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Strongly correlated systems : theoretical methods

Author: Adolfo Avella; Ferdinando Mancini
Publisher: Berlin ; Heidelberg : Springer, ©2012.
Series: Springer series in solid-state sciences, 171.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
The volume presents, for the very first time, an exhaustive collection of those modern theoretical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and materials science, belong to this class of systems. Any technique is presented in great  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Adolfo Avella; Ferdinando Mancini
ISBN: 9783642218316 3642218318
OCLC Number: 760887746
Description: 1 online resource (xxxi, 461 pages).
Contents: Strongly Correlated Systems; Preface; Contents; Foreword; Chapter 1 Density Functional Theory: A Personal View; 1.1 Introduction; 1.2 The Early Years: The Density as a Basic Variable; 1.3 Towards an À̀pproximate Practical Method''; 1.4 Density Functional Formalism; 1.4.1 Single-Particle Description ofa Many-Particle System; 1.4.2 Approximations to Exc; 1.4.3 Exchange-Correlation Energy, Exc; 1.4.4 DF Theory in Retrospect; 1.5 The Beryllium Dimer ; 1.5.1 The Story to Late 1979; 1.5.2 1980-1984; 1.5.3 After 1984; 1.6 Concluding Remarks; References. Chapter 2 Projected Wavefunctions and High Tc Superconductivity in Doped Mott Insulators2.1 Introduction; 2.2 Hubbard Model and Projected Wavefunctions; 2.3 Particle-hole Asymmetry in Doped Mott Insulators; 2.4 Gutzwiller Approximation; 2.5 Superconducting Ground State; 2.5.1 Energy Gap; 2.5.2 Order Parameter; 2.6 Momentum Distribution; 2.7 Electronic Excitations and Spectral Properties; 2.7.1 Nodal Fermi Velocity; 2.7.2 Spectral Function; 2.7.3 Sum Rules; 2.7.4 Fermi Surface; 2.8 Superfluid Density ; 2.8.1 Doping Dependence of Ds; 2.8.2 Temperature Dependence of Ds. 2.9 Disorder and Strong Correlations2.10 Competing Orders: Antiferromagnetism; 2.11 Conclusion; References; Chapter 3 The Pseudoparticle Approach to Strongly Correlated Electron Systems; 3.1 Introduction; 3.2 Pseudoparticle Representations of Quantum Operators; 3.2.1 Spin Operators; 3.2.1.1 Fermionic Representations of S=1/2 Spins; 3.2.2 Electron Operators; 3.2.2.1 Barnes's Representation; 3.2.2.2 Kotliar and Ruckenstein Representation; 3.2.2.3 Spin-Rotation Invariant Representation; 3.2.2.4 Spin- and Charge-Rotation-Invariant Formulation; 3.2.2.5 Gauge Symmetry and Radial Slave Boson Fields. 3.3 Mean-Field Approximations3.3.1 Saddle-Point Approximation to the Barnes Representation; 3.3.1.1 Kondo Effect in the Anderson Impurity Model; 3.3.1.2 Heavy Fermions in the Anderson Lattice Model; 3.3.2 Saddle-Point Approximation to the KRRepresentation; 3.3.2.1 Mott-Hubbard Metal-Insulator Transition; 3.3.2.2 Magnetic Order in the Anderson Lattice Model; 3.4 Fluctuation Corrections to the Saddle-Point Approximation: SRI Representationof the Hubbard Model; 3.4.1 Magnetic and Stripe Phases; 3.5 Conserving Self-Consistent Approximations; 3.5.1 General Properties. 3.5.2 Exact Infrared Properties of PseudoparticlePropagators3.5.3 Fock Space Projection in Saddle-PointApproximation; 3.5.4 Noncrossing Approximation (NCA); 3.5.4.1 Anderson Impurity Model for U: NCA; 3.5.4.2 Anderson Impurity Model with Finite U: SUNCA; 3.5.5 Conserving T-Matrix Approximation (CTMA); 3.5.5.1 Construction of the CTMA; 3.5.5.2 Principal Results; 3.6 Renormalization Group Approaches; 3.6.1 P̀̀oor Man's Scaling" in the Equilibrium Kondo Model; 3.6.2 Functional RG for the Kondo Model Outof Equilibrium; 3.6.3 RG Approach to the Kondo Modelat Strong Coupling.
Series Title: Springer series in solid-state sciences, 171.
Responsibility: Adolfo Avella, Ferdinando Mancini, editors.
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Abstract:

This volume presents, for the very first time, an exhaustive collection of those modern theoretical methods specifically tailored for the analysis of strongly correlated systems. It further offers an  Read more...

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