Anisotropic damping of the magnetization dynamics in Ni, Co, and Fe

Gilmore, Keith; Stiles, Mark D.; Seib, Jonas; Steiauf, Daniel; Fähnle, M.

doi:10.1103/physrevb.81.174414

Cited by 91 publications

(91 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The tensorial character of the Gilbert damping was also concluded recently in other investigations [16,57]. In this form it accounts for transversal spin relaxation that conserves the length of the magnetization, i.e., ∂(M · M )/∂t = 0.…”

Section: The Damping Equationsmentioning

confidence: 89%

“…Along with that it is not surprising that the last term implies a Dzyaloshinskii-Moriya-like contribution. The anisotropic nature of the Gilbert damping has been noted before [18,57], but not the appearance of the Dzyaloshinskii-Moriya-like damping. This type of damping could be related to the chiral damping of magnetic domain walls that was reported recently [58].…”

Section: The Damping Equationsmentioning

confidence: 99%

See 1 more Smart Citation

Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz-Gilbert equation of spin dynamics

2016

View full text Add to dashboard Cite

Starting from the Dirac-Kohn-Sham equation we derive the relativistic equation of motion of spin angular momentum in a magnetic solid under an external electromagnetic field. This equation of motion can be rewritten in the form of the well-known Landau-Lifshitz-Gilbert equation for a harmonic external magnetic field, and leads to a more general magnetization dynamics equation for a general time-dependent magnetic field. In both cases with an electronic spin-relaxation term which stems from the spin-orbit interaction. We thus rigorously derive, from fundamental principles, a general expression for the anisotropic damping tensor which is shown to contain an isotropic Gilbert contribution as well as an anisotropic Ising-like and a chiral, Dzyaloshinskii-Moriya-like contribution. The expression for the spin relaxation tensor comprises furthermore both electronic interband and intraband transitions. We also show that when the externally applied electromagnetic field possesses spin angular momentum, this will lead to an optical spin torque exerted on the spin moment.

show abstract

Section: The Damping Equationsmentioning

confidence: 89%

Section: The Damping Equationsmentioning

confidence: 99%

Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz-Gilbert equation of spin dynamics

2016

View full text Add to dashboard Cite

show abstract

“…For this purpose we have measured the in-plane angle dependence of Hr in FMR. For 3d transition metals with cubic structure, anisotropy in  is very small 14,15) , thus Hr(in) is independent of in-plane angle. On the other hand, the non-Gilbert type damping shows eight-or four-fold angular dependence as described below.…”

Section: Magnetic Dampingmentioning

confidence: 99%

Ferromagnetic Resonance Study of Fe100-xCox/GaAs(001) (x ^|^lt; 11) Deposited by RF Magnetron Sputtering

et al. 2013

View full text Add to dashboard Cite

The Fe 100x Co x alloy thin films with dilute Co concentrations (x < 11) were prepared on GaAs(001) substrates by RF magnetron sputtering, and their dynamic magnetic properties were investigated by ferromagnetic resonance spectroscopy operating at Q-band (35 GHz). The magnetization curves measured by VSM show clear dependence on the in-plane field directions, indicating bcc Fe 100x Co x films were epitaxially grown on the substrates. The ferromagnetic resonance linewidths include both intrinsic and extrinsic magnetic damping. The origins of the latter were examined to extract the intrinsic damping. The estimated upper bounds of the Gilbert damping constants, caused by the intrinsic damping, depend on the Co compositions; the damping is accelerated as Co concentration increases in the region with x < 11.

show abstract

“…The occurrence of in-plane anisotropic ΔH has been widely investigated in pure metallic Fe, Co and Ni [1][2][3][4] as well as in Co 2 MnSi 5) , Fe 4 N 6) , Ni-Fe 7) and Fe-Si 8) alloy systems. As an example, the maximum and minimum ΔH of Fe 4 N pseudo single-crystal lms were determined at room temperature (RT), with the H oriented along the magnetic hard-axes (HA) and easy-axes (EA), respectively.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic FMR Linewidths in Epitaxially Grown Si-Doped <i>A</i>2-Fe Thin Films

2016

View full text Add to dashboard Cite

A series of 40 nm-thick Fe 100−x Si x (x = 0, 6 or 10 at%) single-crystal lms with an A2 phase were fabricated on MgO(001) substrates. Variations in the ferromagnetic resonant eld (H r ) and linewidth (ΔH) values with changes in the azimuthal angle (ϕ H ) were subsequently evaluated, using an electron cyclotron resonant system with X-band (9.86 GHz) microwaves at room temperature. The H r values exhibited fourfold symmetric behavior while varying the ϕ H . In addition, the ΔH values demonstrated symmetric behavior, with intense peaks in the vicinity of the magnetization hard-axis, and so the ΔH variation was reduced with increasing Si content. An analysis of the data was performed, employing the magnetization coherent rotation model. It was determined that the appearance of strong peaks can be attributed to differences between ϕ H and the magnetization angle (ϕ M ), based on the term [cos. This is believed to result from the insuf cient H r strength obtained during measurements with X-band microwaves relative to the anisotropy elds of the lms.

show abstract

Anisotropic damping of the magnetization dynamics in Ni, Co, and Fe

Cited by 91 publications

References 30 publications

Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz-Gilbert equation of spin dynamics

Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz-Gilbert equation of spin dynamics

Ferromagnetic Resonance Study of Fe100-xCox/GaAs(001) (x ^|^lt; 11) Deposited by RF Magnetron Sputtering

Anisotropic FMR Linewidths in Epitaxially Grown Si-Doped <i>A</i>2-Fe Thin Films

Contact Info

Product

Resources

About