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• W3202045626 abstract "The Hamiltonian of the magic-angle twisted symmetric trilayer graphene (TSTG) can be decomposed into a twisted-bilayer-graphene- (TBG-) like flat band Hamiltonian and a high-velocity Dirac fermion Hamiltonian. We use Hartree-Fock mean field approach to study the projected Coulomb interacting Hamiltonian of TSTG developed in Cifmmode u{a}else u{a}fi{}lugifmmode u{a}else u{a}fi{}ru et al. [Phys. Rev. B 103, 195411 (2021)] at integer fillings $ensuremath{nu}=ensuremath{-}3,phantom{rule{0.222222em}{0ex}}ensuremath{-}2,phantom{rule{0.222222em}{0ex}}ensuremath{-}1$, and 0 measured from charge neutrality. We study the phase diagram with ${w}_{0}/{w}_{1}$, the ratio of $AA$ and $AB$ interlayer hoppings, and the displacement field, which introduces an interlayer potential $U$ and hybridizes the TBG-like bands with the Dirac bands. At small $U$, we find the ground states at all fillings $ensuremath{nu}$ are in the same phases as the tensor products of a Dirac semimetal with the filling $ensuremath{nu}$ TBG insulator ground states, which are spin-valley polarized at $ensuremath{nu}=ensuremath{-}3$, and fully (partially) intervalley coherent at $ensuremath{nu}=ensuremath{-}2,0$ ($ensuremath{nu}=ensuremath{-}1$) in the flat bands. An exception is $ensuremath{nu}=ensuremath{-}3$ with ${w}_{0}/{w}_{1}ensuremath{gtrsim}0.7$, which possibly becomes a metal with competing orders at small $U$ due to charge transfers between the Dirac and flat bands. At strong $U$ where the bandwidths exceed interactions, all the fillings $ensuremath{nu}$ enter a metal phase with small or zero valley polarization and intervalley coherence. Lastly, at intermediate $U$, semimetal or insulator phases with zero intervalley coherence may arise for $ensuremath{nu}=ensuremath{-}2,phantom{rule{0.222222em}{0ex}}ensuremath{-}1,phantom{rule{0.222222em}{0ex}}0$. Our results provide a simple picture for the electron interactions in TSTG systems, and reveal the connection between the TSTG and TBG ground states." @default.
• W3202045626 created "2021-10-11" @default.
• W3202045626 creator A5008130108 @default.
• W3202045626 creator A5014591055 @default.
• W3202045626 creator A5024948946 @default.
• W3202045626 creator A5041805533 @default.
• W3202045626 creator A5044969095 @default.
• W3202045626 date "2021-09-30" @default.
• W3202045626 modified "2023-10-17" @default.
• W3202045626 title "Twisted symmetric trilayer graphene. II. Projected Hartree-Fock study" @default.
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