Journal
PHYSICAL REVIEW B
Volume 105, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.105.035117
Keywords
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Funding
- Canada First Research Excellence Fund
- Natural Sciences and Engineering Research Council (Canada) [RGPIN-2014-04584, RGPIN-2015-05598, RGPIN-2019-05312, RGPIN-2021-04043]
- Research Chair in the Theory of Quantum Materials
- postdoctoral research scholarship (B3X) of Fonds de recherche du Quebec
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This paper discusses whether the low-doping Fermi surface of cuprates is composed of hole pockets or disconnected Fermi arcs. The study finds that current calculations cannot provide a definitive answer to this question, and different periodization schemes may lead to different results.
It is still debated whether the low-doping Fermi surface of cuprates is composed of hole pockets or of disconnected Fermi arcs. Results from cellular dynamical mean field theory (c-DMFT) support the Fermi arcs hypothesis by predicting corresponding Fermi arcs for the Hubbard model. Here, we introduce a simple parametrization of the self-energy, in the spirit of Yang-Rice-Zhang theory, and show that state of the art c-DMFT calculations cannot give a definitive answer to the question of Fermi arcs vs hole pockets and this, independent of the periodization (cumulant or Green's function) used to display spectral weights of the infinite lattice. Indeed, when our model is restricted to a cluster and periodized like in c-DMFT, only two adjustable parameters suffice to reproduce the qualitative details of the frequency and momentum dependence of the low energy c-DMFT spectral weight for both periodizations. In other words, even though our starting model has a Fermi surface composed of hole and electron pockets, it leads to Fermi arcs when restricted to a cluster and periodized like in c-DMFT. We provide a different periodization scheme, named compact tiling, to recover the hole and electron pockets of our starting noninteracting lattice model, suggesting that better periodization schemes might exist.
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