TY - JOUR
T1 - University in analytic corrections to scaling for planar Ising models
AU - Aharony, Amnon
AU - Fisher, Michael E.
PY - 1980
Y1 - 1980
N2 - It is argued that the leading corrections to scaling for planar Ising models, which occur as analytic factors, arise from the quadratic terms of the nonlinear thermal and ordering fields (rather than from irrelevant variables). This yields eff+2eff+eff=2 for the effective critical exponents, with no leading corrections, and is confirmed by exact square-lattice results for arbitrary anisotropy J2J1. For isotropic lattices the ratios of correction amplitudes and quadratic nonlinear-field terms appear universal.
AB - It is argued that the leading corrections to scaling for planar Ising models, which occur as analytic factors, arise from the quadratic terms of the nonlinear thermal and ordering fields (rather than from irrelevant variables). This yields eff+2eff+eff=2 for the effective critical exponents, with no leading corrections, and is confirmed by exact square-lattice results for arbitrary anisotropy J2J1. For isotropic lattices the ratios of correction amplitudes and quadratic nonlinear-field terms appear universal.
UR - http://www.scopus.com/inward/record.url?scp=0000412060&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.45.679
DO - 10.1103/PhysRevLett.45.679
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AN - SCOPUS:0000412060
SN - 0031-9007
VL - 45
SP - 679
EP - 682
JO - Physical Review Letters
JF - Physical Review Letters
IS - 9
ER -