Generalization of the DMPK equation beyond quasi one dimension
K. A. Muttalib, Victor A. Gopar
Abstract
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.
Create a lesson
Related papers
Parametric Glassiness in Graphene-based Electronic Lévy Glass
Caue N. da Silva, Diego B. Fonseca, Adauto J. F. de Souza et al.
Giant geometric nonlinear transport in inhomogeneously strained Bi2Se3 single crystalline slabs
Igor Veremchuk, Pavlo Makushko, Anita Guarino et al.
Controlling the Atomic Reconstruction in Twisted MoSe2/WSe2 with a Monolayer hBN Spacer
Johannes Figueiredo, Kaiyuan Chen, Aubrey Penn et al.
Pulse-by-pulse imaging of reversible, collective reshaping in laser-excited gold nanorods
Mees Dieperink, Loriane Monin, Ichiro Ohnishi et al.
Atomic Edge Resonators Flatten Phonon Bands in Biphenylene Nanoribbons
V. L. Katkov, N. M. Chtchelkatchev, V. A. Osipov
Theory of exciton-exciton interactions in crystalline systems
L. Maisel Licerán, H. T. C. Stoof