On Dielectric Screening in Twisted Double Bilayer Graphene

Mukai, Fumiya; Horii, Kota; Hata, Nazuna; Ebisuoka, Ryoya; Watanabe, Kenji; Taniguchi, Takashi; Yagi, Ryuta

doi:10.7566/jpsj.90.124702

Cited by 2 publications

(1 citation statement)

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“…Due to the existence of flat bands in TDBG, there have been a lot of work on TDBG to understand the existence of strongly correlated phases and some of the important experimental breakthroughs in TDBG are spin-triplet superconductivity [255], correlated states in TDBG [113], tunable metal-insulator transition in doublelayer graphene hetero-structures [77], correlated electronhole state [256], tunable correlated states, and spin-polarized phases in twisted bilayer-bilayer graphene [257]. The manifestation of dielectric screening has also been studied in by Mukai et al [258]. Some other interesting works include Floquet engineering in TDBG [259], symmetry breaking in TDBG [260].…”

Section: Topics Not Covered In the Reviewmentioning

confidence: 99%

A primer on twistronics: a massless Dirac fermion’s journey to moiré patterns and flat bands in twisted bilayer graphene

Aggarwal¹,

Narula²,

Ghosh³

2023

J. Phys.: Condens. Matter

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The recent discovery of superconductivity in magic-angle twisted bilayer graphene has sparked a renewed interest in the strongly-correlated physics of $sp^2$ carbons, in stark contrast to preliminary investigations which were dominated by the one-body physics of the massless Dirac fermions. We thus provide a self-contained, theoretical perspective of the journey of graphene from its single-particle physics-dominated regime to the strongly-correlated physics of the flat bands. Beginning from the origin of the Dirac points in condensed matter systems, we discuss the effect of the superlattice on the Fermi velocity and Van Hove singularities in graphene and how it leads naturally to investigations of the moir'{e} pattern in van der Waals heterostructures exemplified by graphene-hexagonal boron-nitride and twisted bilayer graphene. Subsequently, we illuminate the origin of flat bands in twisted bilayer graphene at the magic angles by elaborating on a broad range of prominent theoretical works in a pedagogical way while linking them to available experimental support, where appropriate. We conclude by providing a list of topics in the study of the electronic properties of twisted bilayer graphene not covered by this review but may readily be approached with the help of this primer.

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