Title: Importance of charge self-consistency in first-principles description of strongly correlated systems

Journal Article · · npj Computational Materials

First-principles approaches have been successful in solving many-body Hamiltonians for real materials to an extent when correlations are weak or moderate. As the electronic correlations become stronger often embedding methods based on first-principles approaches are used to better treat the correlations by solving a suitably chosen many-body Hamiltonian with a higher level theory. The success of such embedding theories, often referred to as second-principles, is commonly measured by the quality of self-energy Σ which is either a function of energy or momentum or both. However, Σ should, in principle, also modify the electronic eigenfunctions and thus change the real space charge distribution. While such practices are not prevalent, some works that use embedding techniques do take into account these effects. In such cases, choice of partitioning, of the parameters defining the correlated Hamiltonian, of double-counting corrections, and the adequacy of low-level Hamiltonian hosting the correlated subspace hinder a systematic and unambiguous understanding of such effects. Further, for a large variety of correlated systems, strong correlations are largely confined to the charge sector. Then an adequate nonlocal low-order theory is important, and the high-order local correlations embedding contributes become redundant. Here we study the impact of charge self-consistency within two example cases, TiSe2 and CrBr3, and show how real space charge re-distribution due to correlation effects taken into account within a first-principles Green’s function-based many-body perturbative approach is key in driving qualitative changes to the final electronic structure of these materials.

Research Organization:
National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC36-08GO28308
OSTI ID:
1839380
Report Number(s):
NREL/JA-5F00-81840; MainId:82613; UUID:92776787-187b-4a58-af09-6e672fbd1661; MainAdminID:63581
Journal Information:
npj Computational Materials, Journal Name: npj Computational Materials Journal Issue: 1 Vol. 7; ISSN 2057-3960
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

References (68)

Time-dependent density functional theory within the Tamm–Dancoff approximation journal December 1999
Charge self-consistent dynamical mean-field theory based on the full-potential linear muffin-tin orbital method: Methodology and applications journal April 2012
Questaal: A package of electronic structure methods based on the linear muffin-tin orbital technique journal April 2020
The Kondo Problem to Heavy Fermions book January 1993
Benchmark of GW Approaches for the GW 100 Test Set journal September 2016
Direct Photoluminescence Probing of Ferromagnetism in Monolayer Two-Dimensional CrBr 3 journal March 2019
Exciton-Plasmon States in Nanoscale Materials: Breakdown of the Tamm−Dancoff Approximation journal August 2009
Magneto-optical response of chromium trihalide monolayers: chemical trends journal January 2020
Density functionals from many-body perturbation theory: The band gap for semiconductors and insulators journal April 2006
Electronic structure calculations using dynamical mean field theory journal November 2007
The GW method journal March 1998
Suppression and emergence of charge-density waves at the surfaces of layered 1 T -TiSe 2 and 1 T -TaS 2 by in situ Rb deposition journal December 2010
Ground-State Energy of a Many-Fermion System. II journal June 1960
Conservation Laws and Correlation Functions journal October 1961
Inhomogeneous Electron Gas journal November 1964
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Electronic structure of chromium trihalides beyond density functional theory journal October 2021
Linear methods in band theory journal October 1975
Electronic properties and superlattice formation in the semimetal TiSe 2 journal November 1976
Ti Se 2 : Semiconductor, semimetal, or excitonic insulator journal February 1978
Experimental band structure of 1T - TiSe 2 in the normal and charge-density-wave phases journal June 1985
Self-consistent GW and higher-order calculations of electron states in metals journal September 1996
Fully self-consistent GW self-energy of the electron gas journal January 1998
Ab initio calculations of quasiparticle band structure in correlated systems: LDA++ approach journal March 1998
Photoemission of bands above the Fermi level: The excitonic insulator phase transition in 1 T − TiSe 2 journal June 2000
Electron-hole excitations and optical spectra from first principles journal August 2000
Charge-density-wave phase transition in 1 T − TiSe 2 :   Excitonic insulator versus band-type Jahn-Teller mechanism journal May 2002
Spectral density functionals for electronic structure calculations journal June 2004
Frequency-dependent local interactions and low-energy effective models from electronic structure calculations journal November 2004
Self-consistent local GW method: Application to 3 d and 4 d metals journal February 2006
Adequacy of approximations in GW theory journal December 2006
Quasiparticle self-consistent G W method: A basis for the independent-particle approximation journal October 2007
Self-consistency over the charge density in dynamical mean-field theory: A linear muffin-tin implementation and some physical implications journal December 2007
Correlation effects in the total energy, the bulk modulus, and the lattice constant of a transition metal: Combined local-density approximation and dynamical mean-field theory applied to Ni and Mn journal March 2009
Importance of electronic correlations for structural and magnetic properties of the iron pnictide superconductor LaFeAsO journal August 2011
Ab initio many-body effects in TiSe 2 : A possible excitonic insulator scenario from GW band-shape renormalization journal May 2012
Extending the random-phase approximation for electronic correlation energies: The renormalized adiabatic local density approximation journal August 2012
Electronic structure of SrVO 3 within G W +DMFT journal December 2013
Electronic and vibrational properties of TiSe 2 in the charge-density-wave phase from first principles journal September 2015
Electronic structure of Na, K, Si, and LiF from self-consistent solution of Hedin's equations including vertex corrections journal October 2016
Charge self-consistency in density functional theory combined with dynamical mean field theory: k -space reoccupation and orbital order journal October 2016
When strong correlations become weak: Consistent merging of G W and DMFT journal November 2016
Limitations of constrained random phase approximation downfolding journal December 2018
1 T − TiSe 2 : Semimetal or Semiconductor? journal December 2008
Temperature-Dependent Fermi Surface Evolution in Heavy Fermion CeIrIn 5 journal January 2012
Three-Dimensional and Relativistic Effects in Layered 1 T -Ti Se 2 journal November 1985
Ab Initio Calculation of Excitonic Effects in the Optical Spectra of Semiconductors journal May 1998
Comment on “Self-Consistent Calculations of Quasiparticle States in Metals and Semiconductors” journal July 1999
X-Ray Studies of Phonon Softening in TiSe 2 journal April 2001
Finite-Temperature Magnetism of Transition Metals: An ab initio Dynamical Mean-Field Theory journal July 2001
Electron-Hole Coupling and the Charge Density Wave Transition in TiSe 2 journal May 2002
All-Electron Self-Consistent G W Approximation: Application to Si, MnO, and NiO journal September 2004
Ab Initio Prediction of Conduction Band Spin Splitting in Zinc Blende Semiconductors journal March 2006
Quasiparticle Self-Consistent G W Theory journal June 2006
Renormalization of Molecular Electronic Levels at Metal-Molecule Interfaces journal November 2006
Exchange and Correlation Effects in Electronic Excitations of Cu 2 O journal December 2006
Semimetal-to-Semimetal Charge Density Wave Transition in 1 T − TiSe 2 journal July 2007
Multitier self-consistent G W + EDMFT journal September 2017
All-electron quasiparticle self-consistent GW band structures for SrTiO 3 including lattice polarization corrections in different phases journal January 2018
Effect of ladder diagrams on optical absorption spectra in a quasiparticle self-consistent GW framework journal March 2018
Screening from e g states and antiferromagnetic correlations in d ( 1 , 2 , 3 ) perovskites: A G W + EDMFT investigation journal February 2020
Effect of charge self-consistency in DFT + DMFT calculations for complex transition metal oxides journal July 2020
The density functional formalism, its applications and prospects journal July 1989
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
Half-metallic ferromagnets: From band structure to many-body effects journal April 2008
Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory journal May 2018
Accurate energy bands calculated by the hybrid quasiparticle self-consistent GW method implemented in the ecalj package journal March 2016