Generalization of the DMPK equation beyond quasi one dimension
نویسنده
چکیده
Electronic transport properties in a disordered quantum wire are very well described by the DorokhovMello-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-onedimensional 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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