Critical behavior of magnets with lattice coupling

Amnon Aharony*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The exact spin Hamiltonian, induced by linear exchange coupling to a harmonic lattice with fixed periodic boundary conditions, is considered in the framework of renormalization-group recursion relations. Neglecting irrelevant variables, the Hamiltonian amounts to a replacement of the four-spin amplitude u0 by a(T-T1), with T1 proportional to the lattice compressibility. Hence the system exhibits a critical point with unrenormalized exponent values when Tc>Tt, but presumably a first-order transition for Tc<Tt, where TtfT1. The point Tc=Tt is expected to be a classical tricritical point. Experiments on NH4Cl are considered briefly.

Original languageEnglish
Pages (from-to)4314-4317
Number of pages4
JournalPhysical Review B-Condensed Matter
Issue number9
StatePublished - 1973
Externally publishedYes


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