Defect energy of infinite-component vector spin glasses

L. W. Lee and A. P. Young
Phys. Rev. E 72, 036124 – Published 26 September 2005

Abstract

We compute numerically the zero-temperature defect energy ΔE of the vector spin glass in the limit of an infinite number of spin components m, for a range of dimensions 2d5. Fitting to ΔELθ, where L is the system size, we obtain: θ1.54(d=2), θ1.04(d=3), θ0.67(d=4), and θ0.37(d=5). These results show that the lower critical dimension dl (the dimension where θ changes sign) is significantly higher for m= than for finite m (where 2<dl<3).

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  • Received 5 May 2005

DOI:https://doi.org/10.1103/PhysRevE.72.036124

©2005 American Physical Society

Authors & Affiliations

L. W. Lee and A. P. Young*

  • Department of Physics, University of California, Santa Cruz, California 95064, USA

  • *URL: http://bartok.ucsc.edu/peter; electronic address: peter@bartok.ucsc.edu

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Issue

Vol. 72, Iss. 3 — September 2005

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