TY - JOUR
T1 - Scaling in spin-glasses
AU - Fisher, Daniel S.
AU - Sompolinsky, H.
PY - 1985
Y1 - 1985
N2 - Many results of the mean-field theory of spin-glasses violate simple scaling laws, including the magnetic field dependence of the transition lines, crossover effects of random anisotropy, and critical behavior in the ordered phase. These violations arise from two dangerously irrelevant variables. Below eight dimensions some mean-field exponents change and at d=6 scaling is restored. Below d=6 all scaling laws should be valid implying that the critical properties of real spin-glasses should be simpler than in mean-field theory. Experimental consequences are discussed.
AB - Many results of the mean-field theory of spin-glasses violate simple scaling laws, including the magnetic field dependence of the transition lines, crossover effects of random anisotropy, and critical behavior in the ordered phase. These violations arise from two dangerously irrelevant variables. Below eight dimensions some mean-field exponents change and at d=6 scaling is restored. Below d=6 all scaling laws should be valid implying that the critical properties of real spin-glasses should be simpler than in mean-field theory. Experimental consequences are discussed.
UR - http://www.scopus.com/inward/record.url?scp=3542995583&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.54.1063
DO - 10.1103/PhysRevLett.54.1063
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AN - SCOPUS:3542995583
SN - 0031-9007
VL - 54
SP - 1063
EP - 1066
JO - Physical Review Letters
JF - Physical Review Letters
IS - 10
ER -