Liers, Frauke and Martin, Olivier C.
(2007).
Magnetic exponents of two-dimensional spin glasses.
Physical Review B, 76 (6).
060405.
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Abstract
The magnetic critical properties of two-dimensional spin glasses are controversial.Using exact ground state determination, we extract the properties of clusters flipped when increasing continuously a uniform field. We show that these clusters have many holes but otherwise have statistical properties similar to those of zero-field droplets. A detailed analysis gives for the magnetization exponent delta approx 1.30 pm 0.02 using lattice sizes up to 80 imes 80 ; this is compatible with the droplet model prediction delta = 1.282 . The reason for previous disagreements stems from the need to analyze both singular and analytic contributions in the low field regime.
| Item Type: | Journal Article | ||||||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-549103 | ||||||||||||
| Journal or Publication Title: | Physical Review B | ||||||||||||
| Volume: | 76 | ||||||||||||
| Number: | 6 | ||||||||||||
| Page Range: | 060405 | ||||||||||||
| Date: | 2007 | ||||||||||||
| 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/54910 |
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