Fokker-Planck equations and density of states in disordered quantum wires
Abstract
We propose a general scheme to construct scaling equations for the density of states in disordered quantum wires for all ten pure Cartan symmetry classes. The anomalous behavior of the density of states near the Fermi level ɛ=0 for the three chiral and four Bogoliubov-de Gennes universality classes is analyzed in detail by means of a mapping to a scaling equation for the reflection from a quantum wire in the presence of an imaginary potential.
- Publication:
-
Physical Review B
- Pub Date:
- June 2001
- DOI:
- 10.1103/PhysRevB.63.235318
- arXiv:
- arXiv:cond-mat/0011146
- Bibcode:
- 2001PhRvB..63w5318T
- Keywords:
-
- 73.23.-b;
- 71.55.Jv;
- 71.23.-k;
- 72.15.Rn;
- Electronic transport in mesoscopic systems;
- Disordered structures;
- amorphous and glassy solids;
- Electronic structure of disordered solids;
- Localization effects;
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- 10 pages, 5 figures, revised version