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Finite-size error in many-body simulations with long-range interactions.
Simone Chiesa1, David M Ceperley, Richard M Martin
1Department of Physics, University of Illinois Urbana-Champaign, Urbana, Illinois 61801, USA. chiesa@uiuc.edu
We developed a new method to correct finite-size errors in many-body simulations for charged particle systems. This approach accounts for collective charge oscillations, improving energy calculations for systems like the electron gas and silicon.
Area of Science:
- Computational physics
- Quantum mechanics
- Materials science
Background:
- Many-body simulations of charged particles often suffer from finite-size errors.
- These errors impact the accuracy of calculated energies, affecting theoretical predictions.
Purpose of the Study:
- To investigate the origin of finite-size energy errors in many-body simulations.
- To propose and validate a novel correction method for these errors.
Main Methods:
- Utilized the random-phase approximation (RPA) at long wavelengths.
- Developed a correction method based on collective charge oscillations.
- Applied the method to calculate both kinetic and potential energy corrections within a single simulation.
Main Results:
- The proposed correction effectively addresses finite-size errors.
- The correction is primarily driven by collective charge oscillations.
- Demonstrated accuracy for model systems like the electron gas and silicon.
Conclusions:
- The RPA-based correction offers a robust solution for finite-size effects in charged particle simulations.
- This method enhances the reliability of energy calculations in condensed matter physics and quantum chemistry.
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