Date of this Version
Physical Review B
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.
Harris, A. (1975). Nature of the "Griffiths" Singularity in Dilute Magnets. Physical Review B, 12 (1), 203-207. http://dx.doi.org/10.1103/PhysRevB.12.203
Date Posted: 12 August 2015
This document has been peer reviewed.