Phase Transitions in the 1-d Long-Range Diluted Heisenberg Spin Glass

Details Phase Transitions in the 1-d Long-Range Diluted Heisenberg Spin Glass Phase Transitions in the 1-d Long-Range Diluted Heisenberg Spin Glass

2011-03-16

arxiv.org/abs/1103.3297v2

Phys. Rev. B, 83, 214405 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 14 figures. Replaced with published version

Scientific paper

We use Monte Carlo simulations to study the one-dimensional long-range diluted Heisenberg spin glass with interactions that fall as a power, sigma, of the distance. Varying the power is argued to be equivalent to varying the space dimension of a short-range model. We are therefore able to study both the mean-field and non-mean-field regimes. For one value of sigma, in the non-mean-field regime, we find evidence that the chiral glass transition temperature may be somewhat higher than the spin glass transition temperature. For the other values of sigma we see no evidence for this.

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