Jpa. Charlesworth et W. Yeung, TEMPERATURE-DEPENDENCE OF THE TRANSITION-METAL MAGNETIC-SUSCEPTIBILITIES, Physical review. B, Condensed matter, 53(5), 1996, pp. 2606-2614
We present a method for calculating accurate Brillouin zone integrals
of the Lindhard function at temperatures other than absolute zero. Wit
hin the linear tetrahedron method our expression is exact for the imag
inary part and accurate to any arbitrary precision for the real part.
We apply our method to calculate the temperature-dependent contributio
n to the bulk susceptibility for a range of transition metals as a fun
ction of temperature using linear muffin-tin orbital (LMTO) bands. For
paramagnets our results follow the expected T-2 dependence. However o
ur results for ferromagnets deviate qualitatively from the quadratic l
aw. The different behavior is attributed to interband and matrix eleme
nt effects. Our results for Fe exhibit two distinct behaviors. We disc
uss the implications for calculation of anomalies arising from spin fl
uctuations.