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math-ph2010
Absence of magnetism in continuous-spin systems with long-range antialigning forces
Marek Biskup, Nicholas Crawford
We consider continuous-spin models on the -dimensional hypercubic lattice with the spins \emph{a priori} uniformly distributed over the unit sphere in (with …
math-ph2010★ 19 cited
On Random Field Induced Ordering in the Classical XY Model
Nicholas Crawford
Consider the classical XY model in a weak random external field pointing along the axis with strength . We study the behavior of this model as the range of the interaction i…