Unified framework of the microscopic Landau-Lifshitz-Gilbert equation and its application to Skyrmion dynamics
arXiv:2310.08807 · doi:10.1103/PhysRevB.108.144409
Abstract
The Landau-Lifshitz-Gilbert (LLG) equation is widely used to describe magnetization dynamics. We develop a unified framework of the microscopic LLG equation based on the nonequilibrium Green's function formalism. We present a unified treatment for expressing the microscopic LLG equation in several limiting cases, including the adiabatic, inertial, and nonadiabatic limits with respect to the precession frequency for a magnetization with fixed magnitude, as well as the spatial adiabatic limit for the magnetization with slow variation in both its magnitude and direction. The coefficients of those terms in the microscopic LLG equation are explicitly expressed in terms of nonequilibrium Green's functions. As a concrete example, this microscopic theory is applied to simulate the dynamics of a magnetic Skyrmion driven by quantum parametric pumping. Our work provides a practical formalism of the microscopic LLG equation for exploring magnetization dynamics.
References in corpus (86)
- Skyrmion Lattice in a Chiral Magnet
- Spin Transfer Torques
- Observation of room temperature magnetic skyrmions and their current-driven dynamics in ultrathin Co films
- Topological Hall effect in the A-phase of MnSi
- Roles of non-equilibrium conduction electrons on magnetization dynamics of ferromagnets
- Nonlocal magnetization dynamics in ferromagnetic heterostructures
- Spin Transfer Torques in MnSi at Ultra-low Current Densities
- Direct Observation of the Skyrmion Hall Effect
- Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmion at room temperature
- Skyrmions at room temperature : From magnetic thin films to magnetic multilayers
- Skyrmion Hall Effect Revealed by Direct Time-Resolved X-Ray Microscopy
- Scattering approach to parametric pumping
- Magnetic skyrmion logic gates: conversion, duplication and merging of skyrmions
- Will spin-relaxation times in molecular magnets permit quantum information processing?
- An Adiabatic Quantum Electron Pump
- Electron transport through single Mn12 molecular magnets
- Floquet scattering theory of quantum pumps
- Thermally Driven Ratchet Motion of Skyrmion Microcrystal and Topological Magnon Hall Effect
- Signatures of Molecular Magnetism in Single-Molecule Transport Spectroscopy
- Quantum transport theory for nanostructures with Rashba spin-orbital interaction
- Ultrafast photo-magnetic recording in transparent medium
- Dynamics of an Insulating Skyrmion under a Temperature Gradient
- Magnetic Vortex Core Reversal by Excitation of Spin Waves
- Mesoscopic mechanism of adiabatic charge transport
- Ultrafast Magnetization Reversal by Picosecond Electrical Pulses
- Electric field-induced Skyrmion distortion and giant lattice rotation in the magnetoelectric insulator Cu2OSeO3
- Electric Field Controlled Magnetic Anisotropy in a Single Molecule
- Dissipation and noise in adiabatic quantum pumps
- Spin-Torque Driven Magnetization Dynamics: Micromagnetic Modelling
- Quantum spin field effect transistor
- Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
- Adiabatic charge pumping in almost open dots
- Magnetization dynamics in the inertial regime: nutation predicted at short time scales
- First-principles calculation of the Gilbert damping parameter via the linear response formalism with application to magnetic transition-metals and alloys
- Geometry, Statistics and Asymptotics of Quantum Pumps
- Mesoscopic Fluctuations of Adiabatic Charge Pumping in Quantum Dots
- Atomistic spin dynamic method with both damping and moment of inertia effects included from first principles
- Charge Pumping and Photovoltaic effect in Open Quantum Dots
- Optimal Quantum Pumps
- A unified first-principles study of Gilbert damping, spin-flip diffusion and resistivity in transition metal alloys
- Driving magnetic skyrmions with microwave fields
- Picosecond Spin Orbit Torque Switching
- Quantum pump for spin and charge transport in a Luttinger liquid
- Electric-field guiding of magnetic skyrmions
- Quantum phase interference and spin parity in Mn12 single-molecule magnets
- Self-Focusing Skyrmion Racetracks in Ferrimagnets
- Parametric pumping at finite frequency
- Magnetization noise in magnetoelectronic nanostructures
- Spin orbit precession damping in transition metal ferromagnets
- Relativistic theory of magnetic inertia in ultrafast spin dynamics
- Pumping at resonant transmission and transferred charge quantization
- Topology-Dependent Brownian Gyromotion of a Single Skyrmion
- Topological Spin Hall Effect due to Magnetic Skyrmions
- Time-retarded damping and magnetic inertia in the Landau-Lifshitz-Gilbert equation self-consistently coupled to electronic time-dependent nonequilibrium Green functions
- Microwave-induced dynamic switching of magnetic skyrmion cores in nanodots
- Topological Hall and Spin Hall Effects in Disordered Skyrmionic Textures
- Non-adiabatic charge pump: an exact solution
- Magnetization Dissipation in Ferromagnets from Scattering Theory
- Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz-Gilbert equation of spin dynamics
- Spin and charge pumping by steady or pulse current-driven magnetic domain wall: A self-consistent multiscale time-dependent-quantum/time-dependent-classical approach
- Current-induced switching in transport through anisotropic magnetic molecules
- Inertial terms to magnetization dynamics in ferromagnetic thin films
- Spin-torque shot noise in magnetic tunnel junctions
- Heat current in parametric quantum pump
- Dynamics of an elliptical ferromagnetic skyrmion driven by the spin-orbit torque
- Enhancement of parametric pumping due to Andreev reflection
- First-principles investigation of transient current of molecular devices by using complex absorbing potential
- Microscopic Theory for Coupled Atomistic Magnetization and Lattice Dynamics
- Cotunneling through a magnetic single-molecule transistor based on N\atC60
- Spin dynamics and relaxation in the classical-spin Kondo-impurity model beyond the Landau-Lifschitz-Gilbert equation
- Electrical and Thermal Control of Magnetic Exchange Interactions
- Parametric quantum spin pump
- Noise and dissipation in magnetoelectronic nanostructures
- Quantization of adiabatic pumped charge in the presence of superconducting lead
- Time-dependent spin and transport properties of a single-molecule magnet in a tunnel junction
- Spin Torque Dynamics with Noise in Magnetic Nano-System
- Memristive properties of single-molecule magnets
- Optimal quantum pump in the presence of a superconducting lead
- Transient spin dynamics in a single-molecule magnet
- Theory of magnetic inertial dynamics in two-sublattice ferromagnets
- Spin transport and tunable Gilbert damping in a single-molecule magnet junction
- Realization of valley-spin polarized current via parametric pump in monolayer
- Numerical study of parametric pumping current in mesoscopic systems in the presence of magnetic field
- Transport features of topological corner states in honeycomb lattice with multihollow structure
- Correlated two-electron transport: a principle for a novel charge pump
- AC- and DC-driven noise and I-V characteristics of magnetic nanostructures