160 citations · 930 across the 64 of their papers we have counts for
14 papers · 1 filter
Signed FK percolation in Ising spin glasses
Alberto Gandolfi, Charles Newman, Danile Stein
We introduce signed Fortuin-Kasteleyn (FK) percolation for the +/-J random-interaction Ising model to characterize nonzero uniform magnetization density and two-replica overlap wit…
Proof of single-replica equivalence in short-range spin glasses
C. M. Newman, N. Read, D. L. Stein
We consider short-range Ising spin glasses in equilibrium at infinite system size, and prove that, for fixed bond realization and a given Gibbs state drawn from a suitable metastat…
Metastates and Replica Symmetry Breaking
C. M. Newman, N. Read, D. L. Stein
In this review we define and discuss metastates, mathematical tools with general applicability to thermodynamic systems which are particularly useful when working with disordered o…
Ground State Stability and the Nature of the Spin Glass Phase
C. M. Newman, D. L. Stein
We propose an approach toward understanding the spin glass phase at zero and low temperature by studying the stability of a spin glass ground state against perturbations of a singl…
Local minima in disordered mean-field ferromagnets
Eric Yilun Song, Reza Gheissari, Charles M. Newman +1
We consider the complexity of random ferromagnetic landscapes on the hypercube given by Ising models on the complete graph with i.i.d. non-negative edge-weights. This…
Percolation in the Sherrington-Kirkpatrick Spin Glass
J. Machta, C. M. Newman, D. L. Stein
We present extended versions and give detailed proofs of results concerning percolation (using various sets of two-replica bond occupation variables) in Sherrington-Kirkpatrick spi…
The Effect of Pure State Structure on Nonequilibrium Dynamics
C. M. Newman, D. L. Stein
Motivated by short-range Ising spin glasses, we review some rigorous results and their consequences for the relation between the number/nature of equilibrium pure states and nonequ…
Local vs. Global Variables for Spin Glasses
C. M. Newman, D. L. Stein
We discuss a framework for understanding why spin glasses differ so remarkably from homogeneous systems like ferromagnets, in the context of the sharply divergent low temperature b…
Short-Range Spin Glasses: Results and Speculations
C. M. Newman, D. L. Stein
This paper is divided into two parts. The first part concerns several standard scenarios for how short-range spin glasses might behave at low temperature. Earlier theorems of the a…
Short-Range Spin Glasses: The Metastate Approach
C. M. Newman, D. L. Stein
We discuss the metastate, a probability measure on thermodynamic states, and its usefulness in addressing difficult questions pertaining to the statistical mechanics of systems wit…
Ordering and Broken Symmetry in Short-Ranged Spin Glasses
C. M. Newman, D. L. Stein
In this topical review we discuss the nature of the low-temperature phase in both infinite-ranged and short-ranged spin glasses. We analyze the meaning of pure states in spin glass…
Nonrealistic Behavior of Mean Field Spin Glasses
C. M. Newman, D. L. Stein
We study chaotic size dependence of the low temperature correlations in the SK spin glass. We prove that as temperature scales to zero with volume, for any typical coupling realiza…
Comment on "Nature of the Spin Glass State"
C. M. Newman, D. L. Stein
We show that the interface excitations of Palassini-Young and Krzakala-Martin cannot yield new thermodynamic states.
Equilibrium Pure States and Nonequilibrium Chaos
C. M. Newman, D. L. Stein
We consider nonequilibrium systems such as the Edwards-Anderson Ising spin glass at a temperature where, in equilibrium, there are presumed to be (two or many) broken symmetry pure…