Dynamics of spin relaxation in nonequilibrium magnetic nanojunctions

Abstract

We investigate nonequilibrium phenomena in magnetic nano-junctions using a numerical approach that combines classical spin dynamics with the hierarchical equations of motion technique for quantum dynamics of conduction electrons. Our focus lies on the spin dynamics, where we observe non-monotonic behavior in the spin relaxation rates as a function of the coupling strength between the localized spin and conduction electrons. Notably, we identify a distinct maximum at intermediate coupling strength, which we attribute to a competition that involves the increasing influence of the coupling between the classical spin and electrons, as well as the influence of decreasing local density of states at the Fermi level. Furthermore, we demonstrate that the spin dynamics of a large open system can be accurately simulated by a short chain coupled to semi-infinite metallic leads. In the case of a magnetic junction subjected to an external DC voltage, we observe resonant features in the spin relaxation, reflecting the electronic spectrum of the system. The precession of classical spin gives rise to additional side energies in the electronic spectrum, which in turn leads to a broadened range of enhanced damping in the voltage.

27 pages, 11 figures

References in corpus (78)

• Spintronics: Fundamentals and applications
• Enhanced Gilbert Damping in Thin Ferromagnetic Films
• Spin Transfer Torques
• Roles of non-equilibrium conduction electrons on magnetization dynamics of ferromagnets
• Atomistic spin model simulations of magnetic nanomaterials
• Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
• Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach
• Microscopic approach to current-driven domain wall dynamics
• A method for atomistic spin dynamics simulations: implementation and examples
• Advances and challenges in single-molecule electron transport
• Macrospin Models of Spin Transfer Dynamics
• Interface enhancement of Gilbert damping from first-principles
• Ab-initio calculation of the Gilbert damping parameter via linear response formalism
• Time-dependent density-matrix renormalization group: A systematic method for the study of quantum many-body systems out-of-equilibrium
• Spirit: Multifunctional Framework for Atomistic Spin Simulations
• Time-dependent density-functional theory for open systems
• Gilbert Damping in Magnetic Multilayers
• Atomistic spin dynamic method with both damping and moment of inertia effects included from first principles
• Linear dynamics of quantum-classical hybrids
• Magnetization Dynamics of Nanoscale Magnetic Materials: A Perspective
• Theory of Vibrationally Inelastic Electron Transport through Molecular Bridges
• Propagation Scheme for Non-Equilibrium Dynamics of Electron Transport in Nanoscale Devices
• Large spin current generation by the spin Hall effect in mixed crystalline phase Ta thin films
• Relaxation vs decoherence: Spin and current dynamics in the anisotropic Kondo model at finite bias and magnetic field
• Electron energy relaxation in the presence of magnetic impurities
• Two-color spin noise spectroscopy: Using spin fluctuation correlations to reveal homogeneous linewidths within quantum dot ensembles
• Classical Nuclear Motion in Quantum Transport
• Time-retarded damping and magnetic inertia in the Landau-Lifshitz-Gilbert equation self-consistently coupled to electronic time-dependent nonequilibrium Green functions
• Spin and charge pumping by steady or pulse current-driven magnetic domain wall: A self-consistent multiscale time-dependent-quantum/time-dependent-classical approach
• Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz-Gilbert equation of spin dynamics
• Dynamics of Kondo voltage splitting after a quantum quench
• Current-induced bond rupture in single-molecule junctions
• Spin noise spectroscopy beyond thermal equilibrium and linear response
• 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
• Hierarchical quantum master equation approach to current fluctuations in nonequilibrium charge transport through nanosystems
• The emergence of classical behavior in magnetic adatoms
• Nonlocal torque operators in ab initio theory of the Gilbert damping in random ferromagnetic alloys
• Nutation Wave as a Platform for Ultrafast Spin Dynamics in Ferromagnets
• Effective temperature and Gilbert damping of a current-driven localized spin
• Spintronics meets nonadiabatic molecular dynamics: Geometric spin torque and damping on noncollinear classical magnetism due to electronic open quantum system
• Anomalous spin precession under a geometrical torque
• Electron spin relaxation of single phosphorus donors in metal-oxide-semiconductor nanoscale devices
• Comparison of quantum and classical relaxation in spin dynamics
• Nonequilibrium open quantum systems with multiple bosonic and fermionic environments: A hierarchical equations of motion approach
• Time-dependent spin and transport properties of a single-molecule magnet in a tunnel junction
• Adiabaticity in semiclassical nanoelectromechanical systems
• Relaxation of a classical spin coupled to a strongly correlated electron system
• Quantum spin-transfer torque induced nonclassical magnetization dynamics and electron-magnetization entanglement
• Topical Review on Skyrmions and Hall Transport
• From materials to systems: a multiscale analysis of nanomagnetic switching
• Magnon-driven chiral charge and spin pumping and electron-magnon scattering from time-dependent quantum transport combined with atomistic spin dynamics theory
• Spintronics meets density matrix renormalization group: Quantum spin torque driven nonclassical magnetization reversal and dynamical buildup of long-range entanglement
• Transient spin dynamics in a single-molecule magnet
• Voltage dependence of Landau-Lifshitz-Gilbert damping of a spin in a current driven tunnel junction
• Subnanosecond switching of local spin-exchange coupled to ferromagnets
• Steering Magnetic Skyrmions with Nonequilibrium Green's Functions
• Time-dependent Andreev bound states of a quantum dot coupled to two superconducting leads
• Simulation of Charge Transport in Organic Semiconductors: A Time-Dependent Multiscale Method Based on Non-Equilibrium Green's Functions
• Formal equivalence between partitioned and partition-free quenches in quantum transport
• Inertia effects in the real-time dynamics of a quantum spin coupled to a Fermi sea
• Spin-dependent heat signatures of single-molecule spin dynamics
• An observable effect of spin inertia in slow magneto-dynamics: Increase of the switching error rates in nanoscale ferromagnets
• Topological spin torque emerging in classical-spin systems with different time scales
• Spin dynamics at the singlet-triplet crossings in double quantum dot
• When can localized spins interacting with conduction electrons in ferro- or antiferromagnets be described classically via the Landau-Lifshitz equation: Transition from quantum many-body entangled to quantum-classical nonequilibrium states
• Spin transport and tunable Gilbert damping in a single-molecule magnet junction
• Accessing long timescales in the relaxation dynamics of spins coupled to a conduction-electron system using absorbing boundary conditions
• Macrospin approximation and quantum effects in models for magnetization reversal
• Nonequilibrium charge transport through Falicov-Kimball structures connected to metallic leads
• Long-time relaxation dynamics of a spin coupled to a Chern insulator
• Subgap dynamics of double quantum dot coupled between superconducting and normal leads
• Photon-assisted electronic and spin transport in a junction containing precessing molecular spin
• Spin-fluctuation and spin-relaxation effects of single adatoms from first principles
• Dynamical exchange and phase induced switching of a localized molecular spin
• Electronic transport through correlated electron systems with nonhomogeneous charge orderings
• Nonequilibrium dynamics in a spin valve with noncollinear magnetization
• Shot noise of charge and spin transport in a junction with a precessing molecular spin

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