Equation of state and scaling relations for isotropic ferromagnets with dipolar interactions

Amnon Aharony, Alastair D. Bruce

Research output: Contribution to journalArticlepeer-review

40 Scopus citations

Abstract

The scaling equation of state for ferromagnets with both isotropic exchange and dipolar interactions near the critical point is derived to first order in ε=4-d, where d is the dimensionality of space and is also equal to the number of spin components. The resulting scaling function is found to be rather close numerically to its pure short-range counterpart at ε=1, although the functional forms are quite different. Several universal quantities are derived; in particular, the ratio of the amplitudes of the zero-field specific heats above and below Tc is found to be A+A-=65+O(ε), compared with A+A-=1+O(ε) for pure short-range interactions.

Original languageEnglish
Pages (from-to)2973-2979
Number of pages7
JournalPhysical Review B
Volume10
Issue number7
DOIs
StatePublished - 1 Jan 1974
Externally publishedYes

Fingerprint

Dive into the research topics of 'Equation of state and scaling relations for isotropic ferromagnets with dipolar interactions'. Together they form a unique fingerprint.

Cite this