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A systematic study is performed by the {\it ab-initio} density functionaltheory of the anisotropy of the orbital moments $<l_z>$ and the magnetic dipoleterm $<T_z>$ in bulk ${\rm CrO_2}$. Two different band-structure techniques areused (FLAPW and LMTO-ASA), and the electronic correlations are treated by thelocal-spin-density approximation (LSDA), the LSDA+ orbital polarization method,and the LSDA+$U$ method. The calculated anisotropies of $<l_z>$ and $<T_z>$ arevery large compared to Fe, Ni and Co but still a factor of 5 and 2 smaller thanthe anisotropies obtained from a recently suggested analysis of the X-raymagnetic circular dichroism spectra for a thick layer of ${\rm CrO_2}$

physical review. b, condensed matter and materials physics

Anisotropy of orbital moments and magnetic dipole term<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>z</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CrO</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>:</mml:mo></…

Anisotropy of orbital moments and magnetic dipole termTzinCrO2: