TY - JOUR
T1 - Critical behavior of magnets with lattice coupling
AU - Aharony, Amnon
PY - 1973
Y1 - 1973
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=4243052893&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.8.4314
DO - 10.1103/PhysRevB.8.4314
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AN - SCOPUS:4243052893
SN - 0163-1829
VL - 8
SP - 4314
EP - 4317
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
IS - 9
ER -