Antiparallel coupling between Fe layers separated by a Cr interlayer: Dependence of the magnetization on the film thickness

Carbone, C.; Sf, Alvarado

doi:10.1103/physrevb.36.2433

Cited by 179 publications

(31 citation statements)

References 8 publications

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“…Eminent examples are given by the giant magnetoresistance (GMR) effect 3,4,5 and the interlayer exchange coupling in magnetic multilayers 6,7,8 . The interlayer exchange coupling is explained in the context of Ruderman-KittelKasuya-Yosida (RKKY) interaction 9,10 , equivalently, or in terms of spin-dependent electron confinement 11,12 .…”

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confidence: 99%

Twisted exchange interaction between localized spins embedded in a one- or two-dimensional electron gas with Rashba spin-orbit coupling

2004

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We study theoretically the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in one-and twodimensions in presence of a Rashba spin-orbit (SO) coupling. We show that rotation of the spin of conduction electrons due to SO coupling causes a twisted RKKY interaction between localized spins which consists of three different terms: Heisenberg, Dzyaloshinsky-Moriya, and Ising interactions. We also show that the effective spin Hamiltonian reduces to the usual RKKY interaction Hamiltonian in the twisted spin space where the spin quantization axis of one localized spin is rotated.There has been a great deal of interest in the field of spintronics where spin degrees of freedom of electrons are manipulated to produce a desirable outcome 1,2 . Eminent examples are given by the giant magnetoresistance (GMR) effect 3,4,5 and the interlayer exchange coupling in magnetic multilayers 6,7,8 . The interlayer exchange coupling is explained in the context of Ruderman-KittelKasuya-Yosida (RKKY) interaction 9,10 , equivalently, or in terms of spin-dependent electron confinement 11,12 . The RKKY interaction is an indirect exchange interaction between two localized spins via the spin polarization of conduction electrons 13,14,15,16 .Recently, much attention has been focused on the effect of the Rashba spin-orbit (SO) coupling in twodimensional electron gases (2DEG) 17 . Investigation of the Rashba effect of 2DEG in semiconductor heterostructures has been stimulated by the proposition of a spin field effect transistor 18 . It has been established the Rashba SO coupling can be controlled by means of a gate voltage 19,20,21,22 . The Rashba effect has also been observed in 2DEG formed from surface states electrons at metal surfaces such as Au (111) 23,24,25,26,27 , Li/W(110) or Li/Mo(110) 28 . It has also been found that confinement of the surface state due to atomic steps on vicinal surfaces leads to quasi one-dimensional (1D) surface states, which also exhibit the Rashba effect 29,30,31 .Usually the RKKY interaction yields a parallel or antiparallel coupling of localized spins (Heisenberg coupling). However, if spin of conduction electrons precesses due to the spin-orbit coupling, it can be possible to produce a non-collinear Dzyaloshinsky-Moriya (DM) coupling of localized spins 32,33,34 . In this paper, we investigate the RKKY coupling between localized spins embedded in a 1D-or 2DEG with Rashba SO coupling. We show that rotation of the spin of conduction electrons due to the Rashba SO coupling causes a twisted RKKY interaction between localized spins which consists of three different terms: Heisenberg, Dzyaloshinsky-Moriya, and Ising interactions. We point out that a perturbative treatment of the SO coupling as is usually done 32,33,34 is valid only for small distances between the localized spins; in this case the DM and Ising terms are respectively linear and quadratic with respect to the SO coupling strength. In the limit of large distances, a non-perturbative treatment of the SO coupling is necessary, and one obtains DM and Ising terms...

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confidence: 99%

Twisted exchange interaction between localized spins embedded in a one- or two-dimensional electron gas with Rashba spin-orbit coupling

2004

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“…Instead, b and c are effectiυe parameters that depend on the exchange coupling JAB across the interface. These conclusions may be relevant to some recent experimental studies [18,19,26,27] of bilayer stuctures consisting of two Fe films that are exchange coupled through a Cr interlayer, including some cases where the magnetization directions are canted. For example, for an appropriate thickness of Cr, the effective exchange coupling across the interface between the two Fe films is observed to be antiferromagnetic giving δ = 180°.…”

Section: Effective Interface Coupling and Pinningmentioning

confidence: 86%

“…In particular, the spin-wave properties of magnetic multilayers have attracted a considerable amount of theoretical interest for various different geometries and magnetic models (e.g., [2][3][4][5][6][7][8]). On the experimental side the studies of spin waves in multilayers have included using ferromagnetic resonance [9][10][11], spin-wave resonance [12,13], light scattering [14][15][16][17], and spin-polarized low-energy electron diffraction [18,19].…”

Section: Introductionmentioning

confidence: 99%

Interface Effective Pinning and Dynamical Coupling of Spin Waves in Bilayer Ferromagnetic Films with Canted Magnetizations

Puszkarski

Cottam

1991

Acta Phys. Pol. A

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We present a theory for the spin-wave excitations in bilayer magnetic systems with exchange coupling across the interface between two ferromagnetic films having the same crystallographic structure. The Hamiltonian includes exchange and anisotropy terms within each magnetic film of the composite system, as well as at the interface and at the free surfaces. We examine, in particular, the effect of interface canting between the magnetization directions for each film, and we derive effective pinning parameters and dynamic coupling parameters for the interface as functions of the canting angle. We show that, in the special case when the magnetization directions are antiparal lel in the bilayer system, the two films may be considered as effectively decoupled as regards the spin-wave dynamics. We discuss the relevance of this theory to recent experimental studies of bilayer ferromagnetic systems that exhibit antiferromagnetic interface exchange.

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“…Although the magnon spectum was studied previously in the above system [4], no such work has appeared (to our knowledge) for the more elementary system formed by a bilayer with antiferromagnetic coupling. This system is interesting by itself and has already been approached from the experimental point of view [6][7]. It is also interesting as the elementary brick for more complex composite magnetic systems.…”

Section: Introductionmentioning

confidence: 99%

On the Magnon Spectrum of Antiferromagnetically Aligned Bilayer Films

Puszkarski

Kołodziejczak

Akjouj³

et al. 1993

Acta Phys. Pol. A

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We deal with spin-wave propagation in two antiferromagnetically aligned sublayers forming one bilayer film owing to the antiferromagnetic exchange coupling assumed to exist at the film interface. We get the following picture:as the spin wave traverses the interface, the creation of a spin-reversal in the one sublayer becomes an annihilation in the other sublayer. This feature is expressed by the non-conventional type of normalization condition of the spin-wave amplitudes.

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Antiparallel coupling between Fe layers separated by a Cr interlayer: Dependence of the magnetization on the film thickness

Cited by 179 publications

References 8 publications

Twisted exchange interaction between localized spins embedded in a one- or two-dimensional electron gas with Rashba spin-orbit coupling

Twisted exchange interaction between localized spins embedded in a one- or two-dimensional electron gas with Rashba spin-orbit coupling

Interface Effective Pinning and Dynamical Coupling of Spin Waves in Bilayer Ferromagnetic Films with Canted Magnetizations

On the Magnon Spectrum of Antiferromagnetically Aligned Bilayer Films

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