An exact algorithm for spin correlation functions of the two dimensional +/-J Ising spin glass in the ground state

Abstract

We introduce an exact algorithm for the computation of spin correlation functions for the two dimensional +/-J Ising spin glass in the ground state. Unlike with the transfer matrix method, there is no particular restriction on the shape of the lattice sample, and unlike Monte Carlo based methods it avoids extrapolation from finite temperatures. The computational requirements depend only on the number and distribution of frustrated plaquettes.

arXiv commentLatex file with 5 figures (postscipt). Submitted to PRB

References in corpus (13)

• A Cluster Monte Carlo Algorithm for 2-Dimensional Spin Glasses
• The two-dimensional random-bond Ising model, free fermions and the network model
• Lower Critical Dimension of Ising Spin Glasses
• Nishimori point in the 2D +/- J random-bond Ising model
• Finite Size Scaling Analysis of Exact Ground States for +/-J Spin Glass Models in Two Dimensions
• Duality and Multicritical Point of Two-Dimensional Spin Glasses
• Universality, frustration and conformal invariance in two-dimensional random Ising magnets
• Domain-Wall Energies and Magnetization of the Two-Dimensional Random-Bond Ising Model
• Correlation length of the two-dimensional Ising spin glass with bimodal interactions
• Critical thermodynamics of the two-dimensional +/-J Ising spin glass
• Energy size effects of two-dimensional Ising spin glasses
• Correlation--function distributions at the Nishimori point of two-dimensional Ising spin glasses
• A New Method to Calculate the Spin-Glass Order Parameter of the Two-Dimensional +/-J Ising Model

Cited by in corpus (14)

• Chaos and universality in two-dimensional Ising spin glasses
• Zero and low temperature behavior of the two-dimensional $\pm J$ Ising spin glass
• Effective critical behavior of the two-dimensional Ising spin glass with bimodal interactions
• Dual time scales in simulated annealing of a two-dimensional Ising spin glass
• Numerically exact correlations and sampling in the two-dimensional Ising spin glass
• Finite-Size Scaling of the Domain Wall Entropy Distributions for the 2D $\pm J$ Ising Spin Glass
• The bimodal and Gaussian Ising Spin Glasses in dimension two revisited
• Energy gap of the bimodal two-dimensional Ising spin glass
• Sampling the ground-state magnetization of d-dimensional p-body Ising models
• Domain wall entropy of the bimodal two-dimensional Ising spin glass
• Aspect-Ratio Scaling of Domain Wall Entropy for the 2D $\pm J$ Ising Spin Glass
• The bimodal Ising spin glass in dimension two : the anomalous dimension $\eta$
• Excitations of the bimodal Ising spin glass on the brickwork lattice
• Ising spin glasses in dimension two; universality and non-universality