Statistical Mechanics of Magnetic Excitations : From Spin Waves to Stripes and Checkerboards.

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The aim of this advanced textbook is to provide the reader with a comprehensive explanation of the ground state configurations, the spin wave excitations and the equilibrium properties of spin lattices described by the Ising-Heisenberg Hamiltonians in the presence of short (exchange) and long range...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rastelli, Enrico
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific Publishing Company, 2013.
Colección:Series on advances in statistical mechanics.
Temas:
Statistical mechanics.
Mécanique statistique.
SCIENCE > Physics > General.
Statistical mechanics
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface; CONTENTS; 1. Magnetic Hamiltonians; 1.1. Hydrogen Molecule Hamiltonian; 1.2. Heisenberg Hamiltonian; 1.3. Spin Wave Excitations; 1.4. Two-Spin Deviation Excitations; 1.5. Two-Spin Deviation States in a Ring; 1.6. Spin Waves in Classical Mechanics; 1.7. Heisenberg Hamiltonian for Actual Compounds; 2. Spin Waves in Ferromagnets; 2.1. Spin-Boson Transformation; 2.2. Bosonic Approach to the Heisenberg Hamiltonian; 2.3. Harmonic Approximation; 2.4. Low Temperature Thermodynamic Functions; 2.5. Application to Quasi-2D and Quasi 1D-models; 3. Interacting Spin Waves in Ferromagnets.
  • 3.1. Neutron Scattering Cross-Section3.2. Boson Green Function; 3.3. First-Order Approximation; 3.4. Second-Order Approximation; 3.5. Dyson's Equation; 3.6. Renormalization and Damping; 4. Feynman Diagrams Expansion in Ferromagnets; 4.1. Temperature Green Function and Perturbation Expansion; 4.2. First-Order Perturbation Theory; 4.3. Second-Order Perturbation Theory; 4.4. Third-order Perturbation Theory; 4.5. T-matrix Approximation; 5. Two-Magnon Bound States in Ferromagnets; 5.1. Two-Spin Deviation Eigenstates; 5.2. Bound States in 1D; 5.3. Bound States in 2D; 5.4. Bound States in 3D.
  • 5.5. Bound States in Anisotropic Ferromagnets6. Perturbation Theory in Planar Ferromagnets; 6.1. Bogoliubov Transformation; 6.2. The Dyson Matrix Equation; 6.3. First-order Perturbation Theory; 6.4. Second-Order Perturbation Theory; 7. Spin Waves in Non-Collinear Systems; 7.1. Local Axis Transformation and Boson Hamiltonian; 7.2. Harmonic Approximation and Bogoliubov Transformation; 7.3. Ground-State Configurations; 7.4. Neel Antiferromagnet; 7.5. Antiferromagnetism in Close-Packed Lattices; 7.6. Order by Quantum and Thermal Disorder; 7.7. Frustration by Competing Interactions: Square Lattice.
  • 7.8. Frustration by Competing Interactions: Triangular Lattice7.9. Frustration by Competing Interaction: Honeycomb Lattice; 7.10. Neutron Scattering Cross-Section for a Helimagnet; 8. Spin Waves in Multilayers; 8.1. Spin Green Functions and Random Phase Approximation; 8.2. Multilayers; 8.3. Bilayer; 8.4. Trilayer; 8.5. Classical Spin Waves in Multilayers; 8.6. Classical Spin Waves in a Semi-Infinite Medium; 9. Spin Waves in Systems with Long Range Interaction; 9.1. Dipole-Dipole Interaction; 9.2. Dipolar Sums and Ewald's Method; 9.3. Ground-State Configuration of ErBa2Cu3O6+x.
  • 9.4. CEF Calculation for ErBa2Cu3O6+x9.5. Spin Waves in ErBa2Cu3O7; 10. Long Range Interactions in 2D Systems; 10.1. Dipole-Dipole Interaction in 2D Systems; 10.2. Planar Rotator Model with Long Range Interactions; 10.3. Stripes and Checkerboards in 2D Ising Model; 10.4. Monte Carlo Simulation; References; Index.

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