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arXiv · 0802.1941

Reduction of Dilute Ising Spin Glasses

S. Boettcher·J. Davidheiser
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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.

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S. Boettcher, J. Davidheiser. 2008-06-29. Reduction of Dilute Ising Spin Glasses. https://doi.org/10.1103/physrevb.77.214432

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