Ordering of the Heisenberg Spin Glass in High Dimensions

Details Ordering of the Heisenberg Spin Glass in High Dimensions Ordering of the Heisenberg Spin Glass in High Dimensions

2002-11-15

arxiv.org/abs/cond-mat/0211323v3

Phys. Rev. B 67 224412 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

18 pages, 12 figures

Scientific paper

10.1103/PhysRevB.67.224412

Ordering of the Heisenberg spin glass with the nearest-neighbor Gaussian coupling is investigated by equilibrium Monte Carlo simulations in four and five dimensions. Ordering of the mean-field Heisenberg spin-glass is also studied for comparison. Particular attention is paid to the nature of the spin-glass and the chiral-glass orderings. Our numerical data suggest that, in five dimensions, the model exhibits a single spin-glass transition at a finite temperature, where the spin-glass order accompanying the simultaneous chiral-glass order sets in. In four dimensions, by contrast, the model exhibits a chiral-glass transition at a finite temperature, not accompanying the standard spin-glass order. The critical region associated with the chiral-glass transition, however, is very narrow, suggesting that dimension four is close to the marginal dimensionality.

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