Decimations for one- and two-dimensional Ising and rotator models. II. Continuous vs discrete symmetries

Matteo D'Achille, Aernout C.D. Van Enter, Arnaud Le Ny

Research output: Contribution to journalArticleAcademicpeer-review

74 Downloads (Pure)

Abstract

We show how decimated Gibbs measures having unbroken continuous symmetry due to the Mermin-Wagner theorem, despite their discrete equivalents exhibiting phase transition, can still 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.

Original languageEnglish
Article number123506
Number of pages14
JournalJournal of Mathematical Physics
Volume63
Issue number12
DOIs
Publication statusPublished - Dec-2022

Fingerprint

Dive into the research topics of 'Decimations for one- and two-dimensional Ising and rotator models. II. Continuous vs discrete symmetries'. Together they form a unique fingerprint.

Cite this