TY - JOUR

T1 - Equation of state and scaling relations for isotropic ferromagnets with dipolar interactions

AU - Aharony, Amnon

AU - Bruce, Alastair D.

PY - 1974

Y1 - 1974

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=26344454973&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.10.2973

DO - 10.1103/PhysRevB.10.2973

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AN - SCOPUS:26344454973

SN - 0163-1829

VL - 10

SP - 2973

EP - 2979

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

IS - 7

ER -