Linear-Response Time-Dependent Density Functional Theory with Stochastic Range-Separated Hybrids

Xu Zhang*, Gang Lu, Roi Baer, Eran Rabani, Daniel Neuhauser

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


Generalized Kohn-Sham density functional theory is a popular computational tool for the ground state of extended systems, particularly within range-separated hybrid (RSH) functionals that capture the long-range electronic interaction. Unfortunately, the heavy computational cost of the nonlocal exchange operator in RSH-DFT usually confines the approach to systems with at most a few hundred electrons. A significant reduction in the computational cost is achieved by representing the density matrix with stochastic orbitals and a stochastic decomposition of the Coulomb convolution (J. Phys. Chem. A 2016, 120, 3071). Here, we extend the stochastic RSH approach to excited states within the framework of linear-response generalized Kohn-Sham time-dependent density functional theory (GKS-TDDFT) based on the plane-wave basis. As a validation of the stochastic GKS-TDDFT method, the excitation energies of small molecules N2 and CO are calculated and compared to the deterministic results. The computational efficiency of the stochastic method is demonstrated with a two-dimensional MoS2 sheet (â¼1500 electrons), whose excitation energy, exciton charge density, and (excited state) geometric relaxation are determined in the absence and presence of a point defect.

Original languageAmerican English
Pages (from-to)1064-1072
Number of pages9
JournalJournal of Chemical Theory and Computation
Issue number2
StatePublished - 11 Feb 2020

Bibliographical note

Publisher Copyright:
Copyright © 2020 American Chemical Society.


Dive into the research topics of 'Linear-Response Time-Dependent Density Functional Theory with Stochastic Range-Separated Hybrids'. Together they form a unique fingerprint.

Cite this