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arXiv 2104.10327cond-mat.mes-hallphysics.chem-ph
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自相互作用修正下的密度泛函理论计算铜基单晶分子的电子结构

Electronic Structure of Mononuclear Cu-based Molecule from Density-Functional Theory with Self-Interaction Correction

Anri Karanovich, Yoh Yamamoto, Koblar Alan Jackson, Kyungwha Park

摘要:

采用密度泛函理论(DFT)和Fermi-Löwdin轨道(FLO)自相互作用修正(SIC),研究了平面单核铜基分子[Cu(C $_6$ H $_4$ S $_2$)$_2$ ] $^z$在两种氧化态($z$ $=$ $-2$,$-$ 1)下的电子结构.双阴离子铜基分子被认为是一种很有前途的量子比特候选者。近似DFT泛函内的自相互作用误差使3个$d$轨道产生的电子和自旋密度严重离域。FLO-SIC方法依赖于费米-勒夫丁轨道描述符(FOD)的优化,利用FOD构建局部占据轨道以创建SIC势。从许多初始集合的FOD开始,我们采用FLO-SIC方法中的冻结密度循环算法来研究铜基分子。我们发现,分子的电子结构保持不变,尽管有些不同的最终FOD配置。在双阴离子态(自旋$S=1/2$),FLO-SIC自旋密度源自Cu $d$和S $p$轨道,其比例约为2:1,与多参考计算定量一致,而在无SIC DFT的情况下,轨道比是相反的。总的来说,FLO-SIC显著降低了占据轨道的能量,特别是未与配体杂化的3个$d$轨道的能量,与无SIC的DFT结果相比,这大大增加了最高占据分子轨道(HOMO)和最低未占据分子轨道(LUMO)之间的能隙。双阴离子态的FLO-SIC HOMO-LUMO能隙比单离子态的大,这与实验结果一致。我们的研究结果表明,在3 $d$元素为基础的系统内的磁交换耦合的描述的FLO-SIC方法的积极前景。

英文摘要:

We investigate the electronic structure of a planar mononuclear Cu-based molecule [Cu(C$_6$H$_4$S$_2$)$_2$]$^z$ in two oxidation states ($z$$=$$-2$, $-$1) using density-functional theory (DFT) with Fermi-Löwdin orbital (FLO) self-interaction correction (SIC). The dianionic Cu-based molecule was proposed to be a promising qubit candidate. Self-interaction error within approximate DFT functionals renders severe delocalization of electron and spin densities arising from 3$d$ orbitals. The FLO-SIC method relies on optimization of Fermi-Löwdin orbital descriptors (FODs) with which localized occupied orbitals are constructed to create the SIC potentials. Starting with many initial sets of FODs, we employ a frozen-density loop algorithm within the FLO-SIC method to study the Cu-based molecule. We find that the electronic structure of the molecule remains unchanged despite somewhat different final FOD configurations. In the dianionic state (spin $S=1/2$), FLO-SIC spin density originates from the Cu $d$ and S $p$ orbitals with an approximate ratio of 2:1, in quantitative agreement with multireference calculations, while in the case of SIC-free DFT, the orbital ratio is reversed. Overall, FLO-SIC lowers the energies of the occupied orbitals and in particular the 3$d$ orbitals unhybridized with the ligands significantly, which substantially increases the energy gap between the highest occupied molecular orbital (HOMO) and the lowest unoccupied molecular orbital (LUMO) compared to SIC-free DFT results. The FLO-SIC HOMO-LUMO gap of the dianionic state is larger than that of the monoionic state, which is consistent with experiment. Our results suggest a positive outlook of the FLO-SIC method in the description of magnetic exchange coupling within 3$d$-element based systems.

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