On the Landau–Lifshitz relaxation in ferromagnetic metals

1970 ◽  
Vol 48 (24) ◽  
pp. 2906-2911 ◽  
Author(s):  
V. Kamberský

Scattering of ferromagnetic band-electrons by phonons combined with the spin–orbit interaction is shown to cause magnetic relaxation of the Landau–Lifshitz–Gilbert type. Two formally distinct processes are simply analyzed: (a) spin-flip scattering of electrons and (b) ordinary scattering between spin-dependent band levels. Estimates of the magnitude of the damping constant λ are derived for both cases, which agree in orders of magnitude with the experimental values for Fe and Ni. Relations of direct and inverse proportionality between λ and the ordinary collision frequency are found in the cases (a) and (b), respectively.

1958 ◽  
Vol 36 (5) ◽  
pp. 571-578 ◽  
Author(s):  
B. P. Nigam ◽  
M. K. Sundaresan

Brueckner's theory of nuclear structure has been used to estimate the spin–orbit interaction of a single nucleon interacting with the core arising from the tensor force of the two-body interaction. Using Yamaguchi's separable two-body interaction, the doublet splitting for Ca41 and O17 has been calculated (i) in the first Born approximation and (ii) with an exact solution of the reaction matrix in which the exclusion principle has been taken into account. It is found that the values of the splittings calculated exactly are smaller than the experimental values.


2013 ◽  
Vol 1505 ◽  
Author(s):  
Aditi Goswami ◽  
Yue Liu ◽  
Feilong Liu ◽  
P. Paul Ruden ◽  
Darryl L. Smith

ABSTRACTGraphene is a promising material for electronic and spintronic applications due to its high carrier mobility and low intrinsic spin-orbit interaction. However, extrinsic effects may easily dominate intrinsic scattering mechanisms. The scattering mechanisms investigated here are associated non-magnetic, charged impurities in the substrate (e.g. SiO2) beneath the graphene layer. Such impurities cause an electric field that extends through the graphene and has a non-vanishing perpendicular component. Consequently, the impurity, in addition to the conventional elastic, spin-conserving scattering can give rise to spin-flip processes. The latter is a consequence of a spatially varying Rashba spin-orbit interaction caused by the electric field of the impurity in the substrate. Scattering cross-sections are calculated and, for assumed impurity distributions, relaxation times are estimated.


Author(s):  
J. Nitta

This chapter focuses on the electron spin degree of freedom in semiconductor spintronics. In particular, the electrostatic control of the spin degree of freedom is an advantageous technology over metal-based spintronics. Spin–orbit interaction (SOI), which gives rise to an effective magnetic field. The essence of SOI is that the moving electrons in an electric field feel an effective magnetic field even without any external magnetic field. Rashba spin–orbit interaction is important since the strength is controlled by the gate voltage on top of the semiconductor’s two-dimensional electron gas. By utilizing the effective magnetic field induced by the SOI, spin generation and manipulation are possible by electrostatic ways. The origin of spin-orbit interactions in semiconductors and the electrical generation and manipulation of spins by electrical means are discussed. Long spin coherence is achieved by special spin helix state where both strengths of Rashba and Dresselhaus SOI are equal.


2019 ◽  
Vol 3 (6) ◽  
Author(s):  
J. N. Nelson ◽  
J. P. Ruf ◽  
Y. Lee ◽  
C. Zeledon ◽  
J. K. Kawasaki ◽  
...  

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