We present new developments in the stochastic approach to many-body perturbation theory for calculating photoemission (and inverse<br/>photoemission) spectra of large systems.  We demonstrate how the stochastic method controls convergence of the quasiparticle energies<br/>and spectral functions and how vertex corrections influence the polarization part of the self energy.  We furthermore demonstrate the<br/>routes to: (i) (partial) self-consistency within the stochastic framework, i.e. going beyond the G0W0 limit, and (ii) the interactions of quasiholes and quasielectrons with other quasiparticles (e.g plasmons).  Given the favorable scaling of our approach with system size we illustrate our findings by calculations for systems with up to thousands of electrons.

Spectra from stochastic many-body methods

253rd National Meeting (2017)

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