A new class of solutions of the Dorokhov-Mello-Pereyra-Kumar equation

摘要

We introduce and discuss a new class of solutions of the Dorokhov-Mello-Pereyra-Kumar (DMPK) equation in which some of the eigenvalues are grouped into clusters which are conserved in the asymptotic large distance limit (i.e. as the length of the wire increases). We give an explicit expression for the asymptotic expansion of these solutions and suggest some possible applications. In particular, these new solutions could be useful for avoiding the quasi-one-dimensional constraint in the DMPK equation and for studying the crossover between the metallic and insulating phases. [References: 29]