Entropy-driven phase transition in low-temperature antiferromagnetic Potts models

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F14%3A00429507" target="_blank" >RIV/67985556:_____/14:00429507 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11620/14:10285693
Result on the web
<a href="http://dx.doi.org/10.1007/s00220-014-2005-1" target="_blank" >http://dx.doi.org/10.1007/s00220-014-2005-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00220-014-2005-1" target="_blank" >10.1007/s00220-014-2005-1</a>

Result language
angličtina
Original language name
Entropy-driven phase transition in low-temperature antiferromagnetic Potts models
Original language description
We prove the existence of long-range order at sufficiently low temperatures, including zero temperature, for the three-state Potts antiferromagnet on a class of quasi-transitive plane quadrangulations, including the diced lattice. More precisely, we showthe existence of (at least) three infinite-volume Gibbs measures, which exhibit spontaneous magnetization in the sense that vertices in one sublattice have a higher probability to be in one state than in either of the other two states. For the special case of the diced lattice, we give a good rigorous lower bound on this probability, based on computer-assisted calculations that are not available for the other lattices.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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