Generalization of the DMPK equation beyond quasi one dimension

Details Generalization of the DMPK equation beyond quasi one dimension Generalization of the DMPK equation beyond quasi one dimension

2002-05-27

arxiv.org/abs/cond-mat/0205545v2

Phys. Rev. B 66 115318 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 1 figure. Published version

Scientific paper

10.1103/PhysRevB.66.115318

Electronic transport properties in a disordered quantum wire are very well described by the Dorokhov-Mello-Pereyra-Kumar (DMPK) equation, which describes the evolution of the transmission eigenvalues as a function of the length of a multichannel conductor. However, the DMPK equation is restricted to quasi one dimensional systems only. We derive a generalized DMPK equation for higher dimensions, containing dependence on the dimensionality through the properties of the transmission eigenvectors, by making certain statistical assumptions about the transfer matrix. An earlier phenomenological generalization is obtained as a special case.

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