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arXiv 1902.00281cond-mat.mtrl-sci
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我们可以依赖于混合DFT能量的固态问题与本地DFT几何?

Can we rely on hybrid-DFT energies of solid-state problems with local-DFT geometries?

J. D. Gouveia, J. Coutinho

摘要:

混合泛函经常大大提高密度泛函计算的精度,特别是由能带结构产生的量。在平面波(PW)计算中,这种好处是以计算时间增加几个数量级为代价的。由于这个原因,大规模的问题内解决的PW形式主义必须依赖于预松弛的原子几何,获得更便宜的本地或半本地交换相关泛函。我们研究了这些几何结构在插入单点混合DFT计算时的适用性。基于几个案例的研究,我们发现两个重要的来源的错误源于(i)键应变和(ii)之间的过度混合缺陷和结晶状态。第一个起因于预松弛的几何形状和随后的混合DFT水平松弛后获得的几何形状之间的失配。第二种情况发生时,缺陷状态边缘低估的带隙人工混合与结晶状态,影响局部成键特性的缺陷,因此导致虚假的混合DFT能量。由于抵消效应,延迟应变对基于预松弛结构的能量差的量的误差条的贡献很小($\lesssim10$ meV)。来自状态过度混合的误差不会受益于抵消效应,并且必须谨慎地进行监测。

英文摘要:

Hybrid functionals often improve considerably the accuracy of density-functional calculations, in particular of quantities resulting from the band structure. In plane-wave (PW) calculations this benefit comes at the cost of an increase in computation time by several orders of magnitude. For this reason, large-scale problems addressed within the PW formalism have to rely on pre-relaxed atomistic geometries, obtained with cheaper local or semi-local exchange-correlation functionals. We investigate how suitable these geometries are when plugged into single-point hybrid-DFT calculations. Based on several case studies, we find two important sources of error originating from (i) bond strain and (ii) over-mixing between defect and crystalline states. The first arises from the mismatch between the pre-relaxed geometry and that obtained after a subsequent hybrid-DFT-level relaxation. The second occurs when defect states edging an underestimated band gap artificially mix with crystalline states, affecting the local bonding character of the defect, and therefore leading the spurious hybrid-DFT energies. Due to cancelation effects, the lingering strain contributes little ($\lesssim10$ meV) to the error bar of quantities based on energy differences of pre-relaxed structures. The error from state over-mixing does not benefit from cancelation effects and has to be monitored with caution.

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