Dipolar interactions at ferromagnetic critical points

Michael E. Fisher*, Amnon Aharony

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

158 Scopus citations


The critical behavior for T>Tc and H=0 of ferromagnets with both isotropic exchange coupling and dipolar interactions is studied by exact renormalization-group techniques in d=4-ε dimensions (ε>0) with (n=d)-component spins. A crossover from short-range isotropic (Heisenberg) to characteristic dipolar behavior occurs. The asymptotic spin-spin correlation function develops a factor δαβ-qαqβq2 which suppresses longitudinal fluctuations. Experiments on EuO and EuS are considered.

Original languageEnglish
Pages (from-to)559-562
Number of pages4
JournalPhysical Review Letters
Issue number12
StatePublished - 1973
Externally publishedYes


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