# Fractional Chern insulators in magic-angle twisted bilayer graphene

@inproceedings{Xie2021FractionalCI, title={Fractional Chern insulators in magic-angle twisted bilayer graphene}, author={Yonglong Xie and Andrew T. Pierce and Jeong-min Park and Daniel E. Parker and Eslam Khalaf and Patrick J. Ledwith and Yuan Cao and Seung Hwan Lee and Shaowen Chen and Patrick R Forrester and Kenji Watanabe and Takashi Taniguchi and Ashvin Vishwanath and Pablo Jarillo-Herrero and Amir Yacoby}, year={2021} }

1Department of Physics, Harvard University, Cambridge, MA 02138, USA 2Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA 3Research Center for Functional Materials, National Institute for Material Science, 1-1 Namiki, Tsukuba 305-0044, Japan 4International Center for Materials Nanoarchitectonics, National Institute for Material Science, 1-1 Namiki, Tsukuba 305-0044, Japan

#### 7 Citations

Chirality-dependent topological states in twisted double bilayer graphene

- Physics
- 2021

Department of Physics, University of Washington, Seattle, Washington, 98195, USA Department of Physics, Harvard University, Cambridge, MA, USA International Center for Materials Nanoarchitectonics,… Expand

Chiral Magic-Angle Twisted Bilayer Graphene in a Magnetic Field: Landau Level Correspondence, Exact Wavefunctions and Fractional Chern Insulators

- Physics
- 2021

We show that the flat bands in the chiral model of magic-angle twisted bilayer graphene remain exactly flat in the presence of a perpendicular magnetic field. This is shown by an exact mapping… Expand

Emergence of broken-symmetry states at half-integer band fillings in twisted bilayer graphene

- Physics
- 2021

Saisab Bhowmik, ∗ Bhaskar Ghawri, Nicolas Leconte, Samudrala Appalakondaiah, Mrityunjay Pandey, Phanibhusan S. Mahapatra, Dongkyu Lee, 5 K. Watanabe, T. Taniguchi, Jeil Jung, 5, † Arindam Ghosh, 4… Expand

Doping a moir\'e Mott Insulator: A t-J model study of twisted cuprates

- Physics
- 2021

We theoretically investigate twisted structures where each layer is composed of a strongly correlated material. In particular, we study a twisted t-J model of cuprate multilayers within the… Expand

Higher-Order Topological Superconductivity in Twisted Bilayer Graphene

- Physics
- 2021

We show that introducing spin-singlet or spin-triplet superconductivity into twisted bilayer graphene induces higher-order topological superconductivity. C2zT -protected corner states of Majorana… Expand

Stability, phase transitions, and numerical breakdown of fractional Chern insulators in higher Chern bands of the Hofstadter model

- Physics
- 2021

The Hofstadter model is a popular choice for theorists investigating the fractional quantum Hall effect on lattices, due to its simplicity, infinite selection of topological flat bands, and… Expand

A family of ideal Chern flat bands with arbitrary Chern number in chiral twisted graphene multilayers

- Physics
- 2021

We consider a family of twisted graphene multilayers consisting of n-untwisted chirally stacked layers, e.g. AB, ABC, etc, with a single twist on top of m-untwisted chirally stacked layers. Upon… Expand

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