87 citations · 474 across the 19 of their papers we have counts for
9 papers · 1 filter
Nonlinear elastic free energies and gradient Young-Gibbs measures
Roman Kotecký, Stephan Luckhaus
We investigate, in a fairly general setting, the limit of large volume equilibrium Gibbs measures for elasticity type Hamiltonians with clamped boundary conditions. The existence o…
Entropy-driven phase transition in low-temperature antiferromagnetic Potts models
Roman Kotecký, Alan D. Sokal, Jan M. Swart
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 pl…
True nature of long-range order in a plaquette orbital model
Marek Biskup, Roman Kotecky
We analyze the classical version of a plaquette orbital model that was recently introduced and studied numerically by S. Wenzel and W. Janke. In this model, edges of the square lat…
Reflection positivity and phase transitions in lattice spin models
Marek Biskup
Reflection positivity (RP) is a property of Gibbs measures exhibited by a class of lattice spin systems that include the Ising, Potts and Heisenberg models. The RP property is usef…
Forbidden gap argument for phase transitions proved by means of chessboard estimates
Marek Biskup, Roman Kotecky
Chessboard estimates are one of the standard tools for proving phase coexistence in spin systems of physical interest. In this note we show that the method not only produces a poin…
Partition function zeros at first-order phase transitions: Pirogov-Sinai theory
Marek Biskup, Christian Borgs, Jennifer T. Chayes +1
This paper is a continuation of our previous analysis [BBCKK] of partition functions zeros in models with first-order phase transitions and periodic boundary conditions. Here it is…