Hydrodynamic Equations in Quantum Hall Systems at Large Currents

Details Hydrodynamic Equations in Quantum Hall Systems at Large Currents Hydrodynamic Equations in Quantum Hall Systems at Large Currents

2001-10-29

arxiv.org/abs/cond-mat/0110583v1

J. Phys. Soc. Jpn. 71, 228-236 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 2 Postscript figures, to be published in J. Phys. Soc. Jpn. 71 (2002) No.1

Scientific paper

10.1143/JPSJ.71.228

Hydrodynamic equations (HDEQs) are derived which describe spatio-temporal evolutions of the electron temperature and the chemical potential of two-dimensional systems in strong magnetic fields in states with large diagonal resistivity appearing at the breakdown of the quantum Hall effect. The derivation is based on microscopic electronic processes consisting of drift motions in a slowly-fluctuating potential and scattering processes due to electron-electron and electron-phonon interactions. In contrast with the usual HDEQs, one of the derived HDEQs has a term with an energy flux perpendicular to the electric field due to the drift motions in the magnetic field. As an illustration, the current distribution is calculated using the derived HDEQs.

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