Low-temperature scaling for systems with random fields and anisotropies

Amnon Aharony, E. Pytte

Research output: Contribution to journalArticlepeer-review

155 Scopus citations

Abstract

Random fields (or anisotropies) shift the lower critical dimensionality of spin systems from dc0 to dc. For dimensionalities dc0<d<dc at low temperatures T, the magnetization has a discontinuity (from zero to M) when (the average square field) approaches zero. The correlation length diverges as. The structure factor is shown to scale as S(q,)=dS»(q). Simple assumptions on scaling near T=0 yield "=1(dc-d), with dc=4 for continuous symmetry spins and dc=2 for Ising spins.

Original languageEnglish
Pages (from-to)5872-5874
Number of pages3
JournalPhysical Review B
Volume27
Issue number9
DOIs
StatePublished - 1 Jan 1983
Externally publishedYes

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