Belozerov A S, Anisimov V I
Institute of Metal Physics, 620990 Ekaterinburg, Russia. Ural Federal University, 620990 Ekaterinburg, Russia.
J Phys Condens Matter. 2014 Sep 17;26(37):375601. doi: 10.1088/0953-8984/26/37/375601. Epub 2014 Aug 26.
We study the influence of Coulomb interaction parameters on electronic structure and magnetic properties of paramagnetic bcc Fe by means of the local density approximation plus dynamical mean-field theory approach. We consider the local Coulomb interaction in the density-density form as well as in the form with spin rotational invariance approximated by averaging over all directions of the quantization axis. Our results indicate that the magnetic properties of bcc Fe are mainly affected by the Hund's rule coupling J rather than by the Hubbard U. By employing the constrained density functional theory approach in the basis of Wannier functions of spd character, we obtain U = 4 eV and J = 0.9 eV. In spite of the widespread belief that U = 4 eV is too large for bcc Fe, our calculations with the obtained values of U and J result in a satisfactory agreement with the experiment. The correlation effects caused by U are found to be weak even for large U = 6 eV. The agreement between the calculated and experimental Curie temperatures is further improved if J is reduced to 0.8 eV. However, with the decrease of J, the effective local magnetic moment moves further away from the experimental value.
我们通过局域密度近似加动态平均场理论方法研究了库仑相互作用参数对顺磁体心立方铁的电子结构和磁性的影响。我们考虑了密度-密度形式的局域库仑相互作用以及通过对量子化轴的所有方向进行平均来近似自旋旋转不变性的形式。我们的结果表明,体心立方铁的磁性主要受洪德规则耦合J的影响,而不是哈伯德U的影响。通过在具有spd特征的万尼尔函数基础上采用约束密度泛函理论方法,我们得到U = 4 eV和J = 0.9 eV。尽管普遍认为对于体心立方铁而言U = 4 eV太大,但我们用所得到的U和J值进行的计算与实验结果达成了令人满意的一致。发现即使对于大的U = 6 eV,由U引起的关联效应也很弱。如果将J减小到0.8 eV,计算得到的居里温度与实验值之间的一致性会进一步提高。然而,随着J的减小,有效局域磁矩与实验值的偏差会进一步增大。