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Bilayer twisting as a mean to isolate connected flat bands in a kagome lattice throughWigner crystallization*

Journal Article · · Chinese Physics. B

The physics of flat band is novel and rich but difficult to access. In this regard, recently twisting of bilayer van der Waals (vdW)-bounded two-dimensional (2D) materials has attracted much attention, because the reduction of Brillouin zone will eventually lead to a diminishing kinetic energy. Alternatively, one may start with a 2D kagome lattice, which already possesses flat bands at the Fermi level, but unfortunately these bands connect quadratically to other (dispersive) bands, leading to undesirable effects. Here, we propose, by first-principles calculation and tight-binding modeling, that the same bilayer twisting approach can be used to isolate the kagome flat bands. As the starting kinetic energy is already vanishingly small, the interlayer vdW potential is always sufficiently large irrespective of the twisting angle. As such the electronic states in the (connected) flat bands become unstable against a spontaneous Wigner crystallization, which is expected to have interesting interplays with other flat-band phenomena such as novel superconductivity and anomalous quantum Hall effect.

Research Organization:
Rensselaer Polytechnic Inst., Troy, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0002623
OSTI ID:
1850826
Journal Information:
Chinese Physics. B, Vol. 30, Issue 7; ISSN 1674-1056
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English

References (68)

Cyclotron resonance study of the electron and hole velocity in graphene monolayers journal August 2007
Space Dependent Fermi Velocity in Strained Graphene journal May 2012
High-Velocity Saturation in Graphene Encapsulated by Hexagonal Boron Nitride journal September 2017
Strain Engineering Modulates Graphene Interlayer Friction by Moiré Pattern Evolution journal September 2019
Twisted Bilayer Graphene: Moiré with a Twist journal August 2016
Superlattice structures in twisted bilayers of folded graphene journal December 2014
Tuning superconductivity in twisted bilayer graphene journal January 2019
Origin of Mott Insulating Behavior and Superconductivity in Twisted Bilayer Graphene journal September 2018
Chiral Spin Density Wave and d + i d Superconductivity in the Magic-Angle-Twisted Bilayer Graphene journal November 2018
Twisted Bilayer Graphene: A Phonon-Driven Superconductor journal June 2019
Topological Superconductivity in Twisted Multilayer Graphene journal August 2018
Unconventional superconductivity in magic-angle graphene superlattices journal March 2018
Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene journal October 2019
Strong Coupling Phases of Partially Filled Twisted Bilayer Graphene Narrow Bands journal June 2019
Maximized electron interactions at the magic angle in twisted bilayer graphene journal July 2019
Correlated insulating and superconducting states in twisted bilayer graphene below the magic angle journal September 2019
Charge-transfer insulation in twisted bilayer graphene journal December 2018
Charge order and broken rotational symmetry in magic-angle twisted bilayer graphene journal July 2019
Correlated insulator behaviour at half-filling in magic-angle graphene superlattices journal March 2018
Flat-Band Electronic Structure and Interlayer Spacing Influence in Rhombohedral Four-Layer Graphene journal August 2018
Possible nodeless s ± -wave superconductivity in twisted bilayer graphene journal July 2019
Spectroscopic signatures of many-body correlations in magic-angle twisted bilayer graphene journal July 2019
Cascade of electronic transitions in magic-angle twisted bilayer graphene journal June 2020
U1 snRNP regulates cancer cell migration and invasion in vitro journal January 2020
Correction: Corrigendum: Selectively enhanced photocurrent generation in twisted bilayer graphene with van Hove singularity journal July 2016
Resonance Raman spectroscopy of G-line and folded phonons in twisted bilayer graphene with large rotation angles journal September 2013
Twisting Bilayer Graphene Superlattices journal March 2013
Stranski–Krastanov and Volmer–Weber CVD Growth Regimes To Control the Stacking Order in Bilayer Graphene journal September 2016
Kinetic study of graphene growth: Temperature perspective on growth rate and film thickness by chemical vapor deposition journal August 2013
Large Variations of the Raman Signal in the Spectra of Twisted Bilayer Graphene on a BN Substrate journal March 2012
Emerging properties of two-dimensional twisted bilayer materials* journal September 2019
Multiflat Bands and Strong Correlations in Twisted Bilayer Boron Nitride: Doping-Induced Correlated Insulator and Superconductor journal July 2019
Topological polaritons and photonic magic angles in twisted α-MoO3 bilayers journal June 2020
Continuum models for twisted bilayer graphene: Effect of lattice deformation and hopping parameters journal May 2019
Twistronics: Manipulating the electronic properties of two-dimensional layered structures through their twist angle journal February 2017
Induced spin-orbit coupling in twisted graphene–transition metal dichalcogenide heterobilayers: Twistronics meets spintronics journal August 2019
Structural and Electronic Properties of T Graphene: A Two-Dimensional Carbon Allotrope with Tetrarings journal May 2012
Proximity-Induced Ferromagnetism in Graphene Revealed by the Anomalous Hall Effect journal January 2015
Biphenylene and Phagraphene as Lithium Ion Battery Anode Materials journal June 2017
Nanoribbons with Nonalternant Topology from Fusion of Polyazulene: Carbon Allotropes beyond Graphene journal October 2019
Tunability of Supramolecular Kagome Lattices of Magnetic Phthalocyanines Using Graphene-Based Moiré Patterns as Templates journal October 2009
s d 2 Graphene: Kagome Band in a Hexagonal Lattice journal December 2014
Flat Band and Hole-induced Ferromagnetism in a Novel Carbon Monolayer journal December 2019
Ferromagnetism in the Hubbard models with degenerate single-electron ground states journal September 1992
Ferromagnetism in the Hubbard model on line graphs and further considerations journal July 1991
On the Interaction of Electrons in Metals journal December 1934
Doped Twisted Bilayer Graphene near Magic Angles: Proximity to Wigner Crystallization, Not Mott Insulation journal September 2018
Flat Bands and Wigner Crystallization in the Honeycomb Optical Lattice journal August 2007
Disordered flat bands on the kagome lattice journal December 2018
Spontaneous Quantum Hall States in Chirally Stacked Few-Layer Graphene Systems journal April 2011
Quantum Valley Hall Effect, Orbital Magnetism, and Anomalous Hall Effect in Twisted Multilayer Graphene Systems journal August 2019
High-temperature surface superconductivity in topological flat-band systems journal June 2011
Graphite, Graphene, and the Flat Band Superconductivity journal April 2018
Nearly Flatbands with Nontrivial Topology journal June 2011
Properties of spin–orbit-coupled Bose–Einstein condensates journal June 2016
Flat bands in fractal-like geometry journal May 2018
Ferromagnetism and Wigner crystallization in kagome graphene and related structures journal July 2018
Electronic structure of turbostratic graphene journal April 2010
Band structure of twisted bilayer graphene: Emergent symmetries, commensurate approximants, and Wannier obstructions journal August 2018
A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu journal April 2010
Revised Damping Parameters for the D3 Dispersion Correction to Density Functional Theory journal May 2016
The Slater Koster tight-binding method: a computationally efficient and accurate approach journal March 2003
Energy spectrum and quantum Hall effect in twisted bilayer graphene journal May 2012
Maximally Localized Wannier Orbitals and the Extended Hubbard Model for Twisted Bilayer Graphene journal September 2018
Localization of Dirac Electrons in Rotated Graphene Bilayers journal March 2010
Flat-Bands on Partial Line Graphs –Systematic Method for Generating Flat-Band Lattice Structures– journal July 2005
Perspective: Photonic flatbands journal July 2018
Isolated flat bands and spin-1 conical bands in two-dimensional lattices journal August 2010

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