Lattice collective modes from a continuum model of magic-angle twisted bilayer graphene

Kumar, Ajesh; Xie, Ming; MacDonald, A. H.

doi:10.1103/physrevb.104.035119

Lattice collective modes from a continuum model of magic-angle twisted bilayer graphene

Journal Article · Thu Jul 08 00:00:00 EDT 2021 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.104.035119· OSTI ID:1849402

^[1]; ^[2]; MacDonald, A. H. ^[2]

Univ. of Texas, Austin, TX (United States); OSTI
Univ. of Texas, Austin, TX (United States)

Here, we show that the insulating states of magic-angle twisted bilayer graphene support a series of collective modes corresponding to local particle-hole excitations on triangular lattice sites. Our theory is based on a continuum model of the magic angle flat bands. When the system is insulating at moiré band filling ν = -3, our calculations show that the ground state supports seven low-energy modes that lie well below the charge gap throughout the moiré Brillouin zone, one of which couples strongly to THz photons. The low-energy collective modes are faithfully described by a model with a local SU(8) degree of freedom in each moiré unit cell that we identify as the direct product of spin, valley, and an orbital pseudospin. Apart from spin and valley-wave modes, the collective mode spectrum includes a low-energy intraflavor exciton mode associated with transitions between flat valence and conduction band orbitals.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE Office of Science (SC); National Science Foundation (NSF)

Grant/Contract Number:: FG02-02ER45958

OSTI ID:: 1849402

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 3 Vol. 104; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Lattice collective modes from a continuum model of magic-angle twisted bilayer graphene

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