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• W3087537488 abstract "We develop a two stage renormalization group which connects the continuum Hamiltonian for twisted bilayer graphene at length scales shorter than the moire superlattice period to the Hamiltonian for the active narrow bands only which is valid at distances much longer than the moire period. In the first stage, the Coulomb interaction renormalizes the Fermi velocity and the interlayer tunnelings in such a way as to suppress the ratio of the same sublattice to opposite sublatice tunneling, hence approaching the so-called chiral limit. In the second stage, the interlayer tunneling is treated non-perturbatively. Via a progressive numerical elimination of remote bands the relative strength of the one-particle-like dispersion and the interactions within the active narrow band Hamiltonian is determined, thus quantifying the residual correlations and justifying the strong coupling approach in the final step. We also calculate exactly the exciton energy spectrum from the Coulomb interactions projected onto the renormalized narrow bands. The resulting softening of the collective modes marks the propinquity of the enlarged (hidden) $U(4)times U(4)$ symmetry in the magic angle twisted bilayer graphene." @default.
• W3087537488 created "2020-09-25" @default.
• W3087537488 creator A5033145523 @default.
• W3087537488 creator A5055137946 @default.
• W3087537488 date "2020-12-18" @default.
• W3087537488 modified "2023-10-16" @default.
• W3087537488 title "Renormalization Group Study of Hidden Symmetry in Twisted Bilayer Graphene with Coulomb Interactions" @default.
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• W3087537488 doi "https://doi.org/10.1103/physrevlett.125.257602" @default.
• W3087537488 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/33416368" @default.
• W3087537488 hasPublicationYear "2020" @default.
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