Critical Exponents Can Be Different on the Two Sides of a Transition: A Generic Mechanism
Abstract
We present models where γ_{+} and γ_{}, the exponents of the susceptibility in the high and lowtemperature phases, are generically different. In these models, continuous symmetries are explicitly broken down by discrete anisotropies that are irrelevant in the renormalizationgroup sense. The Z_{q}invariant models are the simplest examples for twocomponent order parameters (N =2 ) and the model with icosahedral symmetry for N =3 . We accurately compute γ_{+}γ_{} as well as the ratio ν /ν^{'} of the exponents of the two correlation lengths present for T <T_{c}.
 Publication:

Physical Review Letters
 Pub Date:
 November 2015
 DOI:
 10.1103/PhysRevLett.115.200601
 arXiv:
 arXiv:1508.07852
 Bibcode:
 2015PhRvL.115t0601L
 Keywords:

 05.70.Jk;
 05.10.Cc;
 11.10.Hi;
 Critical point phenomena;
 Renormalization group methods;
 Renormalization group evolution of parameters;
 Condensed Matter  Statistical Mechanics
 EPrint:
 Phys. Rev. Lett. 115, 200601 (2015)