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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
Availability
Available Online
Oxford Scholarship - Oxford University Press: Physics
Copies in the Library
Location
Call Number
Status
Location Service
Notes
Harold P. Furth Plasma Physics Library - Stacks
QC754.2.M34 E75 2017
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Details
Subject(s)
Rotational motion
[Browse]
Magnetization
[Browse]
Author
Bergman, Anders
[Browse]
Bergqvist, Lars
[Browse]
Hellsvik, Johan
[Browse]
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.
Show 121 more Contents items
ISBN
9780198788669 ((hbk.))
0198788665 ((hbk.))
LCCN
2016938429
OCLC
979750476
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Atomistic spin dynamics : foundations and applications / Olle Eriksson [and three others].
id
99126747543906421