Generalized Fokker-Planck Equation For Multichannel Disordered Quantum Conductors

Details Generalized Fokker-Planck Equation For Multichannel Disordered Quantum Conductors Generalized Fokker-Planck Equation For Multichannel Disordered Quantum Conductors

1998-12-17

arxiv.org/abs/cond-mat/9812306v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, abstract, introduction and summary rewritten for broader readership. To be published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.82.4272

The Dorokhov-Mello-Pereyra-Kumar (DMPK) equation, which describes the distribution of transmission eigenvalues of multichannel disordered conductors, has been enormously successful in describing a variety of detailed transport properties of mesoscopic wires. However, it is limited to the regime of quasi one dimension only. We derive a one parameter generalization of the DMPK equation, which should broaden the scope of the equation beyond the limit of quasi one dimension.

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