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Title: First-principles calculation of correlated electron materials based on Gutzwiller wave function beyond Gutzwiller approximation

Journal Article · · Journal of Physics. Condensed Matter

We introduce a plan that is under the framework of Gutzwiller wave function but goes beyond the commonly adopted Gutzwiller approximation to improve the accuracy and flexibility in treating the correlation effects. Detailed formalism is described for a dimer which is straightforwardly generalized later to more complicated periodic bulk systems. The accuracy of the approach is shown by evaluating the potential energy curves of spin-singlet N2 dimer, spin-triplet O2 dimer, and one-dimensional hydrogen chain. The computational workload of the approach can be easily handled by efficient parallel computing.

Research Organization:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
Grant/Contract Number:
AC02-07CH11358
OSTI ID:
1514875
Report Number(s):
IS-J--9939
Journal Information:
Journal of Physics. Condensed Matter, Journal Name: Journal of Physics. Condensed Matter Journal Issue: 33 Vol. 31; ISSN 0953-8984
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

References (76)

Multiconfigurational Quantum Chemistry book January 2016
Approximation schemes for the study of multi-band Gutzwiller wave functions: Approximation schemes for multi-band Gutzwiller wave functions journal August 2016
A complete active space SCF method (CASSCF) using a density matrix formulated super-CI approach journal May 1980
Are atoms intrinsic to molecular electronic wavefunctions? I. The FORS model journal September 1982
The density-matrix renormalization group in the age of matrix product states journal January 2011
Correlation Matrix Renormalization Theory: Improving Accuracy with Two-Electron Density-Matrix Sum Rules journal September 2016
The restricted active space self-consistent-field method, implemented with a split graph unitary group approach journal July 1990
Dimerization of carbene to ethylene journal December 1978
Correlated electrons in δ-plutonium within a dynamical mean-field picture journal April 2001
Efficient and accurate treatment of electron correlations with Correlation Matrix Renormalization theory journal August 2015
Photodissociation of singlet oxygen in the UV region journal January 2014
Geminal wave functions with Jastrow correlation: A first application to atoms journal October 2003
Molecule intrinsic minimal basis sets. I. Exact resolution of ab initio optimized molecular orbitals in terms of deformed atomic minimal-basis orbitals journal February 2004
Correlated geminal wave function for molecules: An efficient resonating valence bond approach journal October 2004
An accurate analytic potential function for ground-state N2 from a direct-potential-fit analysis of spectroscopic data journal October 2006
Full potential energy curve for N2 by the reduced multireference coupled-cluster method journal August 2008
Determinant based configuration interaction algorithms for complete and restricted configuration interaction spaces journal August 1988
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
Correlated Monte Carlo wave functions for the atoms He through Ne journal September 1990
The Jastrow antisymmetric geminal power in Hilbert space: Theory, benchmarking, and application to a novel transition state journal November 2013
First-principles calculations of the electronic structure and spectra of strongly correlated systems: the LDA + U method journal January 1997
Gutzwiller density functional theory: a formal derivation and application to ferromagnetic nickel journal September 2014
Effect of Correlation on the Ferromagnetism of Transition Metals journal May 1964
Inhomogeneous Electron Gas journal November 1964
Correlation of Electrons in a Narrow s Band journal March 1965
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
The Evaluation of the Collision Matrix journal October 1950
Many-Body Problem with Strong Forces journal June 1955
Analysis of electron-correlation effects in strongly correlated systems ( N 2 and N 2 + ) by applying the density-matrix renormalization-group method and quantum information theory journal February 2018
Application of Gutzwiller's Variational Method to the Metal-Insulator Transition journal November 1970
Gutzwiller correlated wave functions in finite dimensions d : A systematic expansion in 1/ d journal May 1990
Band theory and Mott insulators: Hubbard U instead of Stoner I journal July 1991
Optimized wave functions for quantum Monte Carlo studies of atoms and solids journal April 1996
Generalized Gutzwiller method for n⩾2 correlated bands: First-order metal-insulator transitions journal February 1997
Gutzwiller description of non-magnetic Mott insulators: Dimer lattice model journal October 2007
Equivalence of Gutzwiller and slave-boson mean-field theories for multiband Hubbard models journal November 2007
Gutzwiller density functional theory for correlated electron systems journal February 2008
Local density approximation combined with Gutzwiller method for correlated electron systems: Formalism and applications journal February 2009
Including many-body screening into self-consistent calculations: Tight-binding model studies with the Gutzwiller approximation journal June 2011
Comparative study of the electronic and magnetic properties of BaFe 2 As 2 and BaMn 2 As 2 using the Gutzwiller approximation journal December 2011
Efficient implementation of the Gutzwiller variational method journal January 2012
Correlation matrix renormalization approximation for total-energy calculations of correlated electron systems journal January 2014
Electronic origin of the volume collapse in cerium journal February 2015
Quasiparticle bands and structural phase transition of iron from Gutzwiller density-functional theory journal May 2016
Effect of Correlation on the Ferromagnetism of Transition Metals journal March 1963
Gutzwiller Density Functional Studies of FeAs-Based Superconductors: Structure Optimization and Evidence for a Three-Dimensional Fermi Surface journal January 2010
Correlated Topological Insulators with Mixed Valence journal February 2013
Computation of the Correlated Metal-Insulator Transition in Vanadium Dioxide from First Principles journal April 2015
Quantum Monte Carlo Calculations in Solids with Downfolded Hamiltonians journal June 2015
Antiferromagnetic Ground State in the s -Band Hubbard Model journal September 1975
New Functional Integral Approach to Strongly Correlated Fermi Systems: The Gutzwiller Approximation as a Saddle Point journal September 1986
Ground-state properties of correlated fermions: Exact analytic results for the Gutzwiller wave function journal July 1987
Correlation functions for Hubbard-type models: The exact results for the Gutzwiller wave function in one dimension journal September 1987
Optimized trial wave functions for quantum Monte Carlo calculations journal April 1988
Density matrix formulation for quantum renormalization groups journal November 1992
Quantum Monte Carlo of nitrogen: Atom, dimer, atomic, and molecular solids journal April 1994
Real-Time Evolution Using the Density Matrix Renormalization Group journal August 2004
Towards the Solution of the Many-Electron Problem in Real Materials: Equation of State of the Hydrogen Chain with State-of-the-Art Many-Body Methods journal September 2017
Normal He 3 : an almost localized Fermi liquid journal January 1984
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions journal January 1996
Electronic structure calculations with dynamical mean-field theory journal August 2006
Inhomogeneous Electron Gas journal March 1973
Gutzwiller Approximation for Antiferromagnetism in Hubbard Model journal February 1975
Variational study of Fermi surface deformations in Hubbard models journal April 2012
Gutzwiller description of non-magnetic Mott insulators: a dimer lattice model text January 2007
Gutzwiller density functional theory for correlated electron systems text January 2007
The density-matrix renormalization group in the age of matrix product states text January 2010
Including many-body screening into self-consistent calculations: Tight-binding model studies with the Gutzwiller approximation text January 2011
The Jastrow antisymmetric geminal power in Hilbert space: theory, benchmarking, and application to a novel transition state text January 2013
Computation of the correlated metal-insulator transition in vanadium dioxide from first principles text January 2013
Gutzwiller Density Functional Theory: a formal derivation and application to ferromagnetic nickel text January 2014
Quasi-particle bands and structural phase transition of iron from Gutzwiller Density-Functional Theory text January 2016
Towards the solution of the many-electron problem in real materials: equation of state of the hydrogen chain with state-of-the-art many-body methods text January 2017
Geminal wavefunctions with Jastrow correlation: a first application to atoms text January 2003
Real time evolution using the density matrix renormalization group text January 2004
Correlated geminal wave function for molecules: an efficient resonating valence bond approach text January 2004