Extension of the Pirogov-Sinai theory to a class of quasiperiodic interactions
type: Item
instance of: scholarly article
title: Extension of the Pirogov-Sinai theory to a class of quasiperiodic interactions
zbMATH Open document ID: 0668.58013
DOI: 10.1007/BF01466722
author: F. Koukiou
author: Dimitri Petritis
author: Miloš Zahradník
published in: Communications in Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: We extend the Pirogov-Sinai theory in such a manner that it applies to a large class of models with small quasiperiodic interactions as perturbations of periodic ones. We find general diophantine conditions on the frequency module of the quasiperiodic interactions and derivability conditions on the interaction potentials. These conditions allow to prove that the low temperature phase diagram is a homeomorphic deformation of the phase diagram at zero temperature.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 82B26
zbMATH DE Number: 4094426
zbMATH Keywords: low temperature phase diagram
zbMATH Keywords: Pirogov-Sinai theory
zbMATH Keywords: quasiperiodic interactions
zbMATH Keywords: diophantine conditions
MaRDI profile type: Publication
cites work: First order phase transitions in lattice and continuous systems: Extension of Pirogov-Sinai theory
cites work: Q4722619
cites work: An analysis of ANNNI model by Peierls' contour method
cites work: Q3750677
cites work: Low-temperature phase diagram for models with small quasiperiodic interactions
cites work: Many phases in systems without periodic ground states
cites work: Extension of Pirogov-Sinai theory of phase transitions to infinite range interactions. I: Cluster expansion
cites work: Almost periodic Schrödinger operators: A review
full work available at URL: https://doi.org/10.1007/bf01466722
OpenAlex ID: W1988397059
description: scientific article; zbMATH DE number 4094426