Hydrodynamic Equation for the Breakdown of the Quantum Hall Effect in a Uniform Current
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN(2013)
摘要
The hydrodynamic equation for the spatial and temporal evolutions of the electron temperature T, in the breakdown of the quantum Hall effect at even-integer filling factors: ill 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-e 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.
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关键词
integer quantum Hall effect,nonlinear transport,theory
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