Ground states and low-temperature phases of itinerant electrons interacting with classical fields: A review of rigorous results

DOI10.1063/1.531923zbMath0883.60096OpenAlexW2016756296MaRDI QIDQ4340151

Joel L. Lebowitz, Nicolas Macris

Publication date: 4 March 1998

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

Full work available at URL: http://infoscience.epfl.ch/record/100835

zbMATH Keywords

Hubbard modelsthermal and quantum fluctuations

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Electromagnetic interaction; quantum electrodynamics (81V10)

Cites Work

• Chaotic polaronic and bipolaronic states in the adiabatic Holstein model
• On the flux phase conjecture at half-filling: An improved proof
• Fluxes, Laplacians, and Kasteleyn's theorem
• Beta function and Schwinger functions for a many fermions system in one dimension. Anomaly of the Fermi surface
• Low-temperature phase diagrams of quantum lattice systems. I: Stability for quantum perturbations of classical systems with finitely-many ground states.
• An itinerant electron model with crystalline or magnetic long range order
• Generalized Hartree-Fock theory and the Hubbard model
• Low-temperature phases of itinerant fermions interacting with classical phonons: The static Holstein model
• Studies of polaron motion. I: The molecular-crystal model; II: The 'small' polaron
• LOW TEMPERATURE STATES IN THE FALICOV-KIMBALL MODEL

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