The Four-Dimensional XY Spin Glass

S. Jain

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The Four-Dimensional XY Spin Glass

S. Jain

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Abstract

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 $ν_{sg}=0.70\pm 0.10$ and η_{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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S. Jain. 1996-03-29. The Four-Dimensional XY Spin Glass. https://arxiv.org/abs/cond-mat/9603190

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