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.

14 pages including 5 figures, LaTeX

References in corpus (3)

• Charge-Spin Separation and the Spectral Properties of Luttinger Liquids
• Density-functional theory and the v-representability problem for model strongly correlated electron systems
• Violation of particle number conservation in the GW approximation

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• Low-scaling \textit{GW} calculations of quasi-particle energies for extended systems within the numerical atomic orbital framework
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