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arXiv 2005.09886cond-mat.mtrl-sci
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交换耦合常数第一性原理计算的单点正交化

Single-site orthogonalization for first-principles computations of exchange coupling constants

Asako Terasawa, Sonju Kou, Taisuke Ozaki, Yoshihiro Gohda

摘要:

为了精确计算交换耦合常数$J_{ij}$的第一性原理方法,我们开发了一个计划,使用单点正交化(SO)。在非正交(NO)计划,其中的基集被用来计算$J_{ij}$没有修改,和Löwdin正交化(LO)计划相比,SO计划表现出更少的依赖$J_{ij}$的基集的选择。SO方案实现了$J_{ij}$的bcc Fe,hcp Co,和fcc Ni的基组的数目的增加,而NO和LO方案的结果取决于基组的波动。SO方案的这种改进归因于消除了轨道重叠,避免了定义不清的单点有效势。通过引入适当的自旋布居数,我们进一步改进了SO方案,使得自旋布居数标度(SOS)的SO方案能够提供过渡金属的收敛居里温度。此外,负的$J_{ij}$的dhcp Nd和菱面体Sm的SOS方案得到的值可以与实验发现的磁序,不能再现由正组的$J_{ij}$。

英文摘要:

For accurate first-principles computations of exchange coupling constants $J_{ij}$ by the Liechtenstein method with localized basis sets, we developed a scheme using the single-site orthogonalization (SO). In contrast to the non-orthogonal (NO) scheme, where the basis set is used to compute $J_{ij}$ without modification, and the Löwdin orthogonalization (LO) scheme, the SO scheme exhibits much less dependence of $J_{ij}$ on the choice of the basis set. The SO scheme achieves convergence of $J_{ij}$ for bcc Fe, hcp Co, and fcc Ni with an increase in the number of the basis set, while the NO and LO schemes result in the fluctuation depending on the basis set. This improvement by the SO scheme is attributed to the removal of orbital overlaps with avoiding ill-defined single-site effective potentials. We further improve the SO scheme by introducing appropriate spin population, so that the SO with spin-population scaling (SOS) scheme can provide converged Curie temperatures for transition metals. Moreover, negative values of $J_{ij}$ for dhcp Nd and rhombohedral Sm obtained by the SOS scheme can coincide with the experimentally-found magnetic order that cannot be reproduced by positive sets of $J_{ij}$.

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