Boundary conditions at the mobility edge

Preprint

22 December 1997

preprint
Published by arXiv in arXiv

Abstract

We show that the universal behavior of the spacing distribution of nearest energy levels at the metal-insulator Anderson transition is indeed dependent on the boundary conditions. In certain cases it is very close to the distribution 4s exp(-2 s). The compressibility of the energy levels is also found to depend on the boundary conditions. This implies that the multifractal exponent D_2 of the participation ratio depends itself on the choice of the boundaries.

Keywords

ANDERSON TRANSITION
BOUNDARY CONDITIONS
UNIVERSAL BEHAVIOR
COMPRESSIBILITY
PARTICIPATION
MOBILITY EDGE
ENERGY LEVELS
INSULATOR

All Related Versions

Version 1, 1997-12-22, ArXiv
Version 2, 1998-05-27, ArXiv
Published version: Physical Review Letters, 81 (5), 1062.

This publication has 0 references indexed in Scilit: