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Atomistic spin dynamics : foundations and applications /
Several large experimental facilities that focus on detection and probing magnetization dynamics have been realized in Europe, USA and Japan. This book covers theoretical and practical aspects of the vibrant and emerging research field of magnetization dynamics.
| Clasificación: | Libro Electrónico |
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| Autores principales: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford, United Kingdom :
Oxford University Press,
2017.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Preface; Acknowledgements; Contents; Part 1 Density Functional Theory and its Applications to Magnetism; 1 Density Functional Theory; 1.1 Background of the many-electron problem; 1.2 The Hartree-Fock theory; 1.3 The Hohenberg-Kohn theorems; 1.4 The Kohn-Sham equation; 1.5 Non-collinear magnetism, and time-dependent density functional theory; 2 Aspects of the Solid State; 2.1 Crystal systems and space groups; 2.2 The Born-von Karman boundary condition, and Bloch waves; 2.3 A variational procedure to obtain eigenvalues; 2.4 Density of states; 2.5 Relativistic effects
- 2.6 Green's function formalism, Heisenberg exchange, and a multiscale approach to spin dynamics3 Applications of Density Functional Theory; 3.1 Cohesive and structural properties; 3.2 Spin and orbital moments, and the magnetic form factor; 3.3 Magnetic anisotropy energy; 3.4 Heisenberg exchange parameters; 3.5 Non-collinear magnets; Part 2 Equation of Motion for Atomistic Spin Dynamics; 4 The Atomistic Spin Dynamics Equation of Motion; 4.1 A few introductory comments; 4.2 Spin dynamics from first principles; 4.3 Equations of motion for the spin and charge densities
- 4.4 Local coordinate systems and the adiabatic approximation4.5 The atomic moment approximation and constraining field; 4.6 Damping motion and relaxation; 4.7 The relation between the Landau-Lifshitz and the Landau-Lifshitz-Gilbert equations; 4.8 The magnetic Hamiltonian; 5 Spin Dynamics at Finite Temperature; 5.1 Langevin dynamics; 5.2 Stochastic differential equations; 5.3 Finite difference approximations to stochastic differential equations and the choice of stochastic calculus; 5.4 Fluctuation-dissipation relations for the stochastic Landau-Lifshitz equation
- 5.4.1 The stochastic Landau-Lifshitz equation in the form of the Langevin equation5.4.2 The Fokker-Planck equation; 5.4.3 Fluctuation-dissipation relations with quantum corrections; 5.5 Conservation properties of the Landau-Lifshitz equation; 5.6 Finite temperature exchange; 5.7 Some final comments; 6 The Damping Term, from First Principles; 6.1 Background; 6.2 The breathing Fermi surface; 6.3 The torque correlation model; 6.4 The linear response formulation; 6.5 Inclusion of disorder and temperature effects; 6.6 Symmetry analysis of the damping tensor; 7 Implementation; 7.1 UppASD
- 7.2 The effective magnetic field7.2.1 Neighbour lists; 7.2.2 Contributions to the effective field; 7.3 Spin-transfer torque; 7.4 Numerical integration of the Landau-Lifshitz and stochastic Landau-Lifshitz equations; 7.4.1 Properties of integrators; 7.4.2 Overview of stochastic Landau-Lifshitz integrators; 7.4.3 The dimensionless and normalized SLLG equation; 7.4.4 Heun with projection; 7.4.5 The geometric Depondt-Mertens method; 7.4.6 The IMP method; 7.4.7 The McLachlan-Modin-Verdier SMP method; 7.4.8 Mentink's SIB method; 7.4.9 Comparison of solvers