Fermi arcs versus hole pockets: Periodization of a cellular two-band model

It is still debated whether the low-doping Fermi surface of cuprates composed hole pockets or disconnected arcs. Results from cellular dynamical mean field theory (c-DMFT) support arcs hypothesis by predicting corresponding for Hubbard model. Here, we introduce a simple parametrization self-energy, in spirit Yang-Rice-Zhang theory, and show that state art c-CDMFT calculations cannot give definitive answer to question vs holes pockets, this, independently periodization (cumulant Green's function) used display spectral weights infinite lattice. Indeed, when our model restricted cluster periodized like c-DMFT, only two adjustable parameters suffice reproduce qualitative details frequency momentum dependence low energy c-DMFT weight both periodizations. In other words, even though starting has electron it leads c-DMFT. We provide new "compact tiling" scheme recover non-interacting lattice model, suggesting better schemes might exist.