Systematic improvement of the Momentum Average approximation for the Green's function of a Holstein polaron

Abstract

We show how to systematically improve the Momentum Average (MA)approximation for the Green's function of a Holstein polaron, bysystematically improving the accuracy of the self-energy diagrams in such a way that they can still all be summed efficiently. This allows us to fix some of the problems of the MA approximation, e.g. we now find the expected polaron+phonon continuum at the correct location, and a momentum-dependent self-energy. The quantitative agreement with numerical data is further improved, as expected since the number of exactly satisfied spectral weight sum rules is increased. The corrections are found to be larger in lower dimensional systems.

15 pages, 13 figures

References in corpus (5)

• Green's function of a dressed particle
• The Green's Function of the Holstein Polaron
• Photoemission spectra of many-polaron systems
• Spectral Properties of Holstein and Breathing Polarons
• Quantum adiabatic polarons by translationally invariant perturbation theory

Cited by in corpus (24)

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• The polaron paradigm: a dual coupling effective band model
• Trapping of three-dimensional Holstein polarons by various impurities
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• Exciton dissociation mediated by phonons in organic photovoltaics
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• Extrapolation of polaron properties to low phonon frequencies by Bayesian machine learning
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• Electron addition spectral functions of low-density polaron liquids
• Theory of dispersive optical phonons in resonant inelastic x-ray scattering experiments
• Extending the Feynman variational principle and analytical methods to lattice polarons