Metastate analysis of the ground states of two-dimensional Ising spin glasses

被引:0
作者
Hartmann A.K. [1 ]
Young A.P. [2 ]
机构
[1] Institut für Physik, Universität Oldenburg, Oldenburg
[2] Department of Physics, University of California, Santa Cruz, 95064, CA
关键词
Compendex;
D O I
10.1103/PhysRevE.108.024142
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学科分类号
摘要
Using an efficient polynomial-time ground-state algorithm we investigate the Ising spin glass state at zero temperature in two dimensions. For large sizes, we show that the spin state in a central region is independent of the interactions far away, indicating a "single-state"picture, presumably the droplet model. Surprisingly, a single power law describes corrections to this result down to the smallest sizes studied. © 2023 American Physical Society.
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共 43 条
[1]  
Binder K., Young A. P., Spin glasses: Experimental facts, theoretical concepts and open questions, Rev. Mod. Phys, 58, (1986)
[2]  
Mezard M., Parisi G., Virasoro M. A., Spin Glass Theory and Beyond, (1987)
[3]  
Fischer K. H., Hertz J. A., Spin Glasses, (1991)
[4]  
Young A. P., Spin Glasses and Random Fields, (1998)
[5]  
Nishimori H., Statistical Physics of Spin Glasses and Information Processing: An Introduction, (2001)
[6]  
Hartmann A. K., Weigt M., Phase Transitions in Combinatorial Optimization Problems, (2005)
[7]  
Mezard M., Montanari A., Information, Physics and Computation, (2009)
[8]  
Moore C., Mertens S., The Nature of Computation, (2011)
[9]  
Kawashima N., Rieger H., Recent progress in spin glasses, Frustrated Spin Systems, pp. 509-614, (2013)
[10]  
Newman M. E. J., Barkema G. T., Monte Carlo Methods in Statistical Physics, (1999)