597 citations · 2.2k across the 55 of their papers we have counts for
5 papers · 1 filter
Order by disorder, without order, in a two-dimensional spin system with O(2) symmetry
Marek Biskup, Lincoln Chayes, Steven A. Kivelson
We present a rigorous proof of an ordering transition for a two-component two-dimensional antiferromagnet with nearest and next-nearest neighbor interactions. The low-temperature p…
Orbital ordering in transition-metal compounds: I. The 120-degree model
Marek Biskup, Lincoln Chayes, Zohar Nussinov
We study the classical version of the 120-degree model. This is an attractive nearest-neighbor system in three dimensions with XY (rotor) spins and interaction such that only a par…
On the scaling of the chemical distance in long-range percolation models
Marek Biskup
We consider the (unoriented) long-range percolation on Z^d in dimensions d\ge1, where distinct sites x,y\in Z^d get connected with probability p_{xy}\in[0,1]. Assuming p_{xy}=|x-y|…
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…
A proof of the Gibbs-Thomson formula in the droplet formation regime
Marek Biskup, Lincoln Chayes, Roman Kotecky
We study equilibrium droplets in two-phase systems at parameter values corresponding to phase coexistence. Specifically, we give a self-contained microscopic derivation of the Gibb…