Magnetic excitations and geometric confinement : theory and simulations /

Many intriguing dynamical effects in magnetism occur in geometrically confined systems, where the presence of closed boundaries leads to constraints on the magnetic moments. This, coupled with nonlinearity, allows various types of magnetic excitations such as solitons and vortices whose dynamics can...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Wysin, Gary Matthew (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2015]
Colección:IOP (Series). Release 2.
IOP expanding physics.
Temas:
Spin excitations.
Nuclear spin.
Magnetic resonance.
Statistical mechanics.
Spin waves.
SCIENCE / Physics / Condensed Matter.
Condensed matter physics (liquid state & solid state physics)
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface
  • 1. Introduction : geometrically confined magnetic systems
  • 1.1. Magnetic order, dipoles and fields
  • 1.2. Effects due to geometry
  • 1.3. Exchange interactions
  • 1.4. Anisotropic exchange couplings
  • 1.5. Local anisotropies
  • 1.6. Theory for linear and nonlinear magnetism
  • 1.7. Simulations in magnetism
  • part I. Theory and simulation approaches for magnetism
  • 2. Magnetism theory : spin models
  • 2.1. Magnetic dipoles and magnetic ordering
  • 2.2. Atomic dipoles
  • 2.3. Local spin interaction models
  • 2.4. Discrete exchange interactions
  • 2.5. Ferromagnetic spin exchange in a continuum limit
  • 2.6. Ferromagnetic exchange in micromagnetics
  • 2.7. FM continuum limit on any lattice
  • 2.8. Angular coordinates for classical spin direction
  • 2.9. Classical spin mechanics
  • 2.10. Classical spin torques
  • 2.11. Quantum spin mechanics
  • 3. Demagnetization effects in thin magnets
  • 3.1. The magnetostatics problem in a finite magnet
  • 3.2. The magnetic field inside a cylindrical magnet
  • 3.3. Demagnetization fields in thin-film magnets
  • 3.4. Use of fast Fourier transforms
  • 3.5. Demagnetization in a thin permalloy magnet
  • 4. Classical Monte Carlo simulation methods
  • 4.1. Thermal equilibrium and ergodicity
  • 4.2. Boltzmann distribution for thermal equilibrium
  • 4.3. Importance sampling and the Metropolis algorithm
  • 4.4. Monte Carlo simulation of a 2D XY model
  • 4.5. Cluster algorithms for spin updates
  • 4.6. Microcanonical Monte Carlo
  • 5. Classical spin dynamics simulations
  • 5.1. Landau-Lifshitz-Gilbert spin dynamics
  • 5.2. Numerical time evolution for spin dynamics
  • 5.3. Hybrid Monte Carlo-spin dynamics at T [greater than] 0
  • 5.4. Stochastic dynamics--thermal fluctuations in the planar rotor model
  • 5.5. Numerical solutions of Langevin equations
  • 5.6. Langevin spin dynamics
  • 5.7. Dynamic correlation responses
  • part II. Excitations in magnetic systems
  • 6. Spin waves : extended but low-dimensional systems
  • 6.1. Spin waves in ferromagnetic models
  • 6.2. Spin waves in antiferromagnetic models
  • 6.3. Dynamic correlations of spin wave fluctuations
  • 6.4. Nonlinear spin waves--ferromagnets
  • 7. Solitons in magnetic chains
  • 7.1. Nonlinear excitations : solitons in FM magnetic chains
  • 7.2. Ferromagnetic sine-Gordon kink instability
  • 7.3. [pi]-kinks in ferromagnetic chains
  • 7.4. Magnetic kinks in antiferromagnetic chains
  • 8. Vortices in layered or 2D ferromagnets
  • 8.1. A 2D ferromagnet with easy-plane exchange anisotropy
  • 8.2. In-plane and out-of-plane vortices
  • 8.3. Vortex instability
  • 8.4. Moving in-plane and out-of-plane vortices
  • 8.5. The vortex unbinding transition
  • 8.6. Monte Carlo simulations of the Berezinskii-Kosterlitz-Thouless transition
  • 8.7. Dynamic correlations in XY models
  • 9. Magnetic vortex core motion and internal dynamics
  • 9.1. Thiele equations and vortex motion
  • 9.2. Relation of vortex momentum to the Thiele equations
  • 9.3. Vortex forces and motions
  • 9.4. Some simple examples of vortex dynamics
  • 9.5. Vortex-spin wave interactions and normal modes
  • 9.6. Vortex mass obtained from vortex normal modes
  • 10. Vortices in thin ferromagnetic nanodisks
  • 10.1. Vortex states in magnetic nanodisks
  • 10.2. Vortex-in-disk effective potentials
  • 10.3. T = 0 Gyrotropic vortex motion in thin nanodisks
  • 10.4. Thermalized vortex motion
  • 11. Spin ices and geometric frustration
  • 11.1. Spin ice and frustrated states
  • 11.2. Magnetic monopoles and string excitations in spin ice
  • 11.3. Square lattice spin ice energetics and order parameters
  • 11.4. Dynamics in square lattice artificial spin ice
  • 11.5. Triangular lattice artificial spin ice
  • 11.6. Kagomé lattice artificial spin ice
  • 11.7. Langevin dynamics for Kagomé ice in thermal equilibrium.

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