Reduction of Dilute Ising Spin Glasses

Details Reduction of Dilute Ising Spin Glasses Reduction of Dilute Ising Spin Glasses

2008-02-13

arxiv.org/abs/0802.1941v3

Phys. Rev. B 77, 214432 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, revtex, final version, find related material at http://www.physics.emory.edu/faculty/boettcher/

Scientific paper

10.1103/PhysRevB.77.214432

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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