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The Hubbard Model : Its Physics and Mathematical Physics

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Cover of 'The Hubbard Model : Its Physics and Mathematical Physics'

Table of Contents

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    Book Overview
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    Chapter 1 The Hubbard Model: Some Rigorous Results and Open Problems
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    Chapter 2 On the Bethe Ansatz Soluble Degenerate Hubbard Model
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    Chapter 3 Thermodynamical Properties of the Exactly Solvable 1/ r -Hubbard- and 1/ r -tJ-Model
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    Chapter 4 Hierarchy of 1D Electron Models with Long-Range Interaction
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    Chapter 5 One-Dimensional Luttinger Liquid of Particles for a Class of Infinitely Repulsive Interactions: Exact Solution
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    Chapter 6 Exact Results for Spin and Charge Dynamics of Electrons with Supersymmetry
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    Chapter 7 Hidden Symmetry of Strongly Correlated Fermons
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    Chapter 8 Symmetries of Strongly Correlated Electrons
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    Chapter 9 Exact Results on a Supersymmetric Extended Hubbard Model
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    Chapter 10 Functional Integrals for Correlated Electrons
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    Chapter 11 Charge-Spin Separation and Pairing in a Generalized Hubbard Model
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    Chapter 12 A Renormalization Procedure for the Hubbard Model
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    Chapter 13 New Operator Algebra for the Hubbard Chain
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    Chapter 14 Exact Results and Conjectures on the Adiabatic Holstein-Hubbard Model at Large Electron-Phonon Coupling
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    Chapter 15 Ferromagnetism in Correlated Electron Systems: A New Class of Rigorous Criteria
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    Chapter 16 The Mott Transition in Infinite Dimensions: Old Ideas and Some Surprises
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    Chapter 17 The Hubbard Model with Local Disorder in d = ∞
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    Chapter 18 The Hubbard Model with Infinite Interaction: Magnetic Properties
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    Chapter 19 The Extended Hubbard Model at Large Interaction
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    Chapter 20 Drude Weight and f-Sum Rule of the Hubbard Model at Strong Coupling
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    Chapter 21 The Gutzwiller Projector in the Large U-Hubbard Model
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    Chapter 22 Revising the 1/N Expansion for the Slave-Boson Approach within the Functional Integral
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    Chapter 23 “Infrared Catastrophe:” When Does It Trash Fermi Liquid Theory?
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    Chapter 24 Two Particle Scattering and Orthogonality Catastrophy in the Hubbard Model
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    Chapter 25 Failure or Fermi Liquid Theory in 2 Dimensions: How to Infer it from Perturbation Theory
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    Chapter 26 Conservation Laws in Normal Metals: Luttinger Liquid vs. Fermi Liquid
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    Chapter 27 Charge-Spin Separation and the Spectral Properties of Luttinger Liquids
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    Chapter 28 Non-Fermi Liquid Behavior in the Kondo and Heisenberg Models
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    Chapter 29 Luttinger-Liquid Behaviour in 2D: The Variational Approach
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    Chapter 30 Non-Fermi Liquid Behavior of Electrons in the 2D Honeycomb Lattice: A Renormalization Group Analysis
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    Chapter 31 Search for Deviations from Fermi Liquid Behavior in 2D Repulsive and Attractive Hubbard Models
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    Chapter 32 Hartree Fock and RPA Studies of the Hubbard Model
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    Chapter 33 From One to Two Dimensions in the Weak Coupling Limit
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    Chapter 34 Metal-Insulator Transition in the 2-D Hubbard Model: A Fermionic Linearization Approach
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    Chapter 35 The Phase Diagram of the One-Dimensional Extended Hubbard Model
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    Chapter 36 Quantum-Monte-Carlo Simulations of Correlation Functions for the One-Dimensional Hubbard Model
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    Chapter 37 Quantum-Monte-Carlo Studies of One- and Two-Dimensional Hubbard Models
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    Chapter 38 Effect of Disorder on Several Properties of the One-Band Hubbard Model in 2D
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    Chapter 39 The Wavefunction Renormalization Constant for the One- and Two-Band Hubbard Hamiltonians in Two Dimensions
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    Chapter 40 Electron Spectroscopy and Hubbard: Issues and Opportunities
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    Chapter 41 On Electrical Properties of Chalcogenide Glassy Semiconductors in the Framework of Hubbard Model with Negative Correlation Energy
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    Chapter 42 The Metal Insulator Transition in the Hubbard Model
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    Chapter 43 Metal to Insulator Transition in the 2-D Hubbard Model: A Slave-Boson Approach
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    Chapter 44 The Hubbard Model and Its Application to Conjugated π-Electron Systems
Attention for Chapter 16: The Mott Transition in Infinite Dimensions: Old Ideas and Some Surprises
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Chapter title
The Mott Transition in Infinite Dimensions: Old Ideas and Some Surprises
Chapter number 16
Book title
The Hubbard Model
Published by
Springer, Boston, MA, January 1995
DOI 10.1007/978-1-4899-1042-4_16
Book ISBNs
978-1-4899-1044-8, 978-1-4899-1042-4
Authors

Gabriel Kotliar, Marcelo J. Rosenberg

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Brazil 1 100%

Demographic breakdown

Readers by professional status Count As %
Student > Bachelor 1 100%
Readers by discipline Count As %
Physics and Astronomy 1 100%