A Scaling Relation for Dangerously Irrelevant Symmetry-Breaking Fields
  We propose a scaling relation for critical phenomena in which a symmetry-breaking field is dengerously irrelevant. We confirm its validity on the 6-state clock model in three and four dimensions by numerical simulation. In doing so, we point out the problem in the previously-used order parameter, and present an alternative evidence based on the mass-dependent fluctuation. 
Tsuyoshi Okubo, Kosei Oshikawa, Hiroshi Watanabe, Naoki Kawashima
cond-mat.stat-mech cond-mat.str-el