The one-dimensional Hubbard model: a reminiscence

DOI10.1016/S0378-4371(02)01785-5zbMath1037.82009arXivcond-mat/0207529OpenAlexW1996979891MaRDI QIDQ1865460

Yanyan Li

Publication date: 26 March 2003

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0207529

zbMATH Keywords

ground-state energyMott transitionground-state wave function

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) History of statistical mechanics (82-03)

Related Items (22)

Anomalous mechanisms of the loss of observability in non-Hermitian quantum models ⋮ Hubbard pair cluster in the external fields. studies of the chemical potential ⋮ Algebraic geometry methods associated to the one-dimensional Hubbard model ⋮ Pseudoparticle approach to 1D integrable quantum models ⋮ Absence of ballistic charge transport in the half-filled 1D Hubbard model ⋮ Zero finite-temperature charge stiffness within the half-filled 1D Hubbard model ⋮ Hubbard pair cluster in the external fields. Studies of the magnetic properties ⋮ Quantum correlations of identical particles subject to classical environmental noise ⋮ Including a phase in the Bethe equations of the Hubbard model ⋮ Quantum Integrability of 1D Ionic Hubbard Model ⋮ One-particle spectral function singularities in a one-dimensional gas of spin-1/2 fermions with repulsive delta-function interaction ⋮ Quantum integrability in systems with finite number of levels ⋮ Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model ⋮ Counting operator analysis of the discrete spectrum of some model Hamiltonians ⋮ One-electron singular spectral features of the 1D Hubbard model at finite magnetic field ⋮ Rigorous proof of Luttinger liquid behavior in the 1d Hubbard model ⋮ FERROMAGNETISM OF THE HUBBARD MODEL AT STRONG COUPLING IN THE HARTREE–FOCK APPROXIMATION ⋮ PROFESSOR C. N. YANG AND STATISTICAL MECHANICS ⋮ Fermi–Hubbard model on nonbipartite lattices: flux problem and emergent chirality ⋮ Existence of solutions to the Bethe ansatz equations for the 1D Hubbard model: Finite lattice and thermodynamic limit ⋮ On the cluster structure of linear-chain fermionic wave functions ⋮ Pseudofermion dynamical theory for the spin dynamical correlation functions of the half-filled 1D Hubbard model

Cites Work

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• Fractional statistics in one dimension: View from an exactly solvable model
• Thermodynamics of One-Dimensional Solvable Models
• Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• Theory of Ferromagnetism and the Ordering of Electronic Energy Levels

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