Asymptotic density of electronic energy levels for a simple model of a disordered system

15 May 1976

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 13 (10) , 4555-4559
https://doi.org/10.1103/physrevb.13.4555

Abstract

The integrated density of energy levels for the Frisch-Lloyd model of a disordered system is calculated in the limit of very large negative energy, when the potential is attractive. It is found that the level density goes to zero, but not rapidly enough for the partition function to exist. Therefore the Frisch-Lloyd model for attractive potentials does not represent a stable physical system.

Keywords

FUNCTION
RAPIDLY
ASYMPTOTIC
PARTITION
LLOYD MODEL
DISORDERED SYSTEM
FRISCH LLOYD

This publication has 1 reference indexed in Scilit:

Electron Levels in a One-Dimensional Random Lattice
Physical Review B, 1960