arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2001.11050cond-mat.mtrl-sciphysics.chem-ph
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固体中激子的周期性运动方程耦合团簇理论

Excitons in solids from periodic equation-of-motion coupled-cluster theory

Xiao Wang, Timothy C. Berkelbach

摘要:

本文采用基于高斯的周期性运动方程耦合团簇单激发和双激发理论(EOM-CCSD)对三维固体的电子激发态进行了从头算研究。通过布里渊区采样和动量守恒实现的平移对称的明确使用是成本大幅降低的原因。我们研究的最大系统使用64个k点(4x 4x 4网格)对布里渊区进行采样,对应于640个轨道中768个电子的规范EOM-CCSD计算。我们研究了8个简单的半导体和绝缘体,直接单重态激发能在3至15 eV的范围内。我们预测的激发能表现出0.27 eV的平均绝对误差与实验相比。我们进一步计算了非零动量激子的能量,并将LiF的激子色散与非弹性X射线散射的实验数据进行了比较。通过计算应变下的激发能,我们提取流体静力学变形势,以量化激子和声学声子之间的相互作用的强度。我们的研究结果表明,耦合集团理论是一种很有前途的方法,用于精确研究各种激子现象的固体。

英文摘要:

We present an ab initio study of electronically excited states of three-dimensional solids using Gaussian-based periodic equation-of-motion coupled-cluster theory with single and double excitations (EOM-CCSD). The explicit use of translational symmetry, as implemented via Brillouin zone sampling and momentum conservation, is responsible for a large reduction in cost. Our largest system studied, which samples the Brillouin zone using 64 k-points (a 4x4x4 mesh) corresponds to a canonical EOM-CCSD calculation of 768 electrons in 640 orbitals. We study eight simple semiconductors and insulators, with direct singlet excitation energies in the range of 3 to 15 eV. Our predicted excitation energies exhibit a mean absolute error of 0.27 eV when compared to experiment. We furthermore calculate the energy of excitons with nonzero momentum and compare the exciton dispersion of LiF with experimental data from inelastic X-ray scattering. By calculating excitation energies under strain, we extract hydrostatic deformation potentials in order to quantify the strength of interactions between excitons and acoustic phonons. Our results indicate that coupled-cluster theory is a promising method for the accurate study of a variety of exciton phenomena in solids.

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