Magnetic anisotropy of ferromagnetic metals in low-symmetry systems

Abstract

We have constructed an analytic formula to treat the perpendicular magnetic anisotropy energy in ferromagnetic metals with low symmetry, such as C4V and C3V. We find that the anisotropy energy is proportional to a part of the expectation values of the orbital angular momentum and magnetic dipole operator. Although the result is similar to the model proposed by Laan [J. Phys.: Condens. Matter 10, 3239 (1998)], we have derived a concrete expression for the spin-flip virtual excitation process term, which can be dominant in atoms with small magnetic moments and/or small exchange splitting. Pt monatomic layer with proximity-induced spin polarization grown on Fe is an example of this. Other multilayer systems such as Co/Pd and Co/Ni and bilayer systems such as Fe(CoB)/MgO can be discussed similarly. Moreover, the relation between perpendicular magnetic anisotropy energy and measurable physical parameters is discussed based on X-ray magnetic circular dichroism spectroscopy.

References in corpus (4)

• First-principles investigation of the very large Perpendicular Magnetic Anisotropy at Fe|MgO Interfaces
• Anatomy and giant enhancement of the perpendicular magnetic anisotropy of cobalt-graphene heterostructures
• Electric-field-induced changes of magnetic moments and magnetocrystalline anisotropy in ultrathin cobalt films
• Perpendicular magnetic anisotropy at the Fe/MgAl${}_2$O${}_4$ interface: Comparative first-principles study with Fe/MgO

Cited by in corpus (5)

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• Leveraging Voltage-Controlled Magnetic Anisotropy to Solve Sneak Path Issues in Crossbar Arrays
• Magnetic moment orientation and in depth distribution of dysprosium near the surface of DyCo${}_{4.6}$ thin films determined by the analysis of their X ray circularly polarized absorption Dy $M_5$ spectra
• Fe contribution to the magnetic anisotropy of $L{1}_0$-ordered FePt thin films studied by angle-dependent x-ray magnetic circular dichroism