Models of itinerant ordering in crystals : an introduction /: an introduction. (2007)

• Record Type: Book
• Further Information: Note: By Jerzy Mizia and Grzegorz Górski.
• Other Names: Mizia, Jerzy; Górski, Grzegorz
• Contents: Cover -- 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 -- 1.3 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 -- 4.1 The Nearly Free Electron Model -- 4.2 The Tight-Binding Method -- 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 -- 6.2 Hartree-Fock Approximation -- 6.3 Hubbard I Approximation -- 6.4 Extended Hubbard III Approximation -- 6.5 Coherent Potential Approximation -- 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 -- Appendix 6A: Equation of Motion for the Green Functions -- Appendix 6B: Hubbard Solution for the Scattering and Resonance Broadening Effects -- Appendix 6C: Modified Hartree-Fock Approximation for the Inter-site Interactions -- References -- Chapter 7. Itinerant Ferromagnetism -- 7.1 Periodic Table -- Ferromagnetic Elements -- 7.2 Introduction to Stoner Model -- 7.3 Stoner Model for Ferromagnetism -- 7.4 Stoner Model for Rectangular and Parabolic Band -- 7.5 Modified Stoner Model -- 7.6 Beyond Hartree-Fock Model -- 7.7 The Critical Point Exponents -- 7.8 Spin Waves in Ferromagnetism -- References -- Chapter 8. Itinerant Antiferromagnetism -- 8.1 Phenomenological Introduction -- 8.2 Simple Model of Itinerant Antiferromagnetism -- 8.3 Free Energy and the Magnetic Susceptibility -- 8.4 Antiferromagnetism Induced by On-site and Inter-site Correlations -- 8.5 Free Energy and the Magnetic Susceptibility Including Correlation Effects -- 8.6 Onset of Antiferromagnetism -- 8.7 Numerical Results for Magnetization and Néel's Temperature -- 8.8 Spin-Density Waves -- Appendix 8A: Antiferromagnetism in the Presence of On-site and Inter-site Coulomb Correlation -- References -- Chapter 9. Alloys, Disordered Systems -- 9.1 Introduction -- 9.2 Order-Disorder Transformation and Bragg-Williams Approximation -- 9.3 Relation with the Band Model -- 9.4 Transition Metal Alloys -- 9.5 Different Types of Disorder in Bragg-Williams Approximation -- References -- Chapter 10. Itinerant Superconductivity -- 10.1 Phenomenological Introduction and Historical Background -- 10.2 Physical Properties of the High-Temperature Superconductors -- 10.3 Classic (BCS) Model for Superconductivity -- 10.4 Electron.
• Publisher Details: Amsterdam Boston : Elsevier
• Publication Date: 2007
• Extent: 1 online resource (xii, 331 pages), illustrations
• Subjects: 548.7; Crystals -- Mathematical models; Crystallography, Mathematical; SCIENCE -- Physics -- Crystallography; Crystallography, Mathematical; Crystals -- Mathematical models; Electronic books
• Languages: English
• ISBNs: 9780080524993; 0080524990
• Related ISBNs: 0080446477; 9780080446479
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.