Correlated states of a triangular net of coupled quantum wires: Implications 
for the phase diagram of marginally twisted bilayer graphene

Chen, Chuan; Neto, A. H. Castro; Pereira, Vitor M.

doi:10.1103/PhysRevB.101.165431

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Correlated states of a triangular net of coupled quantum wires: Implications for the phase diagram of marginally twisted bilayer graphene

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Chen, Chuan
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Chen, C., Neto, A. H. C., & Pereira, V. M. (2020). Correlated states of a triangular net of coupled quantum wires: Implications for the phase diagram of marginally twisted bilayer graphene. Physical Review B, 101(16): 165431. doi:10.1103/PhysRevB.101.165431.

Cite as: https://hdl.handle.net/21.11116/0000-0006-984D-9

Abstract

We explore in detail the electronic phases of a system consisting of three noncolinear arrays of coupled quantum wires, each rotated 120 degrees with respect to the next. A perturbative renormalization-group analysis reveals that multiple correlated states can be stabilized: a s-wave or d +/- id superconductor, a charge density wave insulator, a two-dimensional Fermi liquid, and a 2D Luttinger liquid (also known as smectic metal or sliding Luttinger liquid). The model provides an effective description of electronic interactions in small-angle twisted bilayer graphene and we discuss its implications in relation to the recent observation of correlated and superconducting ground states near commensurate densities in magic-angle twisted samples, as well as the "strange metal" behavior at finite temperatures as a natural outcome of the 2D Luttinger liquid phase.