Relativistic dynamical spin excitations of magnetic adatoms

Abstract

We present a first-principles theory of dynamical spin excitations in the presence of spin-orbit coupling. The broken global spin rotational invariance leads to a new sum rule. We explore the competition between the magnetic anisotropy energy and the external magnetic field, as well as the role of electron-hole excitations, through calculations for 3$d$-metal adatoms on the Cu(111) surface. The spin excitation resonance energy and lifetime display non-trivial behavior, establishing the strong impact of relativistic effects. We legitimate the use of the Landau-Lifshitz-Gilbert equation down to the atomic limit, but with parameters that differ from a stationary theory.

8 pages, 3 figures, accepted in PRB

References in corpus (7)

• Magnetic Anisotropy and Magnetization Dynamics of Individual Atoms and Clusters of Fe and Co on Pt(111)
• Wannier-function approach to spin excitations in solids
• Spin Orbit Coupling and Spin Waves in Ultrathin Ferromagnets: The Spin Wave Rashba Effect
• Spin wave dispersion based on the quasiparticle self-consistent $GW$ method: NiO, MnO and $\alpha$-MnAs
• Dynamical magnetic excitations of nanostructures from first-principles
• Superconducting pairing mediated by spin-fluctuations from first principles
• Renormalization of electron self-energies via their interaction with spin excitations: A first-principles investigation

Cited by in corpus (11)

• Spin decoherence of magnetic atoms on surfaces
• Transverse dynamical magnetic susceptibilities from regular static density functional theory: Evaluation of damping and g-shifts of spin-excitations
• Correlating Josephson supercurrents and Shiba states in quantum spins unconventionally coupled to superconductors
• Zero-point spin-fluctuations of single adatoms
• Longitudinal and transverse spin relaxation times of magnetic single adatoms: an ab initio analysis
• Tuning paramagnetic spin-excitations of single adatoms
• Spin dynamics of $3d$ and $4d$ impurities embedded in prototypical topological insulators
• Engineering elliptical spin-excitations by complex anisotropy fields in Fe adatoms and dimers on Cu(111)
• Spin, atomic and inter-atomic orbital magnetism induced by 3d nanostructures deposited on transition metal surfaces
• Three-atom magnets with strong substrate coupling: a gateway towards non-collinear spin processing
• Generalization of the Landau-Lifshitz-Gilbert equation by multi-body contributions to Gilbert damping for non-collinear magnets