The effects of k-dependent self-energy in the electronic structure of correlated materials
T. Miyake, C. Martins, R. Sakuma, and F. Aryasetiawan

TL;DR
This paper investigates how k-dependent self-energy influences the electronic structure of correlated materials, revealing that nonlocal effects are significant even in narrow-band systems like SrVO3, contrary to common assumptions.
Contribution
It demonstrates the importance of nonlocal self-energy in narrow-band materials, challenging the assumption that self-energy is predominantly local in such systems.
Findings
Nonlocal self-energy significantly affects narrow-band materials.
Strong cancellation occurs between frequency- and momentum-dependent self-energy effects.
Nonlocal effects are important even in materials with narrow bands like SrVO3.
Abstract
It is known from self-energy calculations in the electron gas and sp materials based on the GW approximation that a typical quasiparticle renormalization factor (Z factor) is approximately 0.7-0.8. Band narrowing in electron gas at rs = 4 due to correlation effects, however, is only approximately 10%, significantly smaller than the Z factor would suggest. The band narrowing is determined by the frequency-dependent self-energy, giving the Z factor, and the momentum-dependent or nonlocal self-energy. The results for the electron gas point to a strong cancellation between the effects of frequency- and momentum-dependent self-energy. It is often assumed that for systems with a nar- row band the self-energy is local. In this work we show that even for narrow-band materials, such as SrVO3, the nonlocal self-energy is important.
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