arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.15544cond-mat.str-elcond-mat.mtrl-sci
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KO $_2$单斜畸变的起源及其对电子性质的影响

Origin of monoclinic distortion and its impact on the electronic properties in KO$_2$

Olga Sikora, Dorota Gotfryd, Andrzej Ptok, Małgorzata Sternik, Krzysztof Wohlfeld, Andrzej M. Oleś, Przemysław Piekarz

摘要:

我们使用密度泛函理论和晶格动力学计算研究的性质的超氧化钾KO $_2$,其中自旋,轨道和晶格自由度是相互关联的,并确定低温相。在计算高温四元$I4/mmm$结构中的声子色散关系后,我们确定了导致单斜$C2/c$对称性的软声子模式,并优化了由此模式产生的晶体几何形状。因此,我们揭示了一个位移字符的结构转变与群子群之间的关系的四斜和单斜相。我们比较了KO $_2$的电子结构与反铁磁自旋序在四斜晶系和单斜晶系。我们强调,现实的电子结构治疗需要包括本地库仑相互作用$U$的O $^-_2$离子的价轨道。“Hubbard”$U$的存在导致了四元结构在费米能级处的能隙开放,没有轨道有序,但具有弱的自旋-轨道相互作用。我们注意到,当轨道序在计算中以实际值$U$开始时,也可以获得在四元相中的能隙开口。最后,我们表明,局部库仑相互作用和有限的晶格畸变,这一起导致轨道顺序通过Jahn-Teller效应,负责增强绝缘间隙的单斜结构。

英文摘要:

We use the density functional theory and lattice dynamics calculations to investigate the properties of potassium superoxide KO$_2$ in which spin, orbital, and lattice degrees of freedom are interrelated and determine the low-temperature phase. After calculating phonon dispersion relations in the high-temperature tetragonal $I4/mmm$ structure, we identify a soft phonon mode leading to the monoclinic $C2/c$ symmetry and optimize the crystal geometry resulting from this mode. Thus we reveal a displacive character of the structural transition with the group-subgroup relation between the tetragonal and monoclinic phases. We compare the electronic structure of KO$_2$ with antiferromagnetic spin order in the tetragonal and monoclinic phases. We emphasize that realistic treatment of the electronic structure requires including the local Coulomb interaction $U$ in the valence orbitals of the O$^-_2$ ions. The presence of the `Hubbard' $U$ leads to the gap opening at the Fermi energy in the tetragonal structure without orbital order but with weak spin-orbit interaction. We remark that the gap opening in the tetragonal phase could also be obtained when the orbital order is initiated in the calculations with a realistic value of $U$. Finally, we show that the local Coulomb interactions and the finite lattice distortion, which together lead to the orbital order via the Jahn-Teller effect, are responsible for the enhanced insulating gap in the monoclinic structure.

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