Chiral Ordering in the Four-Dimensional XY Spin Glass

Details Chiral Ordering in the Four-Dimensional XY Spin Glass Chiral Ordering in the Four-Dimensional XY Spin Glass

1997-03-17

arxiv.org/abs/cond-mat/9703162v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

Rewritten as a regular paper with one additional figure; 5 figures available on request from S.Jain@derby.ac.uk; accepted for

Scientific paper

10.1007/s002570050521

The chiral glass behaviour of the nearest-neighbour random-bond XY spin glass in four dimensions is studied by Monte Carlo simulations. A chiral glass transition at $T_{cg}=0.90\pm 0.05$ is found by a finite-size scaling analysis of the results. The associated chiral correlation-length exponent is estimated to be $\nu_{cg}=0.6\pm 0.1$ and $\eta_{cg}\sim 0.25$. The values for the chiral critical temperature and the exponents are very similar to those reported recently for the spin glass transition in this model. The results strongly suggest a simultaneous ordering of spin and chirality in four dimensions.

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