Free energy of the quantum Sherrington–Kirkpatrick spin-glass model with transverse field

DOI10.1063/5.0009291zbMath1454.82045arXiv1912.13041OpenAlexW3080225631MaRDI QIDQ5141019

Christian Brennecke, Arka Adhikari

Publication date: 17 December 2020

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

Full work available at URL: https://arxiv.org/abs/1912.13041

zbMATH Keywords

Parisi formulaSherrington-Kirkpatrick spin-glass model

Mathematics Subject Classification ID

Gaussian processes (60G15) 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 (8)

Generalized random energy models in a transversal magnetic field: free energy and phase diagrams ⋮ The free energy of a quantum Sherrington-Kirkpatrick spin-glass model for weak disorder ⋮ Free energy subadditivity for symmetric random Hamiltonians ⋮ Spectral analysis of the quantum random energy model ⋮ Ultrametricity in spin glasses ⋮ Free energy upper bound for mean-field vector spin glasses ⋮ The quantum random energy model as a limit of p-spin interactions ⋮ The de Almeida-Thouless line in hierarchical quantum spin glasses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some rigorous results on the Sherrington-Kirkpatrick spin glass model.
• Free energy in the Potts spin Glass
• Free energy in the mixed \(p\)-spin models with vector spins
• Broken replica symmetry bounds in the mean field spin glass model
• The Parisi ultrametricity conjecture
• Phase diagram of the quantum random energy model
• The Parisi formula has a unique minimizer
• The Parisi formula for mixed \(p\)-spin models
• Thermodynamics and universality for mean field quantum spin glasses
• The Parisi formula
• The free energy of a quantum Sherrington-Kirkpatrick spin-glass model for weak disorder
• Relationship between d-Dimensional Quantal Spin Systems and (d+1)-Dimensional Ising Systems: Equivalence, Critical Exponents and Systematic Approximants of the Partition Function and Spin Correlations
• Random-energy model: An exactly solvable model of disordered systems
• Ising spin glass in a transverse field: Replica-symmetry-breaking solution
• The Sherrington-Kirkpatrick Model
• The quantum random energy model as a limit of p-spin interactions
• Mean Field Models for Spin Glasses

This page was built for publication: Free energy of the quantum Sherrington–Kirkpatrick spin-glass model with transverse field