2 papers
cond-mat.stat-mech2008
A Percolation-Theoretic Approach to Spin Glass Phase Transitions
J. Machta, C. M. Newman, D. L. Stein
The magnetically ordered, low temperature phase of Ising ferro- magnets is manifested within the associated Fortuin-Kasteleyn (FK) random cluster representation by the occurrence o…
cond-mat.dis-nn2001
The State(s) of Replica Symmetry Breaking: Mean Field Theories vs. Short-Ranged Spin Glasses
C. M. Newman, D. L. Stein
We prove the impossibility of recent attempts to decouple the Replica Symmetry Breaking (RSB) picture for finite-dimensional spin glasses from the existence of many thermodynamic (…