Correlation-Induced Insulating Topological Phases at Charge Neutrality in Twisted Bilayer Graphene

Da Liao, Yuan; Kang, Jian; Breiø, Clara N.; Xu, Xiao Yan; Wu, Han-Qing; Andersen, Brian M.; Fernandes, Rafael M.; Meng, Zi Yang

doi:10.1103/PhysRevX.11.011014

Title: Correlation-Induced Insulating Topological Phases at Charge Neutrality in Twisted Bilayer Graphene

Journal Article · Fri Jan 22 00:00:00 EST 2021 · Physical Review. X

DOI:https://doi.org/10.1103/PhysRevX.11.011014· OSTI ID:1761558

Da Liao, Yuan;

; Breiø, Clara N.; Xu, Xiao Yan; Wu, Han-Qing; Andersen, Brian M.; Fernandes, Rafael M.;

Twisted bilayer graphene (TBG) provides a unique framework to elucidate the interplay between strong correlations and topological phenomena in two-dimensional systems. The existence of multiple electronic degrees of freedom - charge, spin, and valley - gives rise to a plethora of possible ordered states and instabilities. Identifying which of them are realized in the regime of strong correlations is fundamental to shed light on the nature of the superconducting and correlated insulating states observed in the TBG experiments. Here, we use unbiased, sign-problem-free quantum Monte Carlo simulations to solve an effective interacting lattice model for TBG at charge neutrality. Besides the usual cluster Hubbard-like repulsion, this model also contains an assisted-hopping interaction that emerges due to the nontrivial topological properties of TBG. Such a nonlocal interaction fundamentally alters the phase diagram at charge neutrality, gapping the Dirac cones even for infinitesimally small interactions. As the interaction strength increases, a sequence of different correlated insulating phases emerge, including a quantum valley Hall state with topological edge states, an intervalley-coherent insulator, and a valence bond solid. The charge-neutrality correlated insulating phases discovered here provide the sought-after reference states needed for a comprehensive understanding of the insulating states at integer fillings and the proximate superconducting states of TBG.

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

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); NSFC; Research Grants Council of Hong Kong SAR China; National Key Research and Development Program of China

Grant/Contract Number:: SC0020045; PHY-1607611; 12074276; 17303019; 2016YFA0300502

OSTI ID:: 1761558

Alternate ID(s):: OSTI ID: 1773902

Journal Information:: Physical Review. X, Journal Name: Physical Review. X Vol. 11 Journal Issue: 1; ISSN 2160-3308

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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