Publication:
Duality and the universality class of the three-state Potts antiferromagnet on plane quadrangulations.

Thumbnail Image
Identifiers
URI: https://hdl.handle.net/10016/31784
ISSN: 2470-0045
ISSN: 2470-0053 (online)
ISSN: https://doi.org/10.1103/PhysRevE.97.040104
UXXI: AR/0000021451
Files
duality_PRE_2018.pdf (534.8 KB)
Publication date
2018-04-25
Defense date
Authors
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society (APS)
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
We provide a criterion based on graph duality to predict whether the three-state Potts antiferromagnet on a plane quadrangulation has a zero-or finite-temperature critical point, and its universality class. The former case occurs for quadrangulations of self-dual type, and the zero-temperature critical point has central charge c = 1. The latter case occurs for quadrangulations of non-self-dual type, and the critical point belongs to the universality class of the three-state Potts ferromagnet. We have tested this criterion against high-precision computations on four lattices of each type, with very good agreement. We have also found that the Wang-Swendsen-Kotecky algorithm has no critical slowing-down in the former case, and critical slowing-down in the latter.
Description
Keywords
Bibliographic citation
Physical review E, 97(4), 040104(R), 5 pp.
Collections
DM - MSNMI - Artículos de Revistas