Hubbard Operators in the Theory of Strongly Correlated Electrons

The following sections are included:

• Contents

• Preface

The following sections are included:

• Hamiltonian of the Hubbard Model and its Symmetry

• Time Inversion

• Electron Hole Symmetry

• Pseudospin Symmetry for Half-Filled Case

• The Band Limit

• The Atomic Limit, Hubbard 1 Solution

• The Hubbard Model in One and Infinite Dimension Cases

• The t–J Model

• The Hubbard Model in X-Operator Representation

• Study of the Electronic Structure by the Angle Resolved Photoemission Spectroscopy

The following sections are included:

• The Isotropic Heisenberg Model

• The Heisenberg Model with Single-Ion Anisotropy

• The Atomic Representation for s–d(f) Exchange Model

• The Periodic Anderson Model

• The Multiband Model of Transition Metal Oxides

The following sections are included:

• The Definition of Fermi- and Bose-Type Quasiparticles

• The Exact Intracell Local Green's Function

• The Generalized Tight-Binding Method for Quasiparticle Band Structure Calculations

• The Concentration Dependence of the Quasiparticle Band Structure

• Ab Initio Approach to the Quasiparticle Band Structure of Strongly Correlated Electron Systems

• The Generalized Tight-Binding Method and the Exact Lehmann Representation

The following sections are included:

• Unitary Operators and Transformation Laws in Atomic Representation

• Diagonalization of Two-Level and Quasi-Two-Level Forms

• The Diagonalization of Three-Level Forms

• The Diagonalization of the N Level Hamiltonian

The following sections are included:

• Green's Function in the X-Operators Representation

• Wick's Theorem for the Hubbard Operators

• Averaging the Diagonal X-Operators

• External and Internal Operators: Simplest Vertexes

• A Hierarchy of Interaction Lines and a Topological Continuity Principles

• Calculation of the Sign for an Arbitrary Diagram

• Diagrams with Ovals

• General Rules for Arbitrary Order Diagram

• The Larkin Equation

• The Self-Energy and the Strength Operator

• Low Temperature Properties of Anisotropic Ferromagnet

• Effect of the Three-Site Correlated Hopping on the Magnetic Mechanism of d_x²−y²-Superconductivity in the t–J^* Model

The following sections are included:

• The Hamiltonian of the Anisotropic s–f Magnet in Atomic Representation

• The Green Function and Dispersion Equation

• The Ferromagnetic Metal with Single Axis Anisotropy

• The Metallic Ferromagnets with the SA of Cubic Symmetry

The following sections are included:

• The Hamiltonian of a Strong Correlated Narrow Band Antiferromagnet

• The Hamiltonian in the Non-colinear Phase: Unitary Transformation

• Construction of the Atomic Representation Basis

• The Hamiltonian of the Narrow Band Antiferromagnet in the Non-colinear Phase in Atomic Representation

• The Green's Functions and Dispersion Relations

• The Spectrum of Holes Near the Spin-flip Transition

• The Peculiarities of the de Haas-van Alphen Effect in Antiferromagnetic Semimetal with Magnetic Polaron States

• The Temperature Quantum Oscillations Caused by Non-Fermi Liquid Effects

The following sections are included:

• The Exact Diagonalization of the CuO₄ Cluster

• The Construction of the Wannier Functions and X-Representation of the Multiband p–d Model

• The Evolution of the Band Structure and ARPES Data with Doping from the Undoped Antiferromagnetic Insulator to Optimal Doped and Overdoped Metal

• Comparison of the Electronic Structure and Superconductivity of Cuprates and Ruthenates

The following sections are included:

• References

• Index