Phys. Rev. E 72, 036124 (2005) [4 pages]Defect energy of infinite-component vector spin glassesReceived 5 May 2005; published 26 September 2005 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 2⩽d⩽5. Fitting to ΔE∼Lθ, where L is the system size, we obtain: θ≃−1.54 (d=2), θ≃−1.04 (d=3), θ≃−0.67 (d=4), and θ≃−0.37 (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). © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.72.036124
DOI:
10.1103/PhysRevE.72.036124
PACS:
05.50.+q, 75.50.Lk, 75.40.Mg
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