Selection rules for oscillations of the interlayer exchange coupling as a function of ferromagnet thickness

Castro, J. d'Albuquerque e; Mathon, J.; Villeret, Murielle; Edwards, D. M.

doi:10.1103/physrevb.51.12876

Cited by 30 publications

(64 citation statements)

References 3 publications

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“…It is now well known that the magnetic layer band structure determines the osillatory behavior of the exchange coupling. 17,29 Moreover, it seems now to be doubtful that the magnetic layer thickness itself also influences the exchange coupling strongly. This conclusion is theoretically model-independent and it has been proven experimentally.…”

Section: Introductionmentioning

confidence: 97%

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Interlayer exchange coupling: Effect of magnetic and outer nonmagnetic films

Zhang

Li²,

Zhan

et al. 1998

Journal of Applied Physics

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Based on the one-band tight-binding model, we systematically investigate the interlayer exchange coupling and the angular dependence of the coupling energy in a magnetic sandwich covered on both sides by nonmagnetic films. Our results show that (i) the thickness of magnetic and outer nonmagnetic films influence significantly the oscillatory behavior of exchange coupling, (ii) the appearance of noncollinear exchange coupling is very sensitive to the thickness of magnetic and outer nonmagnetic layers, (iii) the nonoscillatory component of the coupling varies generally with the thickness of magnetic or outer nonmagnetic films, and (iv) the results in the case where the thickness of both magnetic or both outer nonmagnetic films vary simultaneously are significantly different from that in the case where the thickness of one of the two magnetic or outer nonmagnetic films is fixed while the other is varied. These results are qualitatively in agreement with the experimental measurements.

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Section: Introductionmentioning

confidence: 97%

“…14 for a sandwich structure in the approximation of parabolic electron bands. Subsequently, many authers [27][28][29] gave detailed analyses in terms of different theoretical approaches. It is now well known that the magnetic layer band structure determines the osillatory behavior of the exchange coupling.…”

Section: Introductionmentioning

confidence: 99%

Interlayer exchange coupling: Effect of magnetic and outer nonmagnetic films

Zhang

Li²,

Zhan

et al. 1998

Journal of Applied Physics

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“…For the sake of simplicity, we consider two parallel magnetic planes, labelled 0 and n, embedded in an infinite non-magnetic metal. As far as the coupling as a function of the spacer thickness is concerned, the number of magnetic planes influences only the phase and amplitude of the oscillations and does not affect the periods 13 . Since the periods are the main concern here, the restriction to two single magnetic planes does not pose any limitations on the results obtained.…”

Section: Oscillation Periodsmentioning

confidence: 99%

“…Therefore, an expression for the determinant of H is not expected to be very different from the one in Eq. (13). In fact, by considering the only two non-zero elements of the submatrices in Eq.…”

Section: A Electronic Structurementioning

confidence: 99%

Exchange coupling between magnetic layers across non-magnetic superlattices

Ferreira

1997

J. Phys.: Condens. Matter

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The oscillation periods of the interlayer exchange coupling are investigated when two magnetic layers are separated by a metallic superlattice of two distinct non-magnetic materials. In spite of the conventional behaviour of the coupling as a function of the spacer thickness, new periods arise when the coupling is looked upon as a function of the number of cells of the superlattice. The new periodicity results from the deformation of the corresponding Fermi surface, which is explicitly related to a few controllable parameters, allowing the oscillation periods to be tuned.

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“…The parameter J1 oscillates in sign with increasing spacer thickness with one or more oscillation periods [1]. It also depends on the thickness of the magnetic films [2][3][4][5]. In the latter case J1 consists of two terms, J 1 = JP') + JP°) , where JP') and JP°) are respectively the nonoscillatory and oscillatory components.…”

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confidence: 99%

Dependence of Bilinear and Biquadratic Interlayer coupling on Thickness of Magnetic Films

Barnaś

1997

Acta Phys. Pol. A

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The dependence of bilinear and biquadratic interlayer coupling on the thickness of magnetic films is analysed for a trilayer structure with specular reflection at the outer surfaces. It is shown that the oscillation periods corresponding to the case where the thickness of one of the two magnetic films is constant, while that of the second one is varied, can be different from the oscillation periods in the case where the thicknesses of both magnetic films vary simultaneously. The nonoscillatory component of the coupling parameter is shown to be weakly dependent on the thickness of the magnetic films. PACS numbers: 75.30.EtMost experimental data on the interlayer coupling in magnetic multilayers can be explained by assuming the coupling energy Ec in the form Ec = -J1 cos φ -J2 cos2φ,where φ is an angle between the magnetizations of the ferromagnetic films and J1 and J2 are the bilinear and biquadratic exchange parameters. The parameter J1 oscillates in sign with increasing spacer thickness with one or more oscillation periods [1]. It also depends on the thickness of the magnetic films [2][3][4][5]. In the latter case J1 consists of two terms, J 1 = JP') + JP°) , where JP') and JP°) are respectively the nonoscillatory and oscillatory components. On the contrary, only negative values of the parameter J2 were reported up to now. There are several physical mechanisms which can contribute to the biquadratic coupling [6]. In this paper, however, only the intrinsic mechanism [7] will be considered. The oscillatory coupling is a result of spin dependent interference of electron waves reflected from interfaces and surfaces. Therefore, the coupling parameter depends significantly on the boundary conditions at the outer surfaces of the magnetic films. In this paper we consider the case where the electrons are specularly reflected at those surfaces. When considering the dependence of the coupling parameter on the thickness of the magnetic films in a sandwich structure, one has to distinguish between the case where the thickness of one of the two magnetic films (257)

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Selection rules for oscillations of the interlayer exchange coupling as a function of ferromagnet thickness

Cited by 30 publications

References 3 publications

Interlayer exchange coupling: Effect of magnetic and outer nonmagnetic films

Interlayer exchange coupling: Effect of magnetic and outer nonmagnetic films

Exchange coupling between magnetic layers across non-magnetic superlattices

Dependence of Bilinear and Biquadratic Interlayer coupling on Thickness of Magnetic Films

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