arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2006.06308cond-mat.mtrl-sciphysics.chem-phphysics.comp-ph
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GW时空方法:固态氢的能带隙

GW space-time method: Energy band-gap of solid hydrogen

King's College London(伦敦国王学院);Imperial College London(帝国理工学院);University of Zurich(苏黎世大学);University of Warwick(华威大学)

Sam Azadi, Arkadiy Davydov, Evgeny Kozik

AI总结:

本文提出有限温度GW时空方法,用切比雪夫多项式在实空间和虚时间表示G和W,通过硅和锗验证后计算六方固态氢带隙,结果表明270 GPa以上固态氢不能采用hcp结构,并为图解蒙特卡洛扩展奠定基础。

摘要:

我们在有限温度下实现了GW时空方法,其中格林函数G和屏蔽库仑相互作用W在合适的网格上以实空间表示,并在虚时间上以切比雪夫多项式表示,特别关注控制该表示的系统误差。通过将这一技术规范地应用于硅和锗进行验证后,我们将其应用于六方固态氢的带隙计算,其中裸格林函数由密度泛函近似获得,相互作用在随机相近似(RPA)内进行屏蔽。带隙结果由完整格林函数的渐近衰减获得,无需借助解析延拓,表明270 GPa以上的固态氢不能采用六方密排(hcp)结构。该方法所展示的以足够精度在内存中存储完整G和W函数的能力,对于其后续通过图解蒙特卡洛算法扩展到包含图解级数高阶项至关重要。

英文摘要:

We implement the GW space-time method at finite temperatures, in which the Green's function G and the screened Coulomb interaction W are represented in the real space on a suitable mesh and in imaginary time in terms of Chebyshev polynomials, paying particular attention to controlling systematic errors of the representation. Having validated the technique by the canonical application to silicon and germanium, we apply it to calculation of band gaps in hexagonal solid hydrogen with the bare Green's function obtained from density functional approximation and the interaction screened within the random phase approximation (RPA). The band gap results, obtained from the asymptotic decay of the full Green's function without resorting to analytic continuation, suggest that the solid hydrogen above 270 GPa can not adopt the hexagonal-closed-pack (hcp) structure. The demonstrated ability of the method to store the full G and W functions in memory with sufficient accuracy is crucial for its subsequent extensions to include higher orders of the diagrammatic series by means of diagrammatic Monte Carlo algorithms.

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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