Rigorous results concerning the Holstein-Hubbard model

DOI10.1007/s00023-016-0506-5zbMath1361.82036OpenAlexW2381624779MaRDI QIDQ512462

Tadahiro Miyao

Publication date: 24 February 2017

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-016-0506-5

zbMATH Keywords

ground stateCoulomb interactionsHolstein-Hubbard modelHilbert cones

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Statistical mechanics of superconductors (82D55) Statistical mechanics of solids (82D20)

Related Items

Quantum Griffiths inequalities ⋮ Nagaoka's theorem in the Holstein-Hubbard model ⋮ Ground state properties of the Holstein-Hubbard model ⋮ Ground state properties of the periodic Anderson model with electron-phonon interactions ⋮ Stability of charge density waves in electron-phonon systems ⋮ Thermal stability of the Nagaoka-Thouless theorems ⋮ Long-range charge order in the extended Holstein-Hubbard model ⋮ Electron-phonon interaction in Kondo lattice systems ⋮ Correlation inequalities for Schrödinger operators ⋮ Stability of ferromagnetism in many-electron systems ⋮ Upper bounds on the charge susceptibility of many-electron systems coupled to the quantized radiation field

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum Griffiths inequalities
• Monotonicity of the polaron energy. II: General theory of operator monotonicity
• Long-range charge order in the extended Holstein-Hubbard model
• Ground state properties of the SSH model
• Positivity and monotonicity properties of \(C_ 0-\)semigroups. I
• Positivity and monotonicity properties of \(C_ 0-\)semigroups. II
• Axioms for Euclidean Green's functions. II
• Direct integrals of selfdual cones and standard forms of von Neumann algebras
• A nonperturbative approach to nondegeneracy of ground states in quantum field theory: Polaron models
• Monotonicity of the polaron energy
• Axioms for Euclidean Green's functions
• Upper bounds on the charge susceptibility of many-electron systems coupled to the quantized radiation field
• Lieb's spin-reflection-positivity method and its applications to strongly correlated electron systems
• Studies of polaron motion. I: The molecular-crystal model; II: The 'small' polaron
• Existence and uniqueness of physical ground states
• Ordering Energy Levels of Interacting Spin Systems
• THE POLARON REVISITED
• Invariant Cones and Uniqueness of the Ground State for Fermion Systems
• Distribution of passage time for a random walk on a finite solvable group