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

Abstract

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.

10 pages, 14 figures. Replaced with published version

References in corpus (12)

• The critical behavior of three-dimensional Ising spin glass models
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• Diluted one-dimensional spin glasses with power law decaying interactions
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Cited by in corpus (16)

• Janus II: a new generation application-driven computer for spin-system simulations
• The correspondence between long-range and short-range spin glasses
• Instability of the mean-field states and generalization of phase separation in long-range interacting systems
• Domain-wall excitations in the two-dimensional Ising spin glass
• Quantum criticality in spin chains with non-ohmic dissipation
• One-dimensional infinite component vector spin glass with long-range interactions
• Study of the de Almeida-Thouless line using one-dimensional power-law diluted Heisenberg Spin Glasses
• Monte Carlo studies of the spin-chirality decoupling in the three-dimensional Heisenberg spin glass
• The metastable minima of the Heisenberg spin glass in a random magnetic field
• Monte Carlo simulations of the three-dimensional XY spin glass focusing on the chiral and the spin order
• Study of the de Almeida-Thouless (AT) line in the one-dimensional diluted power-law XY spin glass
• Avalanches and hysteresis in frustrated superconductors and XY-spin-glasses
• Evidence that the AT transition disappears below six dimensions
• Ordering of the Heisenberg spin glass in four dimensions
• Nematic Ordering in the Heisenberg Spin-Glass System in d=3 Dimensions
• Nature of spin glass order in physical dimensions