Correlation inequalities for quantum spin systems with quenched centered disorder

DOI10.1063/1.3293753zbMath1309.82020arXiv0906.5603OpenAlexW3101408624WikidataQ58295729 ScholiaQ58295729MaRDI QIDQ5246550

Pierluigi Contucci, Joel L. Lebowitz

Publication date: 21 April 2015

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

Full work available at URL: https://arxiv.org/abs/0906.5603

Mathematics Subject Classification ID

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) Continuum limits in quantum field theory (81T27)

Related Items (13)

Area decay of Wilson loop for lattice gauge theories with bond variables described by the transverse Ising model ⋮ General properties of overlap operators in disordered quantum spin systems ⋮ Quantum Griffiths inequalities ⋮ Universal nature of replica symmetry breaking in quantum systems with Gaussian disorder ⋮ Gauge theory for mixed p-spin glasses ⋮ Gauge theory for quantum XYZ spin glasses ⋮ Absence of replica symmetry breaking in disordered FKG-Ising models under uniform field ⋮ The ground state energy per site of the quantum and classical Edwards-Anderson spin glass in the thermodynamic limit ⋮ Correlation equalities and upper bounds for the transverse Ising model ⋮ Absence of replica symmetry breaking in the transverse and longitudinal random field Ising model ⋮ No replica symmetry breaking phase in the random field Ginzburg-Landau model ⋮ Self-averaging of perturbation Hamiltonian density in perturbed spin systems ⋮ Progress in the mathematical theory of quantum disordered systems

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• Quantum Phase Transitions
• THE THERMODYNAMIC LIMIT FOR FINITE DIMENSIONAL CLASSICAL AND QUANTUM DISORDERED SYSTEMS

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