54 citations · 189 across the 7 of their papers we have counts for
7 papers
Low-temperature transition of 2d random-bond Ising model and quantum infinite randomness
Akshat Pandey, Aditya Mahadevan, A. Alan Middleton +1
At low temperatures, the classical two-dimensional random bond Ising model undergoes a frustration-driven ferromagnet-to-paramagnet transition controlled by a zero-temperature fixe…
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…
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…
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…
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…