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arXiv 1104.2769cond-mat.mtrl-sci
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杂化泛函在半导体和绝缘体结构和电子性质研究中的应用

Comparative study of hybrid functionals applied to structural and electronic properties of semiconductors and insulators

Yu-ichiro Matsushita, Kazuma Nakamura, Atsushi Oshiyama

摘要:

我们提出了一个系统的研究,阐明了有效性和限制的密度泛函理论的各种半导体和绝缘体的结构和电子性质的电流杂化泛函。三个混合泛函,PBE 0 Perdew,Ernzerhof,和贝克,HSE的海德,苏塞里亚,和Ernzerhof,和一个远程校正(LC)的功能,实施在一个完善的平面波基集计划结合规范守恒赝势,从而使我们能够评估每个功能的适用性平等的基础上的材料的性能。我们在本文中研究的材料范围从共价到离子材料以及稀有气体固体,其通过实验确定的能隙在0.6 eV-14.2 eV范围内:即,Ge、Si、BaTiO $_3$、$β$-GaN、金刚石、MgO、NaCl、LiCl、Kr和LiF。我们发现,计算的体积模量的混合泛函显示更好的协议与实验比广义梯度近似(GGA)提供,而计算的晶格常数的混合泛函和GGA显示相当的精度。计算出的十种原型材料的能带隙和价带宽度显示出显着的改善,使用混合功能相比,GGA。特别是,它被发现的带隙的离子材料以及稀有气体固体的LC-混合功能很好地再现,而那些共价材料的HSE功能很好地描述。我们还研究了由于库仑相互作用的短程和长程分量的交换效应,并提出了一个最佳的配方,在治疗的交换能量的短程和长程分离。

英文摘要:

We present a systematic study that clarifies validity and limitation of current hybrid functionals in density functional theory for structural and electronic properties of various semiconductors and insulators. The three hybrid functionals, PBE0 by Perdew, Ernzerhof, and Becke, HSE by Heyd, Sucseria, and Ernzerhof, and a long-range corrected (LC) functional, are implemented in a well-established plane-wave-basis-set scheme combined with norm-conserving pseudopotentials, thus enabling us to assess applicability of each functional on equal footing to the properties of the materials. The materials we have examined in this paper range from covalent to ionic materials as well as a rare-gas solid whose energy gaps determined by experiments are in the range of 0.6 eV - 14.2 eV: i.e., Ge, Si, BaTiO$_3$, $β$-GaN, diamond, MgO, NaCl, LiCl, Kr, and LiF. We find that the calculated bulk moduli by the hybrid functionals show better agreement with the experiments than the generalized gradient approximation (GGA) provides, whereas the calculated lattice constants by the hybrid functionals and GGA show comparable accuracy. The calculated energy band gaps and the valence-band widths for the ten prototype materials show substantial improvement using the hybrid functional compared with GGA. In particular, it is found that the band gaps of the ionic materials as well as the rare-gas solid are well reproduced by the LC-hybrid functional, whereas those of covalent materials are well described by the HSE functional. We also examine exchange effects due to short-range and long-range components of the Coulomb interaction and propose an optimum recipe to the short-range and long-range separation in treating the exchange energy.

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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