Exact Diagonalization for Magic-Angle Twisted Bilayer Graphene

Potasz, Pawel; Xie, Ming; MacDonald, A.  H.

doi:10.1103/physrevlett.127.147203

Exact Diagonalization for Magic-Angle Twisted Bilayer Graphene

Journal Article · Wed Sep 29 00:00:00 EDT 2021 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.127.147203· OSTI ID:1853794

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Univ. of Texas, Austin, TX (United States); Wroclaw Univ. of Science and Technology (Poland); OSTI
Univ. of Texas, Austin, TX (United States)

We report on finite-size exact-diagonalization calculations in a Hilbert space defined by the continuum-model flat moiré bands of magic angle twisted bilayer graphene. For moiré band filling 3>|ν|>2, where superconductivity is strongest, we obtain evidence that the ground state is a spin ferromagnet. Near |ν|=3, we find Chern insulator ground states that have spontaneous spin, valley, and sublattice polarization, and demonstrate that the anisotropy energy in this order-parameter space is strongly band-filling-factor dependent. We emphasize that inclusion of the remote band self-energy is necessary for a reliable description of magic angle twisted bilayer graphene flat band correlations.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Texas, Austin, TX (United States)

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

Grant/Contract Number:: SC0022106; FG02-02ER45958

OSTI ID:: 1853794

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 14 Vol. 127; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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