The Four-Dimensional XY Spin Glass

Details The Four-Dimensional XY Spin Glass The Four-Dimensional XY Spin Glass

1996-03-29

arxiv.org/abs/cond-mat/9603190v1

Physics

Condensed Matter

13 pages, TeX; 4 figures available on request from S.Jain@derby.ac.uk

Scientific paper

The nearest-neighbour XY spin glass on a hypercubic lattice in four dimensions is studied by Monte Carlo simulations. A finite- size scaling analysis of the data leads to a finite temperature spin glass transition at $T_c=0.95\pm 0.15$. The critical exponents are estimated to be $\nu_{sg}=0.70\pm 0.10$ and \eta_{sg}=-0.28\pm 0.38$. The results imply that the lower critical dimensionality for the XY spin glass is less than four.

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