Spin glasses in the limit of an infinite number of spin components

Details Spin glasses in the limit of an infinite number of spin components Spin glasses in the limit of an infinite number of spin components

2004-08-03

arxiv.org/abs/cond-mat/0408073v1

Phys. Rev. E, 71, 036146 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 13 figures

Scientific paper

10.1103/PhysRevE.71.036146

We consider the spin glass model in which the number of spin components, m, is infinite. In the formulation of the problem appropriate for numerical calculations proposed by several authors, we show that the order parameter defined by the long-distance limit of the correlation functions is actually zero and there is only "quasi long range order" below the transition temperature. We also show that the spin glass transition temperature is zero in three dimensions.

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