Correlated electrons in quantum matter / Peter Fulde.

Format:

Book

Author/Creator:

Fulde, Peter, 1936-

Language:

English

Subjects (All):

Electron configuration.

Solid state physics.

Physical Description:

1 online resource (550 p.)

Place of Publication:

Hackensack, NJ : World Scientific, c2012.

Summary:

An understanding of the effects of electronic correlations in quantum systems is one of the most challenging problems in physics, partly due to the relevance in modern high technology. Yet there exist hardly any books on the subject which try to give a comprehensive overview on the field covering insulators, semiconductors, as well as metals. The present book tries to fill that gap. It intends to provide graduate students and researchers a comprehensive survey of electron correlations, weak and strong, in insulators, semiconductors and metals. This topic is a central one in condensed matter an

Contents:

Preface; Contents; List of Acronyms; 1 Introduction; 2 Independent Electrons; 2.1 Many-Electron Hamiltonian; 2.2 Basis Sets; 2.3 Self-consistent Field Equations; 2.4 Unrestricted SCF Approximation; 2.5 Missing Features of the Independent-Electron Approximation; 3 Homogeneous Electron Gas; 3.1 Uncorrelated Electrons; 3.2 Random-Phase Approximation; 3.3 Wigner Crystal; 4 Density Functional Theory; 4.1 Theory of Hohenberg, Kohn and Sham; 4.2 Local-Density Approximation and Extensions; 4.3 Strong Electron Correlations: LDA+U; 4.4 The Energy Gap Problem; 4.5 Time-Dependent DFT

5 Wavefunction-Based Methods5.1 Method of Configuration Interactions; 5.2 Cumulants and their Properties; 5.3 Ground-State Wavefunction and Energy; 5.3.1 Method of Increments; 5.4 Different Approximation Schemes.; 5.4.1 Partitioning and Projection Methods; 5.4.2 Coupled Cluster Method; 5.4.3 Selection of Excitation Operators; 5.4.4 Trial Wavefunctions; 6 Correlated Ground-State Wavefunctions; 6.1 Semiconductors; 6.1.1 Model for Interatomic Correlations; 6.1.2 Estimates of Intra-Atomic Correlations; 6.1.3 Ab Initio Results; 6.2 Ionic and van der Waals Solids

6.2.1 Three Oxides: MgO, CaO and NiO6.2.2 Rare-Gas Solids; 6.3 Simple Metals; 6.4 Ground States with Strong Correlations: CASSCF; 7 Quasiparticle Excitations; 7.1 Single-particle Green's Function; 7.1.1 Perturbation Expansions; 7.1.2 Temperature Green's Function; 7.2 Quasiparticles in Metals; 7.3 Quasiparticles in Semiconductors and Insulators; 7.3.1 Quasiparticle Approximation; 7.3.2 A Simple Model: Bond-Orbital Approximation; 7.3.3 Wavefunction-Based Ab Inito Calculations; 8 Incoherent Excitations; 8.1 Projection Method; 8.2 An Example: Hubbard Model; 9 Coherent-Potential Approximations

9.1 Static Disorder9.2 Dynamical Disorder: DMFT and Beyond; 10 Strongly Correlated Electrons; 10.1 Measure of Correlation Strengths; 10.2 Indicators of Strong Correlations; 10.2.1 Low-Energy Scales: a Simple Model; 10.2.2 Effective Hamiltonians; 10.3 Kondo Effect; 10.4 The Hubbard Model Revisited; 10.4.1 Spin-Density Wave Ground State; 10.4.2 Gutzwiller's Ground-State Wavefunction; 10.4.3 Hubbard's Approximations and their Extensions; 10.4.4 Kanamori Limit; 10.5 The t-J Model; 10.6 Mean-Field Approximations; 10.6.1 Test of Different Approximation Schemes; 10.7 Metal-Insulator Transitions

10.8 Numerical Studies10.9 Break-down of Fermi Liquid Description; 10.9.1 Marginal Fermi Liquid Behavior; 10.9.2 Charged and Neutral Quasiparticles; 10.9.3 Hubbard Chains; 10.9.4 Quantum Critical Point; 11 Transition Metals; 11.1 Ground-State Wavefunction; 11.2 Satellite Structures; 11.3 Temperature-Dependent Magnetism; 11.3.1 Local Spin Fluctuations; 11.3.2 Long-Wavelength Spin Fluctuations; 12 Transition-Metal Oxides; 12.1 Doped Charge-Transfer Systems: the Cuprates; 12.1.1 Quasiparticle-like Excitations; 12.2 Orbital Ordering; 12.2.1 Manganites: LaMnOa and related Compounds

12.2.2 Vanadates: LaV03

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [509]-524) and index.

ISBN:

981-4390-93-3