Locally coupled open subsystems: A formalism for affordable electronic structure calculations featuring fractional charges and size consistency
Abstract
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.
- Authors:
-
- Northwestern Univ., Evanston, IL (United States)
- Publication Date:
- Research Org.:
- Northwestern Univ., Evanston, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1540228
- Alternate Identifier(s):
- OSTI ID: 1460915
- Grant/Contract Number:
- SC0004752
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 149; Journal Issue: 3; 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; Chemistry; Physics
Citation Formats
Mosquera, Martín A., Ratner, Mark A., and Schatz, George C. Locally coupled open subsystems: A formalism for affordable electronic structure calculations featuring fractional charges and size consistency. United States: N. p., 2018.
Web. doi:10.1063/1.5038557.
Mosquera, Martín A., Ratner, Mark A., & Schatz, George C. Locally coupled open subsystems: A formalism for affordable electronic structure calculations featuring fractional charges and size consistency. United States. https://doi.org/10.1063/1.5038557
Mosquera, Martín A., Ratner, Mark A., and Schatz, George C. 2018.
"Locally coupled open subsystems: A formalism for affordable electronic structure calculations featuring fractional charges and size consistency". United States. https://doi.org/10.1063/1.5038557. https://www.osti.gov/servlets/purl/1540228.
@article{osti_1540228,
title = {Locally coupled open subsystems: A formalism for affordable electronic structure calculations featuring fractional charges and size consistency},
author = {Mosquera, Martín A. and Ratner, Mark A. and Schatz, George C.},
abstractNote = {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.},
doi = {10.1063/1.5038557},
url = {https://www.osti.gov/biblio/1540228},
journal = {Journal of Chemical Physics},
issn = {0021-9606},
number = 3,
volume = 149,
place = {United States},
year = {Thu Jul 19 00:00:00 EDT 2018},
month = {Thu Jul 19 00:00:00 EDT 2018}
}
Web of Science
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