A Scaling Relation for Dangerously Irrelevant Symmetry-Breaking Fields

Abstract

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.

5 pages, 5 figures

References in corpus (3)

• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• The critical exponents of the superfluid transition in He4
• Ground States of the SU(N) Heisenberg Model

Cited by in corpus (2)

• Weak ferromagnetic order breaking the threefold rotational symmetry of the underlying kagomé lattice in CdCu${}_3$(OH)${}_6$(NO${}_3$)${}_2\cdot$H${}_2$O
• Kernel method for corrections to scaling