51 citations · 108 across the 5 of their papers we have counts for
5 papers
Random Current Representation for Transverse Field Ising Models
Nicholas Crawford, Dmitry Ioffe
Recently, a random current representation for transverse field Ising models has been introduced in \cite{ILN}. This representation is a space-time version of the classical random c…
The Phase Diagram of the Quantum Curie-Weiss Model
Lincoln Chayes, Nicholas Crawford, Dmitry Ioffe +1
This paper studies a generalization of the Curie-Weiss model (the Ising model on a complete graph) to quantum mechanics. Using a natural probabilistic representation of this model,…
The Interaction Between Multi-Overlaps in the High Temperature Phase of the Sherrington-Kirkpatrick Spin Glass
Nicholas Crawford
We explore the joint behavior of a finite number of multi-overlaps in the high temperature phase of the SK model. Extending work by M. Talagrand, we show that, when these objects a…
Thermodynamics and Universality for Mean Field Quantum Spin Glasses
Nick Crawford
We study aspects of the thermodynamics of quantum versions of spin glasses. By means of the Lie-Trotter formula for exponential sums of operators, we adapt methods used to analyze…
Mean-field driven first-order phase transitions in systems with long-range interactions
Marek Biskup, Lincoln Chayes, Nicholas Crawford
We consider a class of spin systems on with vector valued spins $(\bS_x)$ that interact via the pair-potentials $J_{x,y} \bS_x\cdot\bS_y$. The interactions are generally spr…