1989
DOI: 10.1103/physrevb.39.865
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Tight-binding approach to the orbital magnetic moment and magnetocrystalline anisotropy of transition-metal monolayers

Abstract: romagnets is presented that clearly outlines the close connection between these two quantities. The theory is used to study the magnetocrystalline anisotropy in transitionmetal monolayers. The importance of the crystal-field energy and of the filling of the valence band is emphasized. For the first time the orbital contribution to the magnetization in monolayers is estimated; it is shown that it may produce an anisotropy in the magnetization of the order of 0. 1~~ per atom. A perturbative theory of magnetocrys… Show more

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Cited by 1,295 publications
(928 citation statements)
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References 19 publications
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“…Applying the deposition field along the interfacial uniaxial easy-axis produces an increase in the component of the ratio of the atomic species resolved orbital and spin magnetic moments, m l /m s , directed along the uniaxial easy axis of magnetization, whilst applying the deposition field along the uniaxial hard-axis causes a decrease, as summarized in table 3. The ratio m l /m s along the easy-axis may be taken as representative of the degree of anisotropy in the orbital magnetic moment, and hence as a measure of the magnetic anisotropy itself 27 . The spin-orbit contribution to the uniaxial magnetic anisotropy is ∆E SO ∝ −m l · m s ∼ −m l 34 ; hence the deposition field changes the maximal projection of the atomic orbital magnetic moments onto the easy-axis, which corresponds to a deposition-field-induced shift in the free-energy landscape via a modification of the contribution of the spin-orbit interaction to the total energy.…”
Section: Modification Of the Volume Uniaxial Anisotropy Termmentioning
confidence: 99%
See 1 more Smart Citation
“…Applying the deposition field along the interfacial uniaxial easy-axis produces an increase in the component of the ratio of the atomic species resolved orbital and spin magnetic moments, m l /m s , directed along the uniaxial easy axis of magnetization, whilst applying the deposition field along the uniaxial hard-axis causes a decrease, as summarized in table 3. The ratio m l /m s along the easy-axis may be taken as representative of the degree of anisotropy in the orbital magnetic moment, and hence as a measure of the magnetic anisotropy itself 27 . The spin-orbit contribution to the uniaxial magnetic anisotropy is ∆E SO ∝ −m l · m s ∼ −m l 34 ; hence the deposition field changes the maximal projection of the atomic orbital magnetic moments onto the easy-axis, which corresponds to a deposition-field-induced shift in the free-energy landscape via a modification of the contribution of the spin-orbit interaction to the total energy.…”
Section: Modification Of the Volume Uniaxial Anisotropy Termmentioning
confidence: 99%
“…For both films the ratio of orbital to spin magnetic moments are extracted using sum-rule analysis 105 , and are found to be m l /m s = 0.21 for Co, and m l /m s = 0.11 for Fe (not shown), apparently independent of the underlying semiconductor material. For a ferromagnet with only uniaxial anisotropy, m l /m s measured along the uniaxial easy axis should be proportional to the degree of anisotropy in m l , and hence to the effective uniaxial magnetic anisotropy 25,27 . However, in this case there is also a volume cubic magnetocrystalline anisotropy with similar strength to the interface induced uniaxial magnetic anisotropy: the measured anisotropy in m l is due predominantly to the magnetocrystalline anisotropy, owing to the short penetration-depth of electron-yield XMCD.…”
Section: Removal Of the Magnetoelastic Anisotropy Termmentioning
confidence: 99%
“…E so = Cξ m o /4μ B [34]. A correction factor C must be applied since the energy calculated using this expression can be up to 20 times bigger than the value measured macroscopically [29].…”
Section: B Hysteresis Loopsmentioning
confidence: 99%
“…Although the magnetocrystalline anisotropy in 3d TM magnetic metals is usually associated with the anisotropy of the orbital moment ( m o ) [34,35], the exact quantification of its energy needs to take into account other factors related to their atomic environment [30][31][32]. Our study will show that in NdCo alloys, this energy gets higher and it competes with that of the neodymium subnetwork when the cobalt magnetic moment gets more localized by bonding to neodymium, which it does without having to increase m o but increases its orbital moment to spin ratio m o /m s .…”
Section: Introductionmentioning
confidence: 99%
“…In bulk form 29 and in thin films 30 , it has a magnetization compensation temperature and a spin reorientation temperature. As the orbital moment of Dy is nearly as large as the spin moment 31 , it is expected that DyCo 5 exhibits a large perpendicular anisotropy 32 , which qualifies it as a robust pinning layer. Owing to the vanishing orbital moment of Gd, the perpendicular magnetic anisotropy of Fe 76 Gd 24 (FeGd) is weak.…”
mentioning
confidence: 99%