Evidence for a trivial ground-state structure in the two-dimensional Ising spin glass
Physical Review B - Condensed Matter and Materials Physics, ISSN: 1550-235X, Vol: 60, Issue: 14, Page: R9919-R9922
1999
- 44Citations
- 17Captures
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Article Description
We study how the ground state of the two-dimensional Ising spin glass with Gaussian interactions in zero magnetic field changes on altering the boundary conditions. The probability that relative spin orientations change in a region far from the boundary goes to zero with the (linear) size of the system L like L, where λ=-0.70 ± 0.08. We argue that λ is equal to d-dwhere d(=2) is the dimension of the system and dis the fractal dimension of a domain wall induced by changes in the boundary conditions. Our value for dis consistent with earlier estimates. These results show that, at zero temperature, there is only a single pure state (plus the state with all spins flipped) in agreement with the predictions of the droplet model. © 1999 The American Physical Society.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0001693933&origin=inward; http://dx.doi.org/10.1103/physrevb.60.r9919; https://link.aps.org/doi/10.1103/PhysRevB.60.R9919; http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevB.60.R9919/fulltext; http://link.aps.org/article/10.1103/PhysRevB.60.R9919
American Physical Society (APS)
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