54 citations · 411 across the 19 of their papers we have counts for
12 papers · 1 filter
Charge avalanches and depinning in the Coulomb glass: The role of long-range interactions
Juan Carlos Andresen, Yohanes Pramudya, Helmut G. Katzgraber +3
We explore the stability of far-from-equilibrium metastable states of a three-dimensional Coulomb glass at zero temperature by studying charge avalanches triggered by a slowly vary…
Numerically exact correlations and sampling in the two-dimensional Ising spin glass
Creighton K. Thomas, A. Alan Middleton
A powerful existing technique for evaluating statistical mechanical quantities in two-dimensional Ising models is based on constructing a matrix representing the nearest neighbor s…
Novel disordering mechanism in ferromagnetic systems with competing interactions
Juan Carlos Andresen, Creighton K. Thomas, Helmut G. Katzgraber +1
Ferromagnetic Ising systems with competing interactions are considered in the presence of a random field. We find that in three space dimensions the ferromagnetic phase is disorder…
Boolean decision problems with competing interactions on scale-free networks: Critical thermodynamics
Helmut G. Katzgraber, Katharina Janzen, Creighton K. Thomas
We study the critical behavior of Boolean variables on scale-free networks with competing interactions (Ising spin glasses). Our analytical results for the disorder-network-decay-e…
Sampling the ground-state magnetization of d-dimensional p-body Ising models
Creighton K. Thomas, Helmut G. Katzgraber
We demonstrate that a recently introduced heuristic optimization algorithm [Phys. Rev. E 83, 046709 (2011)] that combines a local search with triadic crossover genetic updates is c…
Simplest model to study reentrance in physical systems
Creighton K. Thomas, Helmut G. Katzgraber
We numerically investigate the necessary ingredients for reentrant behavior in the phase diagram of physical systems. Studies on the possibly simplest model that exhibits reentranc…
Zero and low temperature behavior of the two-dimensional Ising spin glass
Creighton K. Thomas, David A. Huse, A. Alan Middleton
Scaling arguments and precise simulations are used to study the square lattice Ising spin glass, a prototypical model for glassy systems. Droplet theory predicts, and our n…
Chaos and universality in two-dimensional Ising spin glasses
Creighton K. Thomas, David A. Huse, A. Alan Middleton
Recently extended precise numerical methods and droplet scaling arguments allow for a coherent picture of the glassy states of two-dimensional Ising spin glasses to be assembled. T…
Optimizing glassy p-spin models
Creighton K. Thomas, Helmut G. Katzgraber
Computing the ground state of Ising spin-glass models with p-spin interactions is, in general, an NP-hard problem. In this work we show that unlike in the case of the standard Isin…
Exact Algorithm for Sampling the 2D Ising Spin Glass
Creighton K. Thomas, A. Alan Middleton
A sampling algorithm is presented that generates spin glass configurations of the 2D Edwards-Anderson Ising spin glass at finite temperature, with probabilities proportional to the…
Persistence and Memory in Patchwork Dynamics for Glassy Models
Creighton K. Thomas, Olivia L. White, A. Alan Middleton
Slow dynamics in disordered materials prohibits direct simulation of their rich nonequilibrium behavior at large scales. "Patchwork dynamics" is introduced to mimic relaxation over…
Matching Kasteleyn Cities for Spin Glass Ground States
Creighton K. Thomas, A. Alan Middleton
As spin glass materials have extremely slow dynamics, devious numerical methods are needed to study low-temperature states. A simple and fast optimization version of the classical…