Hydrodynamic Equation for the Breakdown of the Quantum Hall Effect in a Uniform Current : Condensed Matter: Electronic Properties, etc.
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概要
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The hydrodynamic equation for the spatial and temporal evolutions of the electron temperature T_e in the breakdown of the quantum Hall effect at even-integer filling factors in a uniform current density j_x is derived from the Boltzmann-type equation, which takes into account electron-electron and electron-phonon scattering processes. The derived equation has a drift term, which is proportional to j_x and the first spatial derivative of T_e. When applied to the spatial evolution of T. in a sample with an abrupt change of the width along the current direction, the equation gives a distinct dependence on the current direction as well as a critical relaxation, in agreement with results of recent experiments.
- 社団法人日本物理学会の論文
- 2001-06-15
著者
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AKERA Hiroshi
Department of Physics,Faculty of Science,University of Tokyo
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Akera H
Department Of Applied Physics Hokkaido University
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Akera Hiroshi
Department Of Applied Physics Faculty Of Engineering Hokkaido University
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