skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Locally coupled open subsystems: A formalism for affordable electronic structure calculations featuring fractional charges and size consistency

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.5038557· OSTI ID:1540228

This manuscript introduces a methodology (within the Born-Oppenheimer picture) to compute electronic ground-state properties of molecules and solids/surfaces with fractionally occupied components. Given a user-defined division of the molecule into subsystems, our theory uses an auxiliary global Hamiltonian that is defined as the sum of subsystem Hamiltonians, plus the spatial integral of a second-quantized local operator that allows the electrons to be transferred between subsystems. This electron transfer operator depends on a local potential that can be determined using density functional approximations and/or other techniques such as machine learning. The present framework employs superpositions of tensor-product wave functions, which can satisfy size consistency and avoid spurious fractional charges at large bond distances. The electronic population of each subsystem is in general a positive real number and is obtained from wave-function amplitudes, which are calculated by means of ground-state matrix diagonalization (or matrix propagation in the time-dependent case). Furthermore, our method can provide pathways to explore charge-transfer effects in environments where dividing the molecule into subsystems is convenient and to develop computationally affordable electronic structure algorithms.

Research Organization:
Northwestern Univ., Evanston, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0004752
OSTI ID:
1540228
Alternate ID(s):
OSTI ID: 1460915
Journal Information:
Journal of Chemical Physics, Vol. 149, Issue 3; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

References (33)

Quantum Embedding Theories journal November 2016
Nonadditive kinetic potentials from inverted Kohn-Sham problem journal June 2017
Ab initio density functional theory: OEP-MBPT(2). A new orbital-dependent correlation functional journal March 2002
Ab initio DFT: Getting the right answer for the right reason journal October 2006
Embedded Correlated Wavefunction Schemes: Theory and Applications journal May 2014
Embedding a multideterminantal wave function in an orbital-free environment journal January 2008
Modelling charge transfer reactions with the frozen density embedding formalism journal December 2011
Charge-transfer in Symmetry-Adapted Perturbation Theory journal April 2009
Ab initio DFT and its role in electronic structure theory journal November 2010
Using the Constrained DFT Approach in Generating Diabatic Surfaces and Off Diagonal Empirical Valence Bond Terms for Modeling Reactions in Condensed Phases journal October 2006
Voronoi deformation density (VDD) charges: Assessment of the Mulliken, Bader, Hirshfeld, Weinhold, and VDD methods for charge analysis journal January 2003
eQE: An open-source density functional embedding theory code for the condensed phase: GENOVA et al. journal May 2017
A Simple, Exact Density-Functional-Theory Embedding Scheme journal July 2012
Density Functional Partition Theory with Fractional Occupations journal March 2009
An accurate and linear-scaling method for calculating charge-transfer excitation energies and diabatic couplings journal February 2013
Ab Initio Frozen Density Functional Calculations of Proton Transfer Reactions in Solution journal January 1996
Partition density functional theory and its extension to the spin-polarized case journal October 2012
NBO 6.0 : Natural bond orbital analysis program journal March 2013
Symmetry-adapted perturbation theory utilizing density functional description of monomers for high-spin open-shell complexes journal August 2008
Advances in molecular quantum chemistry contained in the Q-Chem 4 program package journal September 2014
Charge Transfer from Regularized Symmetry-Adapted Perturbation Theory journal November 2013
NWChem: A comprehensive and scalable open-source solution for large scale molecular simulations journal September 2010
Perturbation Theory Approach to Intermolecular Potential Energy Surfaces of van der Waals Complexes journal November 1994
Constrained Density Functional Theory journal November 2011
Ground-State Charge Transfer: Lithium–Benzene and the Role of Hartree–Fock Exchange journal October 2016
Insights into Current Limitations of Density Functional Theory journal August 2008
Frozen-Density Embedding Strategy for Multilevel Simulations of Electronic Structure journal April 2015
The exchange-correlation potential in ab initio density functional theory journal January 2005
Potential-functional embedding theory for molecules and materials journal November 2011
Direct calculation of electron density in density-functional theory journal March 1991
Computational exploration of copper catalyzed vinylogous aerobic oxidation of unsaturated compounds journal January 2021
An Accurate and Linear Scaling Method to Calculate Charge-Transfer Excitation Energies and Diabatic Couplings text January 2012
Quantum embedding theories text January 2016

Similar Records

Development of formalisms based on locally coupled open subsystems for calculations in molecular electronic structure and dynamics
Journal Article · Wed Dec 05 00:00:00 EST 2018 · Physical Review A · OSTI ID:1540228

Quantum embedding for material chemistry based on domain separation and open subsystems
Journal Article · Mon Feb 17 00:00:00 EST 2020 · International Journal of Quantum Chemistry · OSTI ID:1540228

Born-Oppenheimer molecular-dynamics simulations of finite systems: Structure and dynamics of (H[sub 2]O)[sub 2]
Journal Article · Thu Jul 15 00:00:00 EDT 1993 · Physical Review, B: Condensed Matter; (United States) · OSTI ID:1540228