Topological and nematic superconductivity mediated by ferro-SU(4) fluctuations in twisted bilayer graphene

Wang, Yuxuan; Kang, Jian; Fernandes, Rafael M.

doi:10.1103/physrevb.103.024506

Title: Topological and nematic superconductivity mediated by ferro-SU(4) fluctuations in twisted bilayer graphene

Journal Article · Mon Jan 11 00:00:00 EST 2021 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.103.024506· OSTI ID:1773904

^[1]; Kang, Jian ^[2]; Fernandes, Rafael M. ^[3]

Univ. of Florida, Gainesville, FL (United States)
Soochow Univ., Suzhou (China)
Univ. of Minnesota, Minneapolis, MN (United States)

We propose an SU(4) spin-valley-fermion model to investigate the superconducting instabilities of twisted bilayer graphene (TBG). In this approach, bosonic fluctuations associated with an emergent SU(4) symmetry, corresponding to combined rotations in valley and spin spaces, couple to the low-energy fermions that comprise the flat bands. These fluctuations are peaked at zero wave vector, reflecting the “ferromagnetic-like” SU(4) ground state recently found in strong-coupling solutions of microscopic models for TBG. Focusing on electronic states related to symmetry-imposed points of the Fermi surface, dubbed here “valley hot-spots” and “van Hove hot-spots,” we find that the coupling to the itinerant electrons partially lifts the huge degeneracy of the ferro-SU(4) ground state manifold, favoring intervalley order, spin-valley coupled order, ferromagnetic order, spin-current order, and valley-polarized order, depending on details of the band structure. Here, these fluctuations, in turn, promote attractive pairing interactions in a variety of closely competing channels, including a nodeless f-wave state, a nodal i-wave state, and topological d+id and p+ip states with unusual Chern numbers 2 and 4, respectively. Nematic superconductivity, although not realized as a primary instability of the system, appears as a consequence of the near-degeneracy of superconducting order parameters that transform as one-dimensional and two-dimensional irreducible representations of the point group D₆.

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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:: SC0020045

OSTI ID:: 1773904

Journal Information:: Physical Review. B, Vol. 103, Issue 2; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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