Mott transition in lattice boson models

DOI10.1007/s00220-006-0038-9zbMath1115.82003arXivmath-ph/0509060OpenAlexW1992984533WikidataQ62458586 ScholiaQ62458586MaRDI QIDQ881643

Roberto Fernández, Jürg Fröhlich, Daniel Ueltschi

Publication date: 31 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0509060

zbMATH Keywords

Mott transitionlattice boson modelPhase transitions general

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (8)

Local iterative block-diagonalization of gapped Hamiltonians: A new tool in singular perturbation theory ⋮ Lie-Schwinger block-diagonalization and gapped quantum chains with unbounded interactions ⋮ Lie-Schwinger block-diagonalization and gapped quantum chains ⋮ Lie-Schwinger block-diagonalization and gapped quantum chains: analyticity of the ground-state energy ⋮ Rigorous results of phase transition theory in lattice boson models ⋮ Local Gaussian domination and Bose condensation in lattice boson model ⋮ Phase diagram and correlation functions of the anisotropic imperfect Bose gas in d dimensions ⋮ Quasi-locality bounds for quantum lattice systems. II: perturbations of frustration-free spin models with gapped ground states

Cites Work

• The mathematics of the Bose gas and its condensation.
• Exact solution of the infinite-range-hopping Bose-Hubbard model
• Low-temperature phase diagrams of quantum lattice systems. I: Stability for quantum perturbations of classical systems with finitely-many ground states.
• Low temperature phase diagrams for quantum perturbations of classical spin systems
• Effective interactions due to quantum fluctuations
• LOW TEMPERATURE STATES IN THE FALICOV-KIMBALL MODEL
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