Ferromagnetic to paramagnetic transition in spherical spin glass

DOI10.1007/s10955-018-2150-6zbMath1404.82029arXiv1805.05630OpenAlexW2804922722MaRDI QIDQ1756789

Xianqiang Yang

Publication date: 21 December 2018

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.05630

zbMATH Keywords

free energyphase transitionspherical SK modelspiked random matrices

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items (14)

Free energy fluctuations of the two-spin spherical SK model at critical temperature ⋮ Fluctuations of the overlap at low temperature in the 2-spin spherical SK model ⋮ Local law and Tracy-Widom limit for sparse stochastic block models ⋮ Ultrametricity in spin glasses ⋮ Infinite volume Gibbs states and metastates of the random field mean-field spherical model ⋮ Mean field spin Glass models under weak external field ⋮ A CLT for the LSS of large-dimensional sample covariance matrices with diverging spikes ⋮ Central limit theorem near the critical temperature for the overlap in the 2-spin spherical SK model ⋮ Spherical spin glass model with external field ⋮ Finite size effects and loss of self-averageness in the relaxational dynamics of the spherical Sherrington–Kirkpatrick model ⋮ Fluctuation of the free energy of Sherrington-Kirkpatrick model with Curie-Weiss interaction: the paramagnetic regime ⋮ Overlaps of a spherical spin glass model with microscopic external field ⋮ Asymptotic independence of spiked eigenvalues and linear spectral statistics for large sample covariance matrices ⋮ Spherical Sherrington-Kirkpatrick model for deformed Wigner matrix with fast decaying edges

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