The Hubbard Model: Its Physics and Mathematical Physics

Front Matter....Pages i-xii
The Hubbard Model: Some Rigorous Results and Open Problems....Pages 1-19
On the Bethe Ansatz Soluble Degenerate Hubbard Model....Pages 21-28
Thermodynamical Properties of the Exactly Solvable 1/ r -Hubbard- and 1/ r -tJ-Model....Pages 29-38
Hierarchy of 1D Electron Models with Long-Range Interaction....Pages 39-46
One-Dimensional Luttinger Liquid of Particles for a Class of Infinitely Repulsive Interactions: Exact Solution....Pages 47-54
Exact Results for Spin and Charge Dynamics of Electrons with Supersymmetry....Pages 55-62
Hidden Symmetry of Strongly Correlated Fermons....Pages 63-69
Symmetries of Strongly Correlated Electrons....Pages 71-80
Exact Results on a Supersymmetric Extended Hubbard Model....Pages 81-88
Functional Integrals for Correlated Electrons....Pages 89-102
Charge-Spin Separation and Pairing in a Generalized Hubbard Model....Pages 103-111
A Renormalization Procedure for the Hubbard Model....Pages 113-116
New Operator Algebra for the Hubbard Chain....Pages 117-124
Exact Results and Conjectures on the Adiabatic Holstein-Hubbard Model at Large Electron-Phonon Coupling....Pages 125-143
Ferromagnetism in Correlated Electron Systems: A New Class of Rigorous Criteria....Pages 145-153
The Mott Transition in Infinite Dimensions: Old Ideas and Some Surprises....Pages 155-166
The Hubbard Model with Local Disorder in d = ∞....Pages 167-174
The Hubbard Model with Infinite Interaction: Magnetic Properties....Pages 175-184
The Extended Hubbard Model at Large Interaction....Pages 185-192
Drude Weight and f-Sum Rule of the Hubbard Model at Strong Coupling....Pages 193-200
The Gutzwiller Projector in the Large U-Hubbard Model....Pages 201-208
Revising the 1/N Expansion for the Slave-Boson Approach within the Functional Integral....Pages 209-216
“Infrared Catastrophe:” When Does It Trash Fermi Liquid Theory?....Pages 217-225
Two Particle Scattering and Orthogonality Catastrophy in the Hubbard Model....Pages 227-235
Failure or Fermi Liquid Theory in 2 Dimensions: How to Infer it from Perturbation Theory....Pages 237-249
Conservation Laws in Normal Metals: Luttinger Liquid vs. Fermi Liquid....Pages 251-262
Charge-Spin Separation and the Spectral Properties of Luttinger Liquids....Pages 263-272
Non-Fermi Liquid Behavior in the Kondo and Heisenberg Models....Pages 273-276
Luttinger-Liquid Behaviour in 2D: The Variational Approach....Pages 277-281
Non-Fermi Liquid Behavior of Electrons in the 2D Honeycomb Lattice: A Renormalization Group Analysis....Pages 283-286
Search for Deviations from Fermi Liquid Behavior in 2D Repulsive and Attractive Hubbard Models....Pages 287-294
Hartree Fock and RPA Studies of the Hubbard Model....Pages 295-302
From One to Two Dimensions in the Weak Coupling Limit....Pages 303-306
Metal-Insulator Transition in the 2-D Hubbard Model: A Fermionic Linearization Approach....Pages 307-313
The Phase Diagram of the One-Dimensional Extended Hubbard Model....Pages 315-326
Quantum-Monte-Carlo Simulations of Correlation Functions for the One-Dimensional Hubbard Model....Pages 327-330
Quantum-Monte-Carlo Studies of One- and Two-Dimensional Hubbard Models....Pages 331-340
Effect of Disorder on Several Properties of the One-Band Hubbard Model in 2D....Pages 341-348
The Wavefunction Renormalization Constant for the One- and Two-Band Hubbard Hamiltonians in Two Dimensions....Pages 349-356
Electron Spectroscopy and Hubbard: Issues and Opportunities....Pages 357-372
On Electrical Properties of Chalcogenide Glassy Semiconductors in the Framework of Hubbard Model with Negative Correlation Energy....Pages 373-376
The Metal Insulator Transition in the Hubbard Model....Pages 377-383
Metal to Insulator Transition in the 2-D Hubbard Model: A Slave-Boson Approach....Pages 385-392
The Hubbard Model and Its Application to Conjugated π-Electron Systems....Pages 393-400
Back Matter....Pages 401-407