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• W2889374450 abstract "The recent observation of superconductivity in proximity to an insulating phase in twisted bilayer graphene (TBG) at small ``magic'' twist angles has been linked to the existence of nearly flat bands, which make TBG a fresh playground to investigate the interplay between correlations and superconductivity. The low-energy narrow bands were shown to be well described by an effective tight-binding model on the honeycomb lattice (the dual of the triangular Moir'e superlattice) with a local orbital degree of freedom. In this paper, we perform a strong-coupling analysis of the proposed $left({p}_{x},phantom{rule{0.16em}{0ex}}{p}_{y}right)$ two-orbital extended Hubbard model on the honeycomb lattice. By decomposing the interacting terms in the particle-particle and particle-hole channels, we classify the different possible superconducting, magnetic, and charge instabilities of the system. In the pairing case, we pay particular attention to the two-component ($dtext{ensuremath{-}}mathrm{wave}$) pairing channels, which admit vestigial phases with nematic or chiral orders, and study their phenomenology. Furthermore, we explore the strong-coupling regime by obtaining a simplified spin-orbital exchange model which may describe a putative Mott-type insulating state at quarter-filling. Our mean-field solution reveals a rich intertwinement between ferromagnetic and antiferromagnetic orders with different types of nematic and magnetic orbital orders. Overall, our work provides a solid framework for further investigations of the phase diagram of the two-orbital extended Hubbard model in both strong- and weak-coupling regimes." @default.
• W2889374450 created "2018-09-07" @default.
• W2889374450 creator A5038794897 @default.
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• W2889374450 date "2018-12-03" @default.
• W2889374450 modified "2023-10-18" @default.
• W2889374450 title "Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene" @default.
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• W2889374450 doi "https://doi.org/10.1103/physrevb.98.245103" @default.
• W2889374450 hasPublicationYear "2018" @default.
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