Exact Ground States of Two-Dimensional J Ising Spin Glasses

HARTMANN : ARE GROUND STATES OF 3 d J SPIN GLASSES ULTRAMETRIC

{ Ground states of 3d EA Ising spin glasses are calculated for sizes up to 14 3 using a combination of a genetic algorithm and Cluster-Exact Approximation. Evidence for an ultrametric structure is found by studying triplets of independent ground states where one or two values of the three overlaps are xed.

Exact Ground States of Ising Spin Glasses New Experimental Results with a Branch and Cut Algorithm

In this paper we study 2-dimensional Ising spin glasses on a grid with nearest neighbor and periodic boundary interactions, based on a Gaussian bond distribution, and an exterior magnetic eld. We show how using a technique called branch and cut, the exact ground states of grids of sizes up to 100 100 can be determined in a moderate amount of computation time, and we report on extensive computat...

Interdisziplinn Ares Zentrum F Ur Wissenschaftliches Rechnen Universit at Heidelberg Exact Ground States of Ising Spin Glasses: New Experimental Results with a Branch and Cut Algorithm

In this paper we study 2-dimensional Ising spin glasses on a grid with nearest neighbor and periodic boundary interactions, based on a Gaussian bond distribution, and an exterior magnetic eld. We show how using a technique called branch and cut, the exact ground states of grids of sizes up to 100 100 can be determined in a moderate amount of computation time, and we report on extensive computat...

Ground-state clusters of two, three and four-dimensional ±J Ising spin glasses

Nature of ground state incongruence in two-dimensional spin glasses

We rigorously rule out the appearance of multiple domain walls between ground states in 2D Edwards-Anderson Ising spin glasses (with periodic boundary conditions and, e.g., Gaussian couplings). This supports the conjecture that there is only a single pair of ground states in these models.