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Phys. Rev. B 77, 214432 (2008) [9 pages]

Reduction of dilute Ising spin glasses

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Stefan Boettcher* and James Davidheiser
Physics Department, Emory University, Atlanta, Georgia 30322, USA

Received 19 March 2008; revised 24 May 2008; published 25 June 2008

The recently proposed reduction method for diluted spin glasses is investigated in depth. In particular, the Edwards-Anderson model with ±J and Gaussian bond disorder on hypercubic 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 called “dominant bond reduction” is introduced and explored.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.77.214432
DOI:
10.1103/PhysRevB.77.214432
PACS:
02.60.Pn, 05.50.+q, 75.10.Nr

*www.physics.emory.edu/faculty/boettcher/

www.physics.emory.edu/students/davidheiser/