Cavagna Andrea, Giardina Irene, Parisi Giorgio
Dipartimento di Fisica, Università di Roma La Sapienza and Center for Statistical Mechanics and Complexity, INFM Roma 1, Piazzale Aldo Moro 2, 00185 Roma, Italy.
Phys Rev Lett. 2004 Mar 26;92(12):120603. doi: 10.1103/PhysRevLett.92.120603.
We study numerically the structure of metastable states in the Sherrington-Kirkpatrick spin glass. We find that all nonparamagnetic stationary points of the free energy are organized into pairs, consisting of a minimum and an order 1 saddle, which coalesce in the thermodynamic limit. Within the annealed approximation, the entropic contribution of these states, that is the complexity, is compatible with the supersymmetry-breaking calculation performed by Bray and Moore [J. Phys. C 13, L469 (1980)]]. This result indicates that the supersymmetry is spontaneously broken in the Sherrington-Kirkpatrick model.
我们对谢林顿 - 柯克帕特里克自旋玻璃中亚稳态的结构进行了数值研究。我们发现自由能的所有非顺磁驻点都成对组织，由一个最小值和一个一阶鞍点组成，它们在热力学极限下合并。在退火近似内，这些状态的熵贡献，即复杂度，与布雷和摩尔[《物理学报C》13，L469（1980）]进行的超对称破缺计算兼容。这一结果表明在谢林顿 - 柯克帕特里克模型中超对称是自发破缺的。
