2018/05/03 by F. De Santis, Giorgio Parisi, De Santis, Francesco +1
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Random Matrices and Applications #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1805.01228
openalex publication_date 2018/05/03 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28
Bethe Lattice Spin Glasses (BLSG) are models with finite connectivity which\nundergo a Replica Symmetry Breaking (RSB) phase transition in field, even at\nzero temperature. The order parameter describing this phase is a function\nrelated to the non-trivial organization of the states. We compute numerically\nthe spin glass order parameter at zero temperature in BLSG with coordination\nnumber z=3 and couplings J=\±1, near the transition. The method is based\non a universal formula which relates the order parameter to the joint\nprobability distribution of the energy gaps of the lowest lying states. Such\ndistribution is derived numerically by introducing a convenient bulk\nperturbation to the Hamiltonian.\n