87 citations · 474 across the 19 of their papers we have counts for
6 papers · 1 filter
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…
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.
Phase transition in the 3-state Potts antiferromagnet on the diced lattice
Roman Kotecky, Jesus Salas, Alan D. Sokal
We prove that the 3-state Potts antiferromagnet on the diced lattice (dual of the kagome lattice) has entropically-driven long-range order at low temperatures (including zero). We…
Comment on: "Theory of the evaporation/condensation transition of equilibrium droplets in finite volumes"
Marek Biskup, Lincoln Chayes, Roman Kotecky
We examine some aspects of the recent results by K. Binder. The equilibrium formation/dissolution of droplets in finite systems is discussed in the context of the canonical and the…
Effective interactions due to quantum fluctuations
R. Kotecky, D. Ueltschi
Quantum lattice systems are rigorously studied at low temperatures. When the Hamiltonian of the system consists of a potential (diagonal) term and a - small - off-diagonal matrix c…