Study of the de Almeida-Thouless line using one-dimensional power-law diluted Heisenberg Spin Glasses

Abstract

We test for the presence or absence of the de Almeida-Thouless line using one-dimensional power-law diluted Heisenberg spin glass model, in which the rms strength of the interactions decays with distance, r as 1/r^{sigma}. It is argued that varying the power sigma is analogous to varying the space dimension d in a short-range model. For sigma=0.6, which is in the mean field regime regime, we find clear evidence for an AT line. For sigma = 0.85, which is in the non-mean-field regime and corresponds to a space dimension of close to 3, we find no AT line, though we cannot rule one out for very small fields. Finally for sigma=0.75, which is in the non-mean-field regime but closer to the mean-field boundary, the evidence suggests that there is an AT line, though the possibility that even larger sizes are needed to see the asymptotic behavior can not be ruled out.

7 pages. 10 figures. Replaced with the published version

References in corpus (6)

• Absence of an Almeida-Thouless line in Three-Dimensional Spin Glasses
• The critical behavior of three-dimensional Ising spin glass models
• Study of the de Almeida-Thouless line using power-law diluted one-dimensional Ising spin glasses
• Diluted one-dimensional spin glasses with power law decaying interactions
• Phase Transitions in the 1-d Long-Range Diluted Heisenberg Spin Glass
• Almeida-Thouless transition below six dimensions

Cited by in corpus (14)

• A spin glass perspective on ferroic glasses
• Typical versus averaged overlap distribution in Spin-Glasses : Evidence for the droplet scaling theory
• PMN: a minimal induced-moment soft pseudo-spin glass perspective
• Sample-to-sample fluctuations of the overlap distributions in the three-dimensional Edwards-Anderson spin glass
• One-dimensional infinite component vector spin glass with long-range interactions
• The metastable minima of the Heisenberg spin glass in a random magnetic field
• Scaling of the largest dynamical barrier in the one-dimensional long-range Ising spin-glass
• Study of the de Almeida-Thouless (AT) line in the one-dimensional diluted power-law XY spin glass
• Chaos properties of the one-dimensional long-range Ising spin-glass
• Avalanches and hysteresis in frustrated superconductors and XY-spin-glasses
• Evidence that the AT transition disappears below six dimensions
• Relaxors, spin-, Stoner- and cluster-glasses
• Universal scaling in real dimension
• Massively parallel simulations for disordered systems