Reduction of Dilute Ising Spin Glasses

TL;DR

This paper investigates a reduction method for diluted Ising spin glasses, demonstrating its effectiveness in understanding low-temperature properties and introducing a new heuristic called 'Dominant Bond Reduction' to improve reduction techniques.

Contribution

The paper provides a detailed analysis of the reduction method for diluted spin glasses and introduces a novel greedy heuristic to enhance reduction strategies.

Findings

Bond dilution helps clarify low-temperature properties.

The reduction method is effective across various dimensions.

The 'Dominant Bond Reduction' heuristic improves reduction efficiency.

Abstract

The recently proposed reduction method for diluted spin glasses is investigated in depth. In particular, the Edwards-Anderson model with \pm J and Gaussian bond disorder on hyper-cubic lattices in d=2, 3, and 4 is studied for a range of bond dilutions. The results demonstrate the effectiveness of using bond dilution to elucidate low-temperature properties of Ising spin glasses, and provide a starting point to enhance the methods used in reduction. Based on that, a greedy heuristic call ``Dominant Bond Reduction'' is introduced and explored.