2018
DOI: 10.1103/physrevb.97.014434
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Inhomogeneous perpendicular magnetic anisotropy as a source of higher-order quasistatic and dynamic anisotropies

Abstract: We investigate the influence of lateral variations of the second-order perpendicular anisotropy in thin films on the effective anisotropies required to represent this structure using a macrospin approximation. Second-order and fourth-order effective anisotropies are required for the macrospin approximation. In the case of quasi-static calculations, the fourth-order effective anisotropy is closely linked to deviations of the average magnetization angle from the field direction and lateral variations of the magn… Show more

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Cited by 14 publications
(3 citation statements)
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“…SIII [42] and Refs. [23,[63][64][65][66][67][68][69][70][71], we first discuss our measurement methodology, and a commonly used model for analyzing the data (the Ellipse Model, see Sec. SIII.A), which arises from a basic understanding of magnetic anisotropy.…”
Section: Vcma In Stoࢨco(pt)ࢨptmentioning
confidence: 99%
“…SIII [42] and Refs. [23,[63][64][65][66][67][68][69][70][71], we first discuss our measurement methodology, and a commonly used model for analyzing the data (the Ellipse Model, see Sec. SIII.A), which arises from a basic understanding of magnetic anisotropy.…”
Section: Vcma In Stoࢨco(pt)ࢨptmentioning
confidence: 99%
“…3b along with the corresponding micromagnetic calculations to be discussed below. Micromagnetic calculations.-We used our MATLAB based finite differences code M 3 [28,29]. The code implements the Dzyaloshinskii-Moriya interaction for thin films and the corresponding boundary conditions [30] together with the exchange interaction for micromagnetics [31].…”
mentioning
confidence: 99%
“…Based on these findings, we conclude that significant K 2 are not of intrinsic origin in MgO-based interfaces and its emergence should be attributed to extrinsic mechanisms. In particular, fluctuations of interfacial PMA were pointed out by experiments [28] and modeled analytically [26] or by macrospin approximation [31] giving rise to significant K 2 values. Thus, in order to address the temperature dependence of magnetic anisotropy, we exclude K 2 from the atomistic spin Hamiltonian.…”
Section: K1 and K2 Evaluation From First-principlesmentioning
confidence: 99%