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使用平面波基组对非厄米转相关哈密顿量进行迭代对角化:应用于具有深芯态的sp电子系统。

Iterative diagonalization of the non-Hermitian transcorrelated Hamiltonian using a plane-wave basis set: Application to sp-electron systems with deep core states.

作者信息

Ochi Masayuki, Yamamoto Yoshiyuki, Arita Ryotaro, Tsuneyuki Shinji

机构信息

RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan.

Department of Physics, The University of Tokyo, Hongo, Bunkyo, Tokyo 113-0033, Japan.

出版信息

J Chem Phys. 2016 Mar 14;144(10):104109. doi: 10.1063/1.4943117.

DOI:10.1063/1.4943117
PMID:26979683
Abstract

We develop an iterative diagonalization scheme in solving a one-body self-consistent-field equation in the transcorrelated (TC) method using a plane-wave basis set. Non-Hermiticity in the TC method is well handled with a block-Davidson algorithm. We verify that the required computational cost is efficiently reduced by our algorithm. In addition, we apply our plane-wave-basis TC calculation to some simple sp-electron systems with deep core states to elucidate an impact of the pseudopotential approximation to the calculated band structures. We find that a position of the deep valence bands is improved by an explicit inclusion of core states, but an overall band structure is consistent with a regular setup that includes core states into the pseudopotentials. This study offers an important understanding for the future application of the TC method to strongly correlated solids.

摘要

我们开发了一种迭代对角化方案,用于在使用平面波基组的超越相关(TC)方法中求解一体自洽场方程。通过块戴维森算法可以很好地处理TC方法中的非厄米性。我们验证了我们的算法有效地降低了所需的计算成本。此外,我们将平面波基TC计算应用于一些具有深芯态的简单sp电子系统,以阐明赝势近似对计算能带结构的影响。我们发现,通过明确包含芯态,深价带的位置得到了改善,但整体能带结构与将芯态包含在赝势中的常规设置一致。这项研究为TC方法未来应用于强关联固体提供了重要的认识。

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