Atomistic spin dynamics : foundations and applications / Olle Eriksson, Anders Bergman, Lars Bergqvist, Johan Hellsvik.

Author
Eriksson, Olle [Browse]
Format
Book
Language
English
Εdition
First edition.
Published/​Created
Oxford : Oxford University Press, 2017.
Description
x, 254 pages : illustrations (black and white) ; 25 cm

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Harold P. Furth Plasma Physics Library - Stacks QC754.2.M34 E75 2017 Browse related items Request

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    Summary note
    The purpose of this book is to provide a theoretical foundation and an understanding of atomistic spin dynamics (ASD), and to give examples of where the atomistic Landau-Lifshitz-Gilbert equation can and should be used. As argued in the text, a description of magnetism in an atomistic way is very natural and allows for an interpretation of experimental results in a clear and deep way. This description also allows for calculations, from first principles, of all parameters needed to perform the spin dynamics simulations, without using experimental results as input to the simulations. As shown in the book, we are now at a very exciting situation, where it is possible to perform accurate and efficient atomistic simulations on a length and time scale which is balancing on the edge of what is experimentally possible. In this way, ASD simulations can both validate and be validated by state-of-the-art experiments, and ASD simulations also have the possibility to act as a predictive tool that is able to explain the magnetization dynamics in experimentally inaccessible situations. The purpose of this book has been to communicate technically relevant concepts. An even larger motivation is to communicate an inspiration to magnetism and magnetization dynamics, and the emerging technological fields that one may foresee, for example, in magnonics, solitonics, and skyrmionics. Book jacket.
    Bibliographic references
    Includes bibliographical references and index.
    Contents
    • Density Functional Theory and its Applications to Magnetism
    • Density Functional Theory
    • Background of the many-electron problem
    • The Hartree-Fock theory
    • The Hohenberg-Kohn theorems
    • The Kohn-Sham equation
    • Non-collinear magnetism, and time-dependent density functional theory
    • Aspects of the Solid State
    • Crystal systems and space groups
    • The Born-von Karman boundary condition, and Bloch waves
    • A variational procedure to obtain eigenvalues
    • Density of states
    • Relativistic effects
    • Green's function formalism, Heisenberg exchange, and a multiscale approach to spin dynamics
    • Applications of Density Functional Theory
    • Cohesive and structural properties
    • Spin and orbital moments, and the magnetic form factor
    • Magnetic anisotropy energy
    • Heisenberg exchange parameters
    • Non-collinear magnets
    • Equation of Motion for Atomistic Spin Dynamics
    • The Atomistic Spin Dynamics Equation of Motion
    • A few introductory comments
    • Spin dynamics from first principles
    • Equations of motion for the spin and charge densities
    • Local coordinate systems and the adiabatic approximation
    • The atomic moment approximation and constraining field
    • Damping motion and relaxation
    • The relation between the Landau-Lifshitz and the Landau-Lifshitz-Gilbert equations
    • The magnetic Hamiltonian
    • Spin Dynamics at Finite Temperature
    • Langevin dynamics
    • Stochastic differential equations
    • Finite difference approximations to stochastic differential equations and the choice of stochastic calculus
    • Fluctuation-dissipation relations for the stochastic Landau-Lifshitz equation
    • The stochastic Landau-Lifshitz equation in the form of the Langevin equation
    • The Fokker-Planck equation
    • Fluctuation-dissipation relations with quantum corrections
    • Conservation properties of the Landau-Lifshitz equation
    • Finite temperature exchange
    • Some final comments
    • The Damping Term, from First Principles
    • Background
    • The breathing Fermi surface
    • The torque correlation model
    • The linear response formulation
    • Inclusion of disorder and temperature effects
    • Symmetry analysis of the damping tensor
    • Implementation
    • UppASD
    • The effective magnetic field
    • Neighbour lists
    • Contributions to the effective field
    • Spin-transfer torque
    • Numerical integration of the Landau-Lifshitz and stochastic Landau-Lifshitz equations
    • Properties of integrators
    • Overview of stochastic Landau-Lifshitz integrators
    • The dimensionless and normalized SLLG equation
    • Heun with projection
    • The geometric Depondt-Mertens method
    • The IMP method
    • The McLachlan-Modin-Verdier SMP method
    • Mentink's SIB method
    • Comparison of solvers
    • Random number generation, and statistics
    • Extraction of observables
    • Trajectory-based observables
    • Correlation functions
    • Correlation functions and Fourier transforms
    • Sampling, averaging, and post-processing
    • Thermodynamic observables
    • Aspects of efficiency and optimization
    • Parallelization approaches
    • Shared memory parallelization
    • Distributed memory parallelization
    • GPU parallelization
    • Applications
    • Ferromagnetic Resonance
    • Experimental set-up and demagnetization field
    • Kirtel equations
    • Damping and anisotropy ignored
    • Including anisotropy
    • Full treatment including damping
    • The Smit-Suhl equation
    • Spin wave resonance
    • Magnons
    • Spin excitations in solids
    • Experimental methods
    • Adiabatic magnon spectra and the frozen magnon method
    • Dynamical magnetic susceptibility
    • Surface magnons from atomistic spin dynamics
    • Thin films of Co on Cu substrates
    • A comparison of approaches
    • Fe on Cu(001)
    • Fe on Ir(001)
    • Fe on W(110)
    • Magnon lifetimes
    • Skyrmions
    • Magnetism and topology
    • Magnetic skyrmions
    • Theoretical prediction and experimental identification
    • Dimensionality and stability
    • From lattices to individual skyrmions
    • Magnetization dynamics and modelling
    • Ultrafast Switching Dynamics
    • Energy barriers, domains, and domain walls
    • Macrospin switching
    • Internal-field-assisted switching
    • Inertia-like switching
    • Domain wall motion
    • Ultrafast demagnetization: face-centred cubic Ni as an example
    • The three-temperature model
    • All-optical magnetization reversal
    • Conclusions and Outlook
    • Outlook on Magnetization Dynamics
    • Hierarchy of time scales and length scales
    • Non-locality in space and time
    • Exchange-correlation potentials
    • Time-dependent density7 functional theory, and optimal control theory
    • Adiabatic ab initio atomistic spin dynamics
    • Longitudinal spin fluctuations in atomistic spin dynamics
    • A multiscale approach to atomistic spin dynamics
    • Combined spin-lattice simulations
    • Conclusions.
    ISBN
    • 9780198788669 ((hbk.))
    • 0198788665 ((hbk.))
    LCCN
    2016938429
    OCLC
    979750476
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