Department of Physics Papers

Document Type

Journal Article

Date of this Version

7-1-1975

Publication Source

Physical Review B

Volume

12

Issue

1

Start Page

203

Last Page

207

DOI

10.1103/PhysRevB.12.203

Abstract

The nature of the singular behavior pointed out by Griffiths for H=0 in dilute magnets is investigated. It is argued that for concentration p less than that for formation of an infinite cluster, all derivatives of M(H) are finite. The nonanalyticity in M(H) is due to a branch cut along the imaginary H axis having weight exp[−(const)/|H|] for |H|→0, and is thus too weak to be experimentally observable. Some numerical and exact analytic results for the dilute magnet on a Bethe lattice are presented.

Comments

At the time of publication, author A. Brooks Harris was affiliated with Sandia Laboratories, Albuquerque, NM. 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.