1. X-ray magnetic and natural circular dichroism from first principles: Calculation of K - and L1 -edge spectra
- Author
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Matteo Calandra, Francesco Mauri, Nadejda Bouldi, Uwe Gerstmann, Ch. Brouder, N. J. Vollmers, Ph. Sainctavit, Amélie Juhin, C. G. Delpy-Laplanche, Lorenzo Paulatto, and Yves Joly
- Subjects
Physics ,Magnetic circular dichroism ,Magnetism ,02 engineering and technology ,021001 nanoscience & nanotechnology ,7. Clean energy ,01 natural sciences ,Spin magnetic moment ,Condensed Matter::Materials Science ,Dipole ,X-ray magnetic circular dichroism ,0103 physical sciences ,Quadrupole ,Vibrational circular dichroism ,Atomic physics ,010306 general physics ,0210 nano-technology ,Circular polarization - Abstract
An efficient first principles approach to calculate X-ray magnetic circular dichroism (XMCD) and X-ray natural circular dichroism (XNCD) is developed and applied in the near edge region at the K-and L1-edges in solids. Computation of circular dichroism requires precise calculations of X-ray absorption spectra (XAS) for circularly polarized light. For the derivation of the XAS cross section, we used a relativistic description of the photon-electron interaction that results in an additional term in the cross-section that couples the electric dipole operator with an operator σ · (epsilon× r) that we name spin-position. The numerical method relies on pseudopotentials, on the gauge including projected augmented wave method and on a collinear spin relativistic description of the electronic structure. We apply the method to the calculations of K-edge XMCD spectra of ferromagnetic iron, cobalt and nickel and of I L1-edge XNCD spectra of α-LiIO3, a compound with broken inversion symmetry. For XMCD spectra we find that, even if the electric dipole term is the dominant one, the electric quadrupole term is not negligible (8% in amplitude in the case of iron). The term coupling the electric dipole operator with the spin-position operator is significant (28% in amplitude in the case of iron). We obtain a sum-rule relating this new term to the spin magnetic moment of the p-states. In α-LiIO3 we recover the expected angular dependence of the XNCD spectra.
- Published
- 2017
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