TY - JOUR
T1 - Critical behavior of magnets with dipolar interactions. IV. Anisotropy
AU - Aharony, Amnon
PY - 1973
Y1 - 1973
N2 - Renormalization-group recursion formulas for magnets with dipolar interactions, derived in previous papers, are generalized to include the case of anisotropic exchange and dipolar forces. For a ferromagnet with a dominant m isotropy (the original spins having n=d=4-ε>m>1 components), the critical exponent ν is 2ν=1+(12)(m+2)2ε(m2+10m+12)+O (ε2) [to be compared with 2ν=1+(12)(m+2)ε(m+8)+O (ε2) for the pure-exchange case]. For antiferromagnets, the pure-exchange exponents apply.
AB - Renormalization-group recursion formulas for magnets with dipolar interactions, derived in previous papers, are generalized to include the case of anisotropic exchange and dipolar forces. For a ferromagnet with a dominant m isotropy (the original spins having n=d=4-ε>m>1 components), the critical exponent ν is 2ν=1+(12)(m+2)2ε(m2+10m+12)+O (ε2) [to be compared with 2ν=1+(12)(m+2)ε(m+8)+O (ε2) for the pure-exchange case]. For antiferromagnets, the pure-exchange exponents apply.
UR - http://www.scopus.com/inward/record.url?scp=25544476884&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.8.3358
DO - 10.1103/PhysRevB.8.3358
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AN - SCOPUS:25544476884
SN - 0163-1829
VL - 8
SP - 3358
EP - 3362
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
IS - 7
ER -