Defect energy of infinite-component vector spin glasses

Details Defect energy of infinite-component vector spin glasses Defect energy of infinite-component vector spin glasses

2005-05-05

arxiv.org/abs/cond-mat/0505138v1

Phys. Rev. E72, 036124 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.72.036124

We compute numerically the zero temperature defect energy, Delta E, 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 Delta E ~ L^theta, where L is the system size, we obtain: theta = -1.54 (d=2), theta = -1.04 (d=3), theta = -0.67 (d=4) and theta = -0.37 (d=5). These results show that the lower critical dimension, d_l (the dimension where theta changes sign), is significantly higher for m=infinity than for finite m (where 2 < d_l < 3).

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