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Title: Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of Kohn-Sham density functionals

Abstract

Here, we develop the gentlest ascent dynamics for Kohn-Sham density functional theory to search for the index-1 saddle points on the energy landscape of the Kohn-Sham density functionals. These stationary solutions correspond to excited states in the ground state functionals. As shown by various examples, the first excited states of many chemical systems are given by these index-1 saddle points. Our novel approach provides an alternative, more robust way to obtain these excited states, compared with the widely used ΔSCF approach. The method can be easily generalized to target higher index saddle points. Our results also reveal the physical interest and relevance of studying the Kohn-Sham energy landscape.

Authors:
ORCiD logo [1];  [1];  [2]
+ Show Author Affiliations
  1. Duke Univ., Durham, NC (United States)
  2. Duke Univ., Durham, NC (United States); South China Normal Univ., Guangzhou (China)
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC), Washington, D.C. (United States). Center for the Computational Design of Functional Layered Materials (CCDM)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1371102
Alternate Identifier(s):
OSTI ID: 1228787
Grant/Contract Number:  
SC0012575
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 143; Journal Issue: 22; Related Information: CCDM partners with Temple University (lead); Brookhaven National Laboratory; Drexel University; Duke University; North Carolina State University; Northeastern University; Princeton University; Rice University; University of Pennsylvania; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; catalysis (heterogeneous); solar (photovoltaic); energy storage (including batteries and capacitors); hydrogen and fuel cells; defects; mechanical behavior; materials and chemistry by design; synthesis (novel materials)

Citation Formats

Li, Chen, Lu, Jianfeng, and Yang, Weitao. Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of Kohn-Sham density functionals. United States: N. p., 2015. Web. doi:10.1063/1.4936411.
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Li, Chen, Lu, Jianfeng, & Yang, Weitao. Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of Kohn-Sham density functionals. United States. https://doi.org/10.1063/1.4936411
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Li, Chen, Lu, Jianfeng, and Yang, Weitao. Wed . "Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of Kohn-Sham density functionals". United States. https://doi.org/10.1063/1.4936411. https://www.osti.gov/servlets/purl/1371102.
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@article{osti_1371102,
title = {Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of Kohn-Sham density functionals},
author = {Li, Chen and Lu, Jianfeng and Yang, Weitao},
abstractNote = {Here, we develop the gentlest ascent dynamics for Kohn-Sham density functional theory to search for the index-1 saddle points on the energy landscape of the Kohn-Sham density functionals. These stationary solutions correspond to excited states in the ground state functionals. As shown by various examples, the first excited states of many chemical systems are given by these index-1 saddle points. Our novel approach provides an alternative, more robust way to obtain these excited states, compared with the widely used ΔSCF approach. The method can be easily generalized to target higher index saddle points. Our results also reveal the physical interest and relevance of studying the Kohn-Sham energy landscape.},
doi = {10.1063/1.4936411},
journal = {Journal of Chemical Physics},
number = 22,
volume = 143,
place = {United States},
year = {Wed Dec 09 00:00:00 EST 2015},
month = {Wed Dec 09 00:00:00 EST 2015}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1063/1.4936411
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Cited by: 5 works
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Figures / Tables:

FIG. 1 FIG. 1: The iteration process of HF using (a) gentlest ascent dynamics and (b) non-Aufbau $∆SCF$. The plotted function $∆E$ is the energy difference between two neighboring iterations.
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