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Quantum Theory of Magnetism

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ISBN-10: 3540854150

ISBN-13: 9783540854159

Edition: 2009

Authors: Wolfgang Nolting, Anupuru Ramakanth

List price: $79.00
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This text, written in a tutorial style, starts from the fundamental features of atomic magnetism, discusses the essentially single-particle problems of dia- and paramagnetism, in order to provide the basis for the exclusively interesting collective magnetism (ferro, ferri, antiferro).
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Book details

List price: $79.00
Copyright year: 2009
Publisher: Springer London, Limited
Publication date: 10/15/2009
Binding: Hardcover
Pages: 752
Size: 6.25" wide x 9.25" long x 1.50" tall
Weight: 2.662
Language: English

Basic Facts
Macroscopic Maxwell Equations
Magnetic Moment and Magnetization
Classification of Magnetic Materials
Collective Magnetism
Elements of Thermodynamics
Atomic Magnetism
Hund's Rules
Russell-Saunders (Z.S-) Coupling
Hund's Rules for LS Coupling
Dtirac Equation
Electron Spin
Spin-Orbit Coupling
Wigner-Eckart Theorem
Rotation Operator
Angular Momentum
Rotation Matrices
Tensor Operators
Wigner-Eckart Theorem
Examples of Application
Electron in an External Magnetic Field
Nuclear Quadrupole Field
Hyperfine Field
Magnetic Hamiltonian of the Atomic Electron
Many-Electron Systems
Coulomb Interaction
Spin-Orbit Coupling
Further Couplings
Bohr-van Leeuwen Theorem
Larmor Diamagnetism (Insulators)
The Sommerfeld Model of a Metal
Properties of the Model
Sommerfeld Expansion
Landau Diamagnetism (Metals)
Free Electrons in Magnetic Field (Landau Levels)
Grand Canonical Potential of the Conduction Electrons
Susceptibility of the Conduction Electrons
The de Haas-Van Alphen Effect
Oscillations in the Magnetic Susceptibility
Electron Orbits in Magnetic Field
Physical Origin of the Oscillations
Onsager Argument
Pauli Spin Paramagnetism
"Primitive" Theory of the Pauli Spin Paramagnetism
Temperature Corrections
Exchange Corrections
Paramagnetism of the Localized Electrons
Weak Spin-Orbit Interaction
Strong Spin-Orbit Coupling
Van Vleck Paramagnetism
Exchange Interaction
Phenomenological Theories
The Exchange Field
Weiss Ferromagnet
Direct Exchange Interaction
Pauli's Principle
The Heitler-London Method
Dirac's Vector Model
Indirect Exchange Interaction
Rudermann-Kittel-Kasuya-Yosida (RKKY) Interaction
Double Exchange
Ising Model
The Model
The One Dimensional Ising Model
Spontaneous Magnetization
One Dimensional Ising Model in External Field
The Phase Transition of Two-Dimensional Ising Model
The Method of Proof
Finite Ising Lattice with Special Boundary Conditions
Realization Possibilities for the Polygons
Magnetization of the Finite Lattice
Thermodynamic Limit
The Free Energy of the Two-Dimensional Ising Model
High-Temperature Expansion
Spin Products as Graphs
Directed Paths
Matrix M1
Free Energy per Spin
Curie Temperature Tc
Specific Heat
Spontaneous Magnetization
Heisenberg Model
Model Hamiltonian
Spin Operators
Model Extensions
Exact Statements
Mermin-Wagner Theorem
One-lylagnon States of a Ferromagnet
Molecular Fields Approximations
Spin Waves
Linear Spin Wave Theory for the Isotropic Ferromagnet
"Renormalized" Spin Waves
Harmonic Approximation for Antiferromagnets
Harmonic Approximation for a Ferromagnet with Dipolar Interaction
Thermodynamics of S = 1 /2 Ferromagnet
Tyablikov Decoupling
Spontaneous Magnetization
Thermodynamic Potentials
Thermodynamics of S > 1/2 Ferromagnets
Green's Functions
Spontaneous Magnetization
The Callen Method
Hubbard Model
Model for Band Magnets
Solid as a Many-Body System
Electrons in Narrow Energy Bands
Hubbard Model
Stoner Model
Stoner Ansatz (Ferromagnet)
Stoner Excitations
Magnetic Phase Transition
Static Susceptibility
Exact Statements and General Properties
Mermin-Wagner Theorem
The Infinitely Narrow Band
The Two-Site Model
The Exactly Half-Filled Band
Strong-Coupling Regime
Spectral Moments
High-Energy Expansions
Weak-Coupling Regime
Infinite Dimensions
Effective "impurity"-Problem
Magnetism and Electronic Correlations
Hubbard-I Approximation
Interpolation Method
Correlation Effects and Ferromagnetism
Criterion for Ferromagnetism
Static Susceptibility and Ferromagnetism
Spin-Dependent Band Shift
Quasiparticle Damping
Dynamical Mean Field Theory
Modified Perturbation Theory
Curie Temperature, Magnetization and Static Susceptibility
Second Quantization
Identical Particles
Continuous Fock Representation
Symmetrized Many-Particle States
Construction Operators
Many-Body Operators
Discrete Fock Representation (Occupation Number Representation)
Symmetrized Many-Particle States
Construction Operators
Bloch Electrons
Wannier Electrons
Density Operator
Coulomb Interaction
The Method of Green's Functions
Linear Response Theory
Kubo Formula
Magnetic Susceptibility
Dielectric Function
Spectroscopies and Spectral Densities
Double-Time Green's Functions
Definitions and Equations of Motion
Spectral Representations
Spectral Theorem
Spectral Moments
Kramer's-Kronig Relations
Simple Applications
The Quasiparticle Concept
Interacting Electrons
Electronic Self-energy
Quasiparticle Density of States
Solutions to Problems