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Title: Comparing time-dependent density functional theory with many-body perturbation theory for semiconductors: Screened range-separated hybrids and the GW plus Bethe-Salpeter approach

Journal Article · · Physical Review Materials
 [1];  [2];  [1];  [2];  [3];  [4];  [2];  [5];  [1]
  1. Weizmann Inst. of Science, Rehovot (Israel)
  2. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  3. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  4. Univ. of Regensburg (Germany)
  5. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States) ; Kavli Energy NanoScience Institute, Berkeley, CA (United States)

We present band structure and optical absorption spectra obtained from density functional theory (DFT) and linear response time-dependent DFT (TDDFT) calculations using a screened range-separated hybrid (SRSH) functional, including spin-orbit coupling, for seven prototypical semiconductors. The results are compared to those obtained from highly converged many-body perturbation theory calculations using the GW approximation and the GW plus Bethe-Salpeter equation (GW-BSE) approaches. We use a single empirical parameter for our SRSH calculations, fit such that the SRSH band gap reproduces the GW band gap at the Γ point. We then find that ground-state generalized Kohn-Sham SRSH eigenvalues accurately reproduce the band structure obtained from GW calculations, typically to within 0.1–0.2 eV, and optical absorption spectra obtained using TDDFT with the SRSH functional agree well with those of GW-BSE, with a mean deviation of 0.03 and 0.11 eV for the location of the first and second absorption peaks, respectively, at a fraction of the computational cost.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Univ. of California, Oakland, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1577683
Alternate ID(s):
OSTI ID: 1546423
Journal Information:
Physical Review Materials, Vol. 3, Issue 6; ISSN 2475-9953
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 51 works
Citation information provided by
Web of Science

References (102)

Dielectric properties and excitons for extended systems from hybrid functionals journal September 2008
Long-wavelength behavior of the exchange-correlation kernel in the Kohn-Sham theory of periodic systems journal November 1997
Generalized Gradient Approximation Made Simple journal October 1996
Dielectric Screening Meets Optimally Tuned Density Functionals journal April 2018
Electronic and Optical Structure of Wurtzite CuInS 2 journal June 2014
Hybrid functionals based on a screened Coulomb potential journal May 2003
Static subspace approximation for the evaluation of G 0 W 0 quasiparticle energies within a sum-over-bands approach journal March 2019
Generalized Hedin’s Equations for Quantum Many-Body Systems with Spin-Dependent Interactions journal March 2008
An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions journal August 2014
Role of semicore d electrons in quasiparticle band-structure calculations journal March 1998
Time-Dependent Density-Functional Theory book December 2011
Dielectric function and critical points of AlP determined by spectroscopic ellipsometry journal February 2014
Fundamental Energy Gaps of AlAs and Alp from Photoluminescence Excitation Spectra journal December 1973
First-Principles Approach to Insulators in Finite Electric Fields journal August 2002
BerkeleyGW: A massively parallel computer package for the calculation of the quasiparticle and optical properties of materials and nanostructures journal June 2012
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials journal September 2009
Bootstrap Approximation for the Exchange-Correlation Kernel of Time-Dependent Density-Functional Theory journal October 2011
Temperature dependence of the dielectric function and interband critical points in silicon journal September 1987
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Satellite band structure in silicon caused by electron-plasmon coupling journal May 2015
Estimating Excitonic Effects in the Absorption Spectra of Solids: Problems and Insight from a Guided Iteration Scheme journal April 2015
Electron correlation in semiconductors and insulators: Band gaps and quasiparticle energies journal October 1986
Assessment of long-range-corrected exchange-correlation kernels for solids: Accurate exciton binding energies via an empirically scaled bootstrap kernel journal May 2017
Self-energy operators and exchange-correlation potentials in semiconductors journal June 1988
Optimized norm-conserving Vanderbilt pseudopotentials journal August 2013
Excited-State Properties of Molecular Solids from First Principles journal May 2016
First-Principles Theory of Quasiparticles: Calculation of Band Gaps in Semiconductors and Insulators journal September 1985
Temperature dependence of the dielectric function and the interband critical-point parameters of GaP journal September 1993
Electronic excitations: density-functional versus many-body Green’s-function approaches journal June 2002
Erratum: “Hybrid functionals based on a screened Coulomb potential” [J. Chem. Phys. 118, 8207 (2003)] journal June 2006
Excitonic Effects in Solids Described by Time-Dependent Density-Functional Theory journal January 2002
The density functional formalism, its applications and prospects journal July 1989
Perspective: Fundamental aspects of time-dependent density functional theory journal June 2016
Time-dependent generalized Kohn–Sham theory journal July 2018
Nonempirical hybrid functionals for band gaps and polaronic distortions in solids journal March 2018
Accurate Quasiparticle Spectra from Self-Consistent GW Calculations with Vertex Corrections journal December 2007
Studies of thin strained InAs, AlAs, and AlSb layers by spectroscopic ellipsometry journal March 1996
Simple screened exact-exchange approach for excitonic properties in solids journal July 2015
Electronic structure of Pu and Am metals by self-consistent relativistic G W method journal April 2012
Physical Content of the Exact Kohn-Sham Orbital Energies: Band Gaps and Derivative Discontinuities journal November 1983
Improved quasiparticle wave functions and mean field for G 0 W 0 calculations: Initialization with the COHSEX operator journal September 2014
Time-dependent density functional theory calculations for the excitation spectra of III-V ternary alloys journal August 2017
JURECA: General-purpose supercomputer at Jülich Supercomputing Centre journal January 2016
Excitonic Optical Spectrum of Semiconductors Obtained by Time-Dependent Density-Functional Theory with the Exact-Exchange Kernel journal August 2002
The optical frequencies and dielectric constants of InP journal August 1969
Generalized Kohn-Sham schemes and the band-gap problem journal February 1996
Self-consistent hybrid functional for condensed systems journal May 2014
Gradient-dependent exchange-correlation kernel for materials optical properties journal August 2018
G W calculations including spin-orbit coupling: Application to Hg chalcogenides journal August 2011
Role of the plasmon-pole model in the G W approximation journal September 2013
Improving accuracy and efficiency of calculations of photoemission spectra within the many-body perturbation theory journal February 2012
Orbital-dependent density functionals: Theory and applications journal January 2008
Solid-state optical absorption from optimally tuned time-dependent range-separated hybrid density functional theory journal August 2015
New Method for Calculating the One-Particle Green's Function with Application to the Electron-Gas Problem journal August 1965
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Quasiparticle Self-Consistent G W Theory journal June 2006
Quasiparticle band structure of thirteen semiconductors and insulators journal June 1991
GW self-energy calculations of carrier-induced band-gap narrowing in n -type silicon journal January 1995
The GW method journal March 1998
Density-Functional Theory for Time-Dependent Systems journal March 1984
Effect of semicore orbitals on the electronic band gaps of Si, Ge, and GaAs within the GW approximation journal March 2004
Time-dependent density functional theory within the Tamm–Dancoff approximation journal December 1999
Benchmarking the Starting Points of the GW Approximation for Molecules journal December 2012
Predictive G W calculations using plane waves and pseudopotentials journal August 2014
Electron-Hole Excitations in Semiconductors and Insulators journal September 1998
Quasiparticle semiconductor band structures including spin–orbit interactions journal February 2013
Berry-phase treatment of the homogeneous electric field perturbation in insulators journal March 2001
Temperature dependence of the interband critical-point parameters of InP journal September 1987
Implementation and Validation of Fully Relativistic GW Calculations: Spin–Orbit Coupling in Molecules, Nanocrystals, and Solids journal July 2016
Dielectric response of AlSb from 0.7 to 5.0 eV determined by in situ ellipsometry journal June 2009
Optical functions of semiconductors beyond density-functional theory and random-phase approximation journal February 1997
Long-range contribution to the exchange-correlation kernel of time-dependent density functional theory journal April 2004
G W calculations using the spectral decomposition of the dielectric matrix: Verification, validation, and comparison of methods journal April 2013
Iterative calculations of dielectric eigenvalue spectra journal June 2009
Excitation Gaps of Finite-Sized Systems from Optimally Tuned Range-Separated Hybrid Functionals journal April 2012
Efficient iterative method for calculations of dielectric matrices journal September 2008
Interband critical points of GaAs and their temperature dependence journal June 1987
Optical response of extended systems from time-dependent Hartree-Fock and time-dependent density-functional theory journal May 2012
Interband Transitions and Exciton Effects in Semiconductors journal January 1972
Perspective on density functional theory journal April 2012
Electron-hole excitations and optical spectra from first principles journal August 2000
Optical spectra of solids obtained by time-dependent density functional theory with the jellium-with-gap-model exchange-correlation kernel journal May 2013
Large Scale GW Calculations journal May 2015
Semiconductors: Data Handbook book January 2004
Advanced capabilities for materials modelling with Quantum ESPRESSO journal October 2017
Nonlocal pseudopotential calculations for the electronic structure of eleven diamond and zinc-blende semiconductors journal July 1976
Application of the Green’s functions method to the study of the optical properties of semiconductors journal December 1988
Optics of Semiconductors from Meta-Generalized-Gradient-Approximation-Based Time-Dependent Density-Functional Theory journal November 2011
Semiconductors: Data Handbook journal August 2004
Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets journal May 2021
Advanced capabilities for materials modelling with Quantum ESPRESSO text January 2017
Electronic structure of Pu and Am metals by self consistent relativistic GW text January 2011
Perspective on density functional theory text January 2012
Optical spectra of solids obtained by time-dependent density-functional theory with the jellium-with-gap model exchange-correlation kernel text January 2012
Predictive GW calculations using plane waves and pseudopotentials text January 2014
Estimating Excitonic Effects in the Absorption Spectra of Solids: Problems and Insight from a Guided Iteration Scheme text January 2014
Self-consistent hybrid functional for condensed systems text January 2015
Satellite Band Structure in Silicon Caused by Electron-Plasmon Coupling text January 2015
Solid-state optical absorption from optimally-tuned time-dependent range-separated hybrid density functional theory text January 2015
Advanced capabilities for materials modelling with Quantum ESPRESSO text January 2017
Excitonic effects in solids described by time-dependent density functional theory text January 2001
Quasiparticle Self-Consistent GW Theory text January 2005

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