Assessment of the GW Approximation using Hubbard Chains

R.W. Godby; T.J. Pollehn; A. Schindlmayr

doi:10.1088/0953-8984/10/6/011

Assessment of the GW Approximation using Hubbard Chains

R.W. Godby, T.J. Pollehn, A. Schindlmayr

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the performance of the GW approximation by comparison to exact results for small model systems. The role of the chemical potentials in Dyson's equation as well as the consequences of numerical resonance broadening are examined, and we show how a proper treatment can improve computational implementations of many-body perturbation theory in general. GW and exchange-only calculations are performed over a wide range of fractional band fillings and correlation strengths. We thus identify the physical situations where these schemes are applicable.

Original language	English
Pages (from-to)	1273-1283
Number of pages	10
Journal	Journal of Physics: Condensed Matter
Volume	10
Issue number	6
DOIs	https://doi.org/10.1088/0953-8984/10/6/011
Publication status	Published - 16 Feb 1998

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title = "Assessment of the GW Approximation using Hubbard Chains",

abstract = "We investigate the performance of the GW approximation by comparison to exact results for small model systems. The role of the chemical potentials in Dyson's equation as well as the consequences of numerical resonance broadening are examined, and we show how a proper treatment can improve computational implementations of many-body perturbation theory in general. GW and exchange-only calculations are performed over a wide range of fractional band fillings and correlation strengths. We thus identify the physical situations where these schemes are applicable.",

author = "R.W. Godby and T.J. Pollehn and A. Schindlmayr",

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AB - We investigate the performance of the GW approximation by comparison to exact results for small model systems. The role of the chemical potentials in Dyson's equation as well as the consequences of numerical resonance broadening are examined, and we show how a proper treatment can improve computational implementations of many-body perturbation theory in general. GW and exchange-only calculations are performed over a wide range of fractional band fillings and correlation strengths. We thus identify the physical situations where these schemes are applicable.

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