Corpus ID: 236318266

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 

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References

SHOWING 1-10 OF 44 REFERENCES
Unconventional sequence of correlated Chern insulators in magic-angle twisted bilayer graphene
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,Expand
Competing zero-field Chern insulators in Superconducting Twisted Bilayer Graphene
The discovery of magic angle twisted bilayer graphene (MATBG) has unveiled a rich variety of superconducting, magnetic and topologically nontrivial phases. The existence of all these phases in oneExpand
Superlattice-Induced Insulating States and Valley-Protected Orbits in Twisted Bilayer Graphene.
TLDR
Electronic transport measurements of high mobility small angle TBLG devices showing clear evidence for insulating states at the superlattice band edges, with thermal activation gaps several times larger than theoretically predicted. Expand
Correlation-driven topological phases in magic-angle twisted bilayer graphene.
TLDR
This work uncovers the existence of six topological phases that arise from integer fillings in finite fields and that originate from a cascade of symmetry-breaking transitions driven by correlations. Expand
Symmetry-broken Chern insulators and Rashba-like Landau-level crossings in magic-angle bilayer graphene
Flat-bands in magic angle twisted bilayer graphene (MATBG) have recently emerged as a rich platform to explore strong correlations, superconductivity and mag-netism. However, the phases of MATBG inExpand
High-temperature fractional quantum Hall states.
We show that a suitable combination of geometric frustration, ferromagnetism, and spin-orbit interactions can give rise to nearly flatbands with a large band gap and nonzero Chern number. PartialExpand
Local compressibility measurements of correlated states in suspended bilayer graphene.
TLDR
Local compressibility measurements of a suspended graphene bilayer are reported, indicating the existence of a zero-field ordered state and consistent with the formation of either an anomalous quantum Hall state or a nematic phase with broken rotational symmetry. Expand
Unconventional superconductivity in magic-angle graphene superlattices
TLDR
The realization of intrinsic unconventional superconductivity is reported—which cannot be explained by weak electron–phonon interactions—in a two-dimensional superlattice created by stacking two sheets of graphene that are twisted relative to each other by a small angle. Expand
Moiré bands in twisted double-layer graphene
TLDR
This work addresses the electronic structure of a twisted two-layer graphene system, showing that in its continuum Dirac model the moiré pattern periodicity leads to moirÉ Bloch bands. Expand
Exact continuum model for low-energy electronic states of twisted bilayer graphene
We introduce a physically motivated minimal model for the electronic structure of twisted bilayer graphene (tBLG), which incorporates the crucial role of lattice relaxation. Our model, based on $kExpand
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