UID:
almahu_9948026415402882
Umfang:
1 online resource (345 p.)
Ausgabe:
1st ed.
ISBN:
1-281-02290-X
,
9786611022907
,
0-08-052499-0
Inhalt:
This book is devoted to the mathematical description of interesting phenomena which occur in solids, such as ferromagnetism, antiferromagnetism and superconductivity. Superconductivity and its interaction with ferro and antiferromagnetism is of special importance since over the last 15 years the temperature of superconductivity existence has been raised from 15-20 K to 100 K, which will allow in the near future numerous practical applications of this phenomenon. Although the book is written in a rather rigorous mathematical language it is made easy to read by detailed derivation for those havi
Anmerkung:
Description based upon print version of record.
,
Front Cover; Models of ITINERANT ORDERING IN CRYSTALS; Copyright Page; Table of Contents; Preface; Part One. Introduction to Theory of Solids; Chapter 1. Periodic Structures; 1.1 Fundamental Types of Lattices; 1.2 Diffraction of Waves by a Crystal and the Reciprocal Lattice; 1.2.1 Reciprocal lattice vectors; 1.3 Brillouin Zones; References; Chapter 2. Various Statistics; Appendix 2A: Fermi-Dirac And Bose-Einstein Distribution Functions; References; Chapter 3. Paramagnetism and Weiss Ferromagnetism; 3.1 Paramagnetism; 3.2 Weiss Ferromagnetism; References; Chapter 4. Electron States
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4.1 The Nearly Free Electron Model4.1.1 General result for ?(e); 4.1.2 Use of DOS for evaluating lattice sums in momentum space; 4.1.3 Heat capacity of the free electron gas: an introduction; 4.2 The Tight-Binding Method; 4.2.1 Cohesion energy; 4.3 Bloch Theorem; Appendix 4A: Nearly Free Electrons, Two-Plane Waves Model; References; Part Two. Models of Itinerant Ordering in Crystals; Chapter 5. The Hubbard Model; 5.1 Simple Hubbard Model; 5.2 Extended Hubbard Model; References; Chapter 6. Different Approximations for Hubbard Model; 6.1 Chain Equation for Green Functions
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6.2 Hartree-Fock Approximation6.3 Hubbard I Approximation; 6.3.1 Atomic limit; 6.3.2 Finite bandwidth limit; 6.4 Extended Hubbard III Approximation; 6.5 Coherent Potential Approximation; 6.5.1 Relation between CPA, Hubbard III and extended Hubbard III approximations; 6.5.2 Different applications of the CPA; 6.6 Spectral Density Approach; 6.7 Modified Alloy Analogy; 6.8 Dynamical Mean-Field Theory; 6.9 Hubbard Model Extended by Inter-site Interactions; 6.9.1 Modified Hartree-Fock approximation; 6.9.2 Coherent potential approximation for the extended Hubbard model
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Appendix 6A: Equation of Motion for the Green FunctionsAppendix 6B: Hubbard Solution for the Scattering and Resonance Broadening Effects; 6B.1 The scattering effect; 6B.2 The resonance broadening effect; Appendix 6C: Modified Hartree-Fock Approximation for the Inter-site Interactions; References; Chapter 7. Itinerant Ferromagnetism; 7.1 Periodic Table - Ferromagnetic Elements; 7.1.1 Ferromagnetic elements; 7.2 Introduction to Stoner Model; 7.2.1 Static magnetic susceptibility; 7.3 Stoner Model for Ferromagnetism; 7.4 Stoner Model for Rectangular and Parabolic Band; 7.4.1 Rectangular band
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7.4.2 Parabolic nearly free electron band7.5 Modified Stoner Model; 7.5.1 Modified Stoner Model for a semi-elliptic band; 7.6 Beyond Hartree-Fock Model; 7.6.1 General formalism; 7.6.2 Enhancement of magnetic susceptibility; 7.6.3 Critical values of interactions; 7.6.4 Numerical results; 7.7 The Critical Point Exponents; 7.8 Spin Waves in Ferromagnetism; 7.8.1 Energy of spin-wave excitations; 7.8.2 Dynamic susceptibility of ferromagnets; 7.8.3 Curie temperature; References; Chapter 8. Itinerant Antiferromagnetism; 8.1 Phenomenological Introduction
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8.2 Simple Model of Itinerant Antiferromagnetism
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English
Weitere Ausg.:
ISBN 0-08-044647-7
Sprache:
Englisch
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