Obtaining stiffness exponents from bond-diluted lattice spin glasses

S. Boettcher and S. E. Cooke
Phys. Rev. B 71, 214409 – Published 9 June 2005

Abstract

Recently, a method has been proposed to obtain accurate predictions for low-temperature properties of lattice spin glasses that is practical even above the upper critical dimension, dc=6. This method is based on the observation that bond-dilution enables the numerical treatment of larger lattices, and that the subsequent combination of such data at various bond densities into a finite-size scaling ansatz produces more robust scaling behavior. In the present study we test the potential of such a procedure, in particular, to obtain the stiffness exponent for the hierarchical Migdal-Kadanoff lattice. Critical exponents for this model are known with great accuracy and any simulations can be executed to very large lattice sizes at almost any bond density, effecting an insightful comparison that highlights the advantages—as well as the weaknesses—of this method. These insights are applied to the Edwards-Anderson model in d=3 with Gaussian bonds.

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  • Received 18 January 2005

DOI:https://doi.org/10.1103/PhysRevB.71.214409

©2005 American Physical Society

Authors & Affiliations

S. Boettcher and S. E. Cooke*

  • Physics Department, Emory University, Atlanta, Georgia 30322, USA

  • *Electronic address: www.physics.emory.edu/faculty/boettcher

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Issue

Vol. 71, Iss. 21 — 1 June 2005

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