Department of Physics Papers

Document Type

Journal Article

Date of this Version

10-15-1973

Publication Source

Physical Review B

Volume

8

Issue

8

Start Page

3661

Last Page

3664

DOI

10.1103/PhysRevB.8.3661

Abstract

We study the lattice model of a random alloy whose Hamiltonian is H=−Σr,δt arar+δ + Σrεrarar, where δ are nearest-neighbor vectors and εr is a random site-diagonal energy uniformly distributed over the interval 0≤εr≤W. We prove that the integrated density of states per site N−1Z(E) satisfies the inequality, N−1Z(E)≤C1e−C2/E, where C1 and C2 are constants.

Comments

At the time of publication, author A. Brooks Harris was affiliated with Oxford University. Currently, he is a faculty member in the Department of Physics at the University of Pennsylvania.

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Date Posted: 12 August 2015

This document has been peer reviewed.