Dynamically screened vertex correction to GW

Beyond the GW approximation: A second-order screened exchange correction

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Self-consistency and vertex corrections beyond the GW approximation

The good performance of the GW approximation for band-structure calculations in solids was long taken as a sign that the sum of self-energy diagrams is converged and that all omitted terms are small. However, with modern computational resources it has now become possible to evaluate self-consistency and vertex corrections explicitly, and the numerical results show that they are, in general, not...

QED Vertex Correction

so we take the incoming and the outgoing electrons to be on-shell, p2 = p′2 = m2, but the photon is off-shell, q2 6= 0. Moreover, we put the vertex in the context of the complete electron line — including the external line factors, thus ū(p′)× ieΓμ × u(p). As discussed in class, this simplifies the Lorentz and Dirac structure of the vertex and allows us to write it as Γ(p, p) = Fel(q )× (p′ + p...

Correlation-Enhanced Electron-Phonon Coupling: Applications of GW and Screened Hybrid Functional to Bismuthates, Chloronitrides, and Other High-Tc Superconductors

We show that the electron-phonon coupling (EPC) in many materials can be significantly underestimated by the standard density-functional theory (DFT) in the local-density approximation (LDA) due to large nonlocal correlation effects. We present a simple yet efficient methodology to evaluate the realistic EPC, going beyond the LDA by using more advanced and accurate GW and screened-hybridfunctio...

QED Vertex Correction: Working through the Algebra