87 citations · 474 across the 19 of their papers we have counts for
20 papers
Staggered long-range order for diluted quantum spin models
Roman Kotecký, Benjamin Lees
We study an annealed site diluted quantum XY model with spin . We find regions of the parameter space where, in spite of being a priori favourable for a…
Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q
Yuan Huang, Kun Chen, Youjin Deng +5
We exhibit infinite families of two-dimensional lattices (some of which are triangulations or quadrangulations of the plane) on which the q-state Potts antiferromagnet has a finite…
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…
A roughening transition indicated by the behaviour of ground states
Salvador Miracle-Sole
We present some illustrations for the claim that already by looking at the ground states of classical lattice models, one may meet some interesting and non-trivial structures.
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…