Ultrametricity in the Edwards-Anderson model

被引:31
作者
Contucci, Pierluigi [1 ]
Giardina, Cristian
Giberti, Claudio
Parisi, Giorgio
Vernia, Cecilia
机构
[1] Univ Bologna, Piazza Porta S Donato 5, I-40127 Bologna, Italy
[2] Eurandom, NL-5600 MB Eindhoven, Netherlands
[3] Univ Modena, Reggio Emilia, I-42100 Reggio Emilia, Italy
[4] Univ Roma La Sapienza, Rome, Italy
[5] Univ Modena, Reggio Emilia, I-41100 Modena, Italy
关键词
D O I
10.1103/PhysRevLett.99.057206
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We test the property of ultrametricity for the spin-glass three-dimensional Edwards-Anderson model in zero magnetic field with numerical simulations up to 20(3) spins. We find an excellent agreement with the prediction of the mean field theory. Since ultrametricity is not compatible with a trivial structure of the overlap distribution, our result contradicts the droplet theory.
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页数:4
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