arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1407.6505cond-mat.str-el
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前过渡金属氧化物金属-绝缘体相变的密度泛函加动力学平均场论

Density functional plus dynamical mean field theory of the metal-insulator transition in early transition metal oxides

Hung T. Dang, Xinyuan Ai, Andrew J. Millis, Chris A. Marianetti

摘要:

结合密度泛函理论和单位点动力学平均场论,使用Hartree和全连续时间量子Monte Carlo杂质解算器,研究了钙钛矿过渡金属氧化物的金属-绝缘体相图,其形式为$AB$ O $_3$与稀土离子$A$ = Sr,La,Y和过渡金属$B$ = Ti,V,Cr。相关的子空间构造从原子一样的$d$轨道定义使用最大本地化的Wannier函数来自完整的$p$-$d$流形;为了比较,使用投影仪方法得到的结果也给出了。顺磁DFT + DMFT计算使用全电荷自洽随着标准的"完全本地化极限"(FLL)的双重计数被证明是错误的预测,LaTiO $_3$,YTiO $_3$,LaVO $_3$和SrMnO $_3$是金属。对平均$p$-$d$能量分裂、相关$d$态的占有率、双计数校正和晶格结构对物理性质的依赖性的更一般性的检查表明,即使在早期过渡金属氧化物中,电荷转移物理也很重要,并阐明了标准近似失败的潜在因素。如果选择双重计数来产生与实验光谱一致的$p$-$d$分裂,则单点动力学平均场论提供了对材料性质的合理解释。从"$d$-只"模型中的相关问题是基于前线轨道$p$-$d$反键带的结果的关系被确定。研究发现,如果适当选择有效的相互作用$U$,则$d$模型能很好地描述$d^1$和$d^2$材料的物理性质.

英文摘要:

The combination of density functional theory and single-site dynamical mean-field theory, using both Hartree and full continuous-time quantum Monte Carlo impurity solvers, is used to study the metal-insulator phase diagram of perovskite transition-metal oxides of the form $AB$O$_3$ with a rare-earth ion $A$=Sr, La, Y and transition metal $B$=Ti, V, Cr. The correlated subspace is constructed from atomiclike $d$ orbitals defined using maximally localized Wannier functions derived from the full $p$-$d$ manifold; for comparison, results obtained using a projector method are also given. Paramagnetic DFT+DMFT computations using full charge self-consistency along with the standard "fully localized limit" (FLL) double counting are shown to incorrectly predict that LaTiO$_3$, YTiO$_3$, LaVO$_3$ and SrMnO$_3$ are metals. A more general examination of the dependence of physical properties on the mean $p$-$d$ energy splitting, the occupancy of the correlated $d$ states, the double-counting correction, and the lattice structure demonstrates the importance of charge-transfer physics even in the early transition-metal oxides and elucidates the factors underlying the failure of the standard approximations. If the double counting is chosen to produce a $p$-$d$ splitting consistent with experimental spectra, single-site dynamical mean-field theory provides a reasonable account of the materials properties. The relation of the results to those obtained from "$d$-only" models in which the correlation problem is based on the frontier orbital $p$-$d$ antibonding bands is determined. It is found that if an effective interaction $U$ is properly chosen the $d$-only model provides a good account of the physics of the $d^1$ and $d^2$ materials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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