Decimations for One- and Two-dimensional Ising and Rotator Models II: Continuous versus Discrete Symmetries
Mathematical Physics
2022-12-21 v2 math.MP
Probability
Abstract
We show how decimated Gibbs measures which have an unbroken continuous symmetry due to the Mermin-Wagner theorem, although their discrete equivalents have a phase transition, still can become non-Gibbsian. The mechanism rests on the occurrence of a spin-flop transition with a broken discrete symmetry, once the model is constrained by the decimated spins in a suitably chosen "bad" configuration.
Keywords
Cite
@article{arxiv.2206.06990,
title = {Decimations for One- and Two-dimensional Ising and Rotator Models II: Continuous versus Discrete Symmetries},
author = {Matteo D'Achille and Arnaud Le Ny and Aernout C. D. van Enter},
journal= {arXiv preprint arXiv:2206.06990},
year = {2022}
}
Comments
16 pages, 1 figure (updated)