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Communication: Towards ab initio self-energy embedding theory in quantum chemistry

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4938562· OSTI ID:22493359
;  [1]
  1. Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109 (United States)

The self-energy embedding theory (SEET), in which the active space self-energy is embedded in the self-energy obtained from a perturbative method treating the non-local correlation effects, was recently developed in our group. In SEET, the double counting problem does not appear and the accuracy can be improved either by increasing the perturbation order or by enlarging the active space. This method was first calibrated for the 2D Hubbard lattice showing promising results. In this paper, we report an extension of SEET to quantum chemical ab initio Hamiltonians for applications to molecular systems. The self-consistent second-order Green’s function method is used to describe the non-local correlations, while the full configuration interaction method is carried out to capture strong correlation within the active space. Using few proof-of-concept examples, we show that SEET yields results of comparable quality to n-electron valence state second-order perturbation theory with the same active space, and furthermore, the full active space can be split into smaller active spaces without further implementation. Moreover, SEET avoids intruder states and does not require any high-order reduced density matrices. These advantages show that SEET is a promising method to describe physical and chemical properties of challenging molecules requiring large active spaces.

OSTI ID:
22493359
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 24 Vol. 143; ISSN JCPSA6; ISSN 0021-9606
Country of Publication:
United States
Language:
English

References (54)

Strong correlation treated via effective hamiltonians and perturbation theory journal January 2011
Introduction of n -electron valence states for multireference perturbation theory journal June 2001
LDA + DMFT computation of the electronic spectrum of NiO journal November 2006
High-performance ab initio density matrix renormalization group method: Applicability to large-scale multireference problems for metal compounds journal June 2009
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions journal January 1996
Communication: Active-space decomposition for molecular dimers journal July 2013
First-Principles Approach to the Electronic Structure of Strongly Correlated Systems: Combining the G W Approximation and Dynamical Mean-Field Theory journal February 2003
Importance of many body effects in the kernel of hemoglobin for ligand binding text January 2012
FLEX+DMFT approach to the d -wave superconducting phase diagram of the two-dimensional Hubbard model journal August 2015
Finite-Temperature Magnetism of Transition Metals: An ab initio Dynamical Mean-Field Theory journal July 2001
Strongly Correlated Materials: Insights From Dynamical Mean-Field Theory journal March 2004
Dynamical mean-field theory from a quantum chemical perspective journal March 2011
The Dalton quantum chemistry program system: The Dalton program
  • Aidas, Kestutis; Angeli, Celestino; Bak, Keld L.
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 4, Issue 3 https://doi.org/10.1002/wcms.1172
journal September 2013
Electronic Structure Calculations using Dynamical Mean Field Theory text January 2005
Density functional plus dynamical mean-field theory of the spin-crossover molecule Fe(phen) 2 (NCS) 2 journal June 2015
Dynamical mean-field theory using Wannier functions: a flexible route to electronic structure calculations of strongly correlated materials text January 2006
Multiconfiguration Pair-Density Functional Theory journal August 2014
Finite-Temperature Magnetism of Transition Metals: An ab initio Dynamical Mean-Field Theory text January 2001
Renormalization of myoglobin-ligand binding energetics by quantum many-body effects journal April 2014
Systematically improvable multiscale solver for correlated electron systems journal March 2015
n -electron valence state perturbation theory: A spinless formulation and an efficient implementation of the strongly contracted and of the partially contracted variants journal November 2002
Density functional versus spin-density functional and the choice of correlated subspace in multi-variable effective action theories of electronic structure preprint January 2015
Ab initio quantum chemistry using the density matrix renormalization group journal March 1999
Correlation effects in the electronic structure of the Mn 4 molecular magnet journal May 2008
Electronic structure calculations using dynamical mean field theory journal November 2007
Density functional versus spin-density functional and the choice of correlated subspace in multivariable effective action theories of electronic structure journal July 2015
Truncated Configuration Interaction expansions as solvers for correlated quantum impurity models and dynamical mean field theory text January 2012
The ORCA program system: The ORCA program system journal June 2011
Multiconfiguration Pair-Density Functional Theory: A Fully Translated Gradient Approximation and Its Performance for Transition Metal Dimers and the Spectroscopy of Re 2 Cl 8 2– journal August 2015
Fractional charge and spin errors in self-consistent Green’s function theory journal May 2015
Dynamical mean-field theory from a quantum chemical perspective text January 2010
Gaussian Basis Functions for Use in Molecular Calculations. III. Contraction of (10s6p) Atomic Basis Sets for the First‐Row Atoms journal July 1971
Systematically improvable multi-scale solver for correlated electron systems text January 2014
Dynamical mean field theory for diatomic molecules and the exact double counting journal April 2015
The restricted active space followed by second-order perturbation theory method: Theory and application to the study of CuO2 and Cu2O2 systems journal May 2008
The combination of density functional theory with multi-configuration methods – CAS-DFT journal January 2000
Electronic structure calculations with dynamical mean-field theory journal August 2006
Hubbard U and Hund exchange J in transition metal oxides: Screening versus localization trends from constrained random phase approximation journal October 2012
Development of a CAS-DFT method covering non-dynamical and dynamical electron correlation in a balanced way journal January 2005
Systematic Expansion of Active Spaces beyond the CASSCF Limit: A GASSCF/SplitGAS Benchmark Study journal June 2015
The generalized active space concept in multiconfigurational self-consistent field methods journal July 2011
Dynamical mean-field theory using Wannier functions: A flexible route to electronic structure calculations of strongly correlated materials journal September 2006
Communication: The description of strong correlation within self-consistent Green's function second-order perturbation theory journal June 2014
Combined GW and dynamical mean-field theory: Dynamical screening effects in transition metal oxides journal December 2012
Truncated configuration interaction expansions as solvers for correlated quantum impurity models and dynamical mean-field theory journal October 2012
SplitGAS Method for Strong Correlation and the Challenging Case of Cr 2 journal July 2013
Combining multideterminantal wave functions with density functionals to handle near-degeneracy in atoms and molecules journal January 2002
Importance of Many-Body Effects in the Kernel of Hemoglobin for Ligand Binding journal March 2013
Self—Consistent Molecular Orbital Methods. XII. Further Extensions of Gaussian—Type Basis Sets for Use in Molecular Orbital Studies of Organic Molecules journal March 1972
New electron correlation theories for transition metal chemistry journal January 2011
The density matrix renormalization group self-consistent field method: Orbital optimization with the density matrix renormalization group method in the active space journal April 2008
The restricted active space self-consistent-field method, implemented with a split graph unitary group approach journal July 1990
A modified definition of the zeroth-order Hamiltonian in multiconfigurational perturbation theory (CASPT2) journal September 2004
Second-order perturbation theory with a CASSCF reference function journal July 1990

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