arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.12435cond-mat.mtrl-scicond-mat.str-el
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GaTa $_4$ Se $_8$的晶体和电子结构的第一性原理计算

Crystal and Electronic Structure of GaTa$_4$Se$_8$ From First-Principle Calculations

Shuai Zhang, Tiantian Zhang, Hongshan Deng, Yang Ding, Yue Chen, Hongming Weng

摘要:

GaTa $_4$ Se $_8$属于多孔尖晶石族。尽管人们对它的一些新性质,如莫特绝缘体相和高压超导性等进行了深入的研究,但它的晶体结构仍然是一个谜。通过第一性原理计算研究了它的声子谱,并提出它很可能存在晶体结构的相变,这与一些实验观测结果相一致。对于立方对称的原型尖晶石结构,空间群为$F\bar{4}3m$,其声子谱在整个布里渊区具有三个软模,表明这种晶体结构具有很强的动力学不稳定性。为了找到动态稳定的晶体结构,进一步计算了GaTa $_4$ Se $_8$的两种新结构,分别对应于$R3m$和$P\bar{4}2_{1}m$,证实了在常压下,当温度降低时,GaTa $_4$ Se $_8$确实存在从$F\bar{4}3m$到其它结构的结构相变.我们还对$R3m$和$P\bar{4}2_{1}m$结构进行了电子结构计算,结果表明$P\bar{4}2_{1}m$结构GaTa $_4$ Se $_8$是带绝缘体,并在单带Hubbard模型下通过DMFT计算得到了当相互作用参数U大于0.40 eV vs.带宽为0.25 eV时,$R3m$结构的莫特绝缘体态.合理的假设是,在降低温度时,$F\bar{4}3m$结构GaTa $_4$ Se $_8$首先变为$R3m$结构GaTa $_4$ Se $_8$,然后变为$P\bar{4}2_{1}m$结构GaTa $_4$ Se $_8$,这是因为经过Jahn-Teller畸变后,$P\bar{4}2_{1}m$的对称性低于$R3m$。结构转变可以解释低温磁化率反常现象。

英文摘要:

GaTa$_4$Se$_8$ belongs to the lacunar spinel family. Its crystal structures is still a puzzle though there have been intensive studies on its novel properties, such as the Mott insulator phase and superconductivity under pressure. In this work, we investigate its phonon spectra through first-principle calculations and proposed it most probably has crystal structure phase transition, which is consistent with several experimental observations. For the prototype lacunar spinel with cubic symmetry of space group $F\bar{4}3m$, its phonon spectra have three soft modes in the whole Brillouin zone, indicating the strong dynamical instability of such crystal structure. In order to find the dynamically stable crystal structure, further calculations indicate two new structures of GaTa$_4$Se$_8$, corresponding to $R3m$ and $P\bar{4}2_{1}m$, verifying that at the ambient pressure, there does exist structure phase transition of GaTa$_4$Se$_8$ from $F\bar{4}3m$ to other structures when the temperature is lowered. We also performed electronic structure calculation for $R3m$ and $P\bar{4}2_{1}m$ structure, showing that $P\bar{4}2_{1}m$ structure GaTa$_4$Se$_8$ is band insulator, and obtained Mott insulator state for $R3m$ structure by DMFT calculation under single-band Hubbard model picture when interaction parameter U is larger than 0.40 eV vs. band width of 0.25 eV. It is reasonable to assume that while lowering the temperature, $F\bar{4}3m$ structure GaTa$_4$Se$_8$ becomes $R3m$ structure GaTa$_4$Se$_8$ first, then $P\bar{4}2_{1}m$ structure GaTa$_4$Se$_8$, because of the symmetry of $P\bar{4}2_{1}m$ is lower than $R3m$ after Jahn-Teller distortion. The structure transition may explain the magnetic susceptibility anomalous at low temperature.

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