Longitudinal and transverse spin relaxation times of magnetic single adatoms: an ab initio analysis

Abstract

We present a systematic ab initio investigation of the longitudinal and transverse spin relaxation times of magnetic single adatoms deposited on metallic substrates. Our analysis based on time-dependent density functional theory shows that the longitudinal time, $T_{\parallel }$, is of order femtosecond while the transverse time, $T_{\perp }$, is of order picosecond, i.e. $T_{\perp }\gg T_{\parallel }$. This comes as a consequence of the different energy scales of the corresponding processes: $T_{\parallel }$ involves spin-density excitations of order eV, while $T_{\perp }$ is governed by atomic spin-excitations of order meV. Comparison to available inelastic scanning tunneling spectroscopy $\mathrm{d}I/\mathrm{d}V$ experimental curves shows that the order of magnitude of $T_{\perp }$ agrees well with our results. Regarding $T_{\parallel }$, the time scale calculated here is several orders of magnitude faster than what has been measured up to now; we therefore propose that an ultrafast laser pulse measuring technique is required in order to access the ultrafast spin-dynamics described in this work.

arXiv comment11 pages, 8 figures

References in corpus (26)

• Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
• Attosecond control of electrons emitted from a nanoscale metal tip
• Reading and Writing Single-Atom Magnets
• The role of magnetic anisotropy in the Kondo effect
• Spin Excitations and Correlations in Scanning Tunneling Spectroscopy
• Theory of single spin inelastic tunneling spectroscopy
• In-plane magnetic anisotropy of Fe atoms on Bi${}_2$Se${}_3$(111)
• Control of single-spin magnetic anisotropy by exchange coupling
• Tuning the magnetic anisotropy of single molecules
• Spin Inelastic Electron Tunneling Spectroscopy on Local Spin Adsorbed on Surface
• Magnetic susceptibility, exchange interactions and spin-wave spectra in the local spin density approximation
• Spin decoherence of magnetic atoms on surfaces
• Theory of Inelastic Electron Tunneling from a Localized Spin in the Impulsive Approximation
• Spin dynamics of current driven single magnetic adatoms and molecules
• Dynamical magnetic excitations of nanostructures from first-principles
• Theory of Local Dynamical Magnetic Susceptibilities from the Korringa-Kohn-Rostoker Green Function Method
• Accounting for spin fluctuations beyond LSDA in the density functional theory
• Relativistic dynamical spin excitations of magnetic adatoms
• Transverse dynamical magnetic susceptibilities from regular static density functional theory: Evaluation of damping and g-shifts of spin-excitations
• Symmetry effects on spin switching of adatoms
• Renormalization of electron self-energies via their interaction with spin excitations: A first-principles investigation
• Non-equilibrium current and noise in inelastic tunneling through a magnetic atom
• Versatile scanning tunneling microscopy with 120ps time resolution
• Zero-point spin-fluctuations of single adatoms
• Strong correlation effects in theoretical STM studies of magnetic adatoms
• Tuning paramagnetic spin-excitations of single adatoms

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• Zero-point quantum swing of magnetic couples
• Spin dynamics of $3d$ and $4d$ impurities embedded in prototypical topological insulators
• Spin-fluctuation and spin-relaxation effects of single adatoms from first principles
• Microscopic theory of spin-relaxation of a single Fe adatom coupled to substrate vibrations
• Electron-phonon coupling of Fe-adatom electron states on MgO/Ag(100)