Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene

Venderbos, Jörn W. F.; Fernandes, Rafael M.

doi:10.1103/physrevb.98.245103

Title: Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene

Journal Article · Mon Dec 03 00:00:00 EST 2018 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.98.245103· OSTI ID:1611767

Venderbos, Jörn W. F. ^[1]; Fernandes, Rafael M. ^[2]

Univ. of Pennsylvania, Philadelphia, PA (United States)
Univ. of Minnesota, Minneapolis, MN (United States)

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 Moiré superlattice) with a local orbital degree of freedom. In this paper, we perform a strong-coupling analysis of the proposed (p_x,p_y) 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 (d–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. Altogether, 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.

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Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0012336

OSTI ID:: 1611767

Alternate ID(s):: OSTI ID: 1484319

Journal Information:: Physical Review. B, Vol. 98, Issue 24; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 123 works

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