Palassini, Matteo, Liers, Frauke, Jünger, Michael and Young, A. Peter
(2003).
Low Energy Excitations in Spin Glasses from Exact Ground States.
Physical Review B, 68 (6).
064413.
American Physical Society.
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Abstract
We investigate the nature of the low-energy, large-scale excitations in the three-dimensional Edwards-Anderson Ising spin glass with Gaussian couplings and free boundary conditions, by studying the response of the ground state to a coupling-dependent perturbation introduced previously. The ground states are determined exactly for system sizes up to 12^3 spins using a branch and cut algorithm. The data are consistent with a picture where the surface of the excitations is not space-filling, such as the droplet or the ''TNT'' picture. When allowing for large finite size correctios, the data are also consistent with a picture with space-filling surface,such as replica symmetry breaking.We compare the results with data for periodic boundary conditions obtained with a genetic algorithm,and discuss the effects of different boundary conditions on finite-size correction. Finally, we analyze the performance of our branch and cut algorithm, finding that it is correlated with the existence of large-scale,low-energy excitations.
| Item Type: | Journal Article | ||||||||||||||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-548694 | ||||||||||||||||||||
| Journal or Publication Title: | Physical Review B | ||||||||||||||||||||
| Volume: | 68 | ||||||||||||||||||||
| Number: | 6 | ||||||||||||||||||||
| Page Range: | 064413 | ||||||||||||||||||||
| Date: | 2003 | ||||||||||||||||||||
| Publisher: | American Physical Society | ||||||||||||||||||||
| Language: | English | ||||||||||||||||||||
| Faculty: | Faculty of Mathematics and Natural Sciences | ||||||||||||||||||||
| Divisions: | Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Institute of Computer Science | ||||||||||||||||||||
| Subjects: | Data processing Computer science | ||||||||||||||||||||
| Refereed: | No | ||||||||||||||||||||
| URI: | http://kups.ub.uni-koeln.de/id/eprint/54869 |
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