Chiral model of twisted bilayer graphene realized in a monolayer

Abstract

We demonstrate that a single layer of graphene subject to a superlattice potential nearly commensurate to a $\sqrt{3}\times \sqrt{3}$ supercell exactly maps to the chiral model of twisted bilayer graphene, albeit with half as many degrees of freedom. We comprehensively review the properties of this ``half-chiral model,'' including the interacting phases stabilized at integer fillings and the effects of substrate-induced symmetry breaking. We list candidate substrates that could produce a superlattice potential on graphene with the correct periodicity to access the flat band limit. Experimental measurements on a half-chiral moire heterostructure, in which valley-skyrmions cannot form, could yield insights on the physics they mediate in twisted bilayer graphene.

References in corpus (18)

• Fractional Chern insulators in magic-angle twisted bilayer graphene
• Exact Landau Level Description of Geometry and Interaction in a Flatband
• Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides
• Topological and stacked flat bands in bilayer graphene with a superlattice potential
• Chiral Magic-Angle Twisted Bilayer Graphene in a Magnetic Field: Landau Level Correspondence, Exact Wavefunctions and Fractional Chern Insulators
• Engineering high quality graphene superlattices via ion milled ultra-thin etching masks
• Topological superconductivity in doped magnetic moiré semiconductors
• Supermoiré low-energy effective theory of twisted trilayer graphene
• Unconventional superconductivity due to interband polarization
• Multilayer graphene with a superlattice potential
• Symmetries as the guiding principle for flattening bands of Dirac fermions
• Designer Meron Lattice on the Surface of a Topological Insulator
• Universal signatures of Dirac fermions in entanglement and charge fluctuations
• Magic angle conditions for twisted 3D topological insulators
• Tailoring Dirac fermions by in-situ tunable high-order moire pattern in graphene-monolayer xenon heterostructure
• Dirac Fermion Cloning, Moir$\acute{\mathbf{e}}$ Flat Bands and Magic Lattice Constants in Epitaxial Monolayer Graphene
• Optoelectronic Fingerprints of Interference between Different Charge Carriers in Graphene Superlattices and Analogies to Twisted Graphene Bilayers
• Intrinsically-multilayer moiré heterostructures

Cited by in corpus (13)

• Ideal Chern bands are Landau levels in curved space
• Chiral limit and origin of topological flat bands in twisted transition metal dichalcogenide homobilayers
• Sublattice structure and topology in spontaneously crystallized electronic states
• Bridging the small and large in twisted transition metal dicalcogenide homobilayers: a tight binding model capturing orbital interference and topology across a wide range of twist angles
• Gate-tunable topological phases in superlattice modulated bilayer graphene
• Twist-angle evolution of the intervalley-coherent antiferromagnet in twisted WSe${}_2$
• Efficient prediction of superlattice and anomalous miniband topology from quantum geometry
• Correlated phases and topological phase transition in twisted bilayer graphene at one quantum of magnetic flux
• Topologically protected flatness in chiral moiré heterostructures
• Critical Filaments and Superconductivity in Quasiperiodic Twisted Bilayer Graphene
• Quantum-geometric dipole: a topological boost to flavor ferromagnetism in flat bands
• Quantum simulation of honeycomb lattice model by high-order moiré pattern
• Efficient prediction of topological superlattice bands with spin-orbit coupling