51 citations · 108 across the 5 of their papers we have counts for
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math-ph2008★ 4 cited
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…
math-ph2006★ 26 cited
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…
math-ph2005★ 51 cited
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…