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• W3100585057 abstract "In magic angle twisted bilayer graphene (TBG), electron-electron interactions play a central role, resulting in correlated insulating states at certain integer fillings. Identifying the nature of these insulators is a central question, and it is potentially linked to the relatively high-temperature superconductivity observed in the same devices. Here, we address this question using a combination of analytical strong-coupling arguments and a comprehensive Hartree-Fock numerical calculation, which includes the effect of remote bands. The ground state we obtain at charge neutrality is an unusual ordered state, which we call the Kramers intervalley-coherent (K-IVC) insulator. In its simplest form, the K-IVC order exhibits a pattern of alternating circulating currents that triples the graphene unit cell, leading to an “orbital magnetization density wave.” Although translation and time-reversal symmetry are broken, a combined “Kramers” time-reversal symmetry is preserved. Our analytic arguments are built on first identifying an approximate U(4)×U(4) symmetry, resulting from the remarkable properties of the TBG band structure, which helps select a low-energy manifold of states that are further split to favor the K-IVC state. This low-energy manifold is also found in the Hartree-Fock numerical calculation. We show that symmetry-lowering perturbations can stabilize other insulators and the semimetallic state, and we discuss the ground state at half-filling and give a comparison with experiments.Received 26 February 2020Accepted 16 June 2020DOI:https://doi.org/10.1103/PhysRevX.10.031034Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasBand gapLocal density of statesOrder parametersTopological insulatorsTopological materialsPhysical SystemsGrapheneTechniquesMean field theoryCondensed Matter, Materials & Applied Physics" @default.
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• W3100585057 date "2020-08-12" @default.
• W3100585057 modified "2023-10-14" @default.
• W3100585057 title "Ground State and Hidden Symmetry of Magic-Angle Graphene at Even Integer Filling" @default.
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• W3100585057 doi "https://doi.org/10.1103/physrevx.10.031034" @default.
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