A new class of solutions of the DMPK equation

Details A new class of solutions of the DMPK equation A new class of solutions of the DMPK equation

2003-03-17

arxiv.org/abs/cond-mat/0303312v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages. Enlarged version, with a detailed introduction to the method and new applications. To appear in J.Phys. C

Scientific paper

We introduce and discuss a new class of solutions of the 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 solution could be useful to avoid the quasi one dimensional constraint in the DMPK equation and to study the crossover between the metallic and insulating phases.

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