII Article ID: 210000105554
• NII Book ID: AA00704814
• DOI: 10.1143/jpsj.74.2069
• BIBCODE: 2005JPSJ...74.2069K
• ISSN: 13474073
• ISSN: 00319015
• NDL BIB ID: 7357121
• Web Site: http://id.ndl.go.jp/bib/7357121
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7357121
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.74.2069
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed