207 citations · 582 across the 40 of their papers we have counts for
4 papers · 2 filters
Quantum spin systems at positive temperature
Marek Biskup, Lincoln Chayes, Shannon Starr
We develop a novel approach to phase transitions in quantum spin models based on a relation to their classical counterparts. Explicitly, we show that whenever chessboard estimates…
Droplet Excitations for the Spin-1/2 XXZ Chain with Kink Boundary Conditions
Bruno Nachtergaele, Wolfgang Spitzer, Shannon Starr
We give a precise definition for excitations consisting of a droplet of size n in the XXZ chain with various choices of boundary conditions, including kink boundary conditions and…
The Extended Variational Principle for Mean-Field, Classical Spin Systems
Eugene Kritchevski, Shannon Starr
The purpose of this article is to obtain a better understanding of the extended variational principle (EVP). The EVP is a formula for the thermodynamic pressure of a statistical me…
Ordering of Energy Levels in Heisenberg Models and Applications
Bruno Nachtergaele, Shannon Starr
In a recent paper we conjectured that for ferromagnetic Heisenberg models the smallest eigenvalues in the invariant subspaces of fixed total spin are monotone decreasing as a funct…