The free energy of a quantum Sherrington-Kirkpatrick spin-glass model for weak disorder

DOI10.1007/s10955-020-02689-8zbMath1462.82078arXiv1912.06633OpenAlexW3135354659MaRDI QIDQ2659829

Hajo Leschke, Rainer Ruder, Sebastian Rothlauf, Wolfgang L. Spitzer

Publication date: 29 March 2021

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

Full work available at URL: https://arxiv.org/abs/1912.06633

zbMATH Keywords

Feynman-Kac formulaannealed free energyquantum spin-glass modelVaradhan large-deviation principle

Mathematics Subject Classification ID

Gaussian processes (60G15) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) 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) Large deviations (60F10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (5)

Generalized random energy models in a transversal magnetic field: free energy and phase diagrams ⋮ Free energy subadditivity for symmetric random Hamiltonians ⋮ Spectral analysis of the quantum random energy model ⋮ Free energy of the quantum Sherrington–Kirkpatrick spin-glass model with transverse field ⋮ The de Almeida-Thouless line in hierarchical quantum spin glasses

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