Inequality for the mobility edge behaviour
- 30 January 1980
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 13 (3), L45-L46
- https://doi.org/10.1088/0022-3719/13/3/003
Abstract
It is shown that the averaged Green's function G of a particle in a random potential cannot diverge like (E-Ec)- gamma as a function of the energy E with gamma >1. Thus the conventional critical behaviour of the n=O vector model cannot yield a description of the mobility edge behaviour.Keywords
This publication has 6 references indexed in Scilit:
- The mobility edge as a spin-glass problemJournal of Physics C: Solid State Physics, 1977
- Renormalization group and critical localizationPhysical Review B, 1977
- Electronic properties of disordered systems as derived by analytic continuation from renormalization group theoryPhysics Letters A, 1976
- Comments on the critical behavior of random systemsPhysical Review B, 1976
- Phase transitions for the one-dimensional Landau-Ginzburg system and their relation to the theory of polymers and of electrons in a random potentialJournal of Physics C: Solid State Physics, 1975
- A second quantization formulation for electrons in disordered systemsJournal of Physics C: Solid State Physics, 1975