Related Experiment Video
Updated: Feb 1, 2026

A Finite Element Approach for Locating the Center of Resistance of Maxillary Teeth
Published on: April 8, 2020
A Finite-Field Approach for GW Calculations beyond the Random Phase Approximation
He Ma1,2, Marco Govoni1,3, Francois Gygi4
1Institute for Molecular Engineering , University of Chicago , Chicago , Illinois 60637 , United States.
A new finite-field method enables efficient electronic property calculations beyond the random phase approximation. This approach improves quasiparticle energy convergence in G0W0 calculations for molecules and solids.
Area of Science:
- Computational physics
- Quantum chemistry
- Materials science
Background:
- Density response functions are crucial for understanding electronic properties.
- Existing methods for GW calculations can be computationally intensive and face convergence challenges.
Purpose of the Study:
- To introduce a novel finite-field approach for computing density response functions.
- To enable efficient G0W0 and G0W0Γ0 calculations beyond the random phase approximation.
- To address slow convergence issues in quasiparticle energy calculations.
Main Methods:
- Development of a finite-field approach for density response functions.
- Application to G0W0 and G0W0Γ0 calculations.
- Integration with density functional theory using hybrid functionals.
- Analysis of electronic properties for molecules and solids.
Main Results:
- Demonstrated efficient computation of density response functions.
- Achieved accurate G0W0 and G0W0Γ0 calculations beyond the random phase approximation.
- Presented electronic properties of various molecules and solids.
- Developed a scheme to accelerate the convergence of quasiparticle energies.
Conclusions:
- The finite-field approach offers an efficient and versatile tool for electronic structure calculations.
- The method is readily applicable to hybrid functional-based density functional calculations.
- The proposed scheme effectively overcomes convergence limitations in G0W0Γ0 calculations.
More Related Videos
Related Concept Videos
Chemical Equilibria: Systematic Approach to Equilibrium Calculations
The first step is to identify all the chemical reactions involved, The...
Approximate Integration
Linearization and Approximation
Accuracy, limits, and approximation
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
Application of Linearization and Approximation
Calculating the Equilibrium Constant
For example, gaseous nitrogen dioxide forms dinitrogen tetroxide according to this equation:

