Electrically tunable gauge fields in tiny-angle twisted bilayer graphene

Abstract

Twisted bilayer graphene has recently attracted a lot of attention for its rich electronic properties and tunability. Here we show that for very small twist angles, $\alpha \ll 1^{\circ }$, the application of a perpendicular electric field is mathematically equivalent to a new kind of artificial gauge field. This identification opens the door for the generation and detection of pseudo-Landau levels in graphene platforms within robust setups which do not depend on strain engineering and therefore can be realistically harvested for technological applications. Furthermore, this new artificial gauge field leads to the development of highly localized modes associated with flat bands close to charge neutrality which form an emergent Kagome lattice in real space. Our findings indicate that for tiny angles, biased twisted bilayer graphene is a promising platform which can realize frustrated lattices of highly localized states, opening a new direction for the investigation of strongly correlated phases of matter.

13 pages, 8 figures

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• Mean-field theory for superconductivity in twisted bilayer graphene
• Collective Excitations of Quantum Anomalous Hall Ferromagnets in Twisted Bilayer Graphene
• Antiferromagnetically ordered Mott insulator and $d+id$ superconductivity in twisted bilayer graphene: A quantum Monte carlo study
• Flat bands and perfect metal in trilayer moiré graphene
• Flat-Bands-Enabled Triplet Excitonic Insulator in a Di-atomic Kagome Lattice
• Giant oscillations in a triangular network of one-dimensional states in marginally twisted graphene
• Large-area, periodic, and tunable intrinsic pseudo-magnetic fields in low-angle twisted bilayer graphene
• Electrically Tunable Flat Bands and Magnetism in Twisted Bilayer Graphene
• Flat Bands in Twisted Bilayers of Two-Dimensional Polar Materials
• Heterostrain engineering on twisted graphene bilayer around the first magic angle
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• Topological and stacked flat bands in bilayer graphene with a superlattice potential
• Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene
• Gate-Tunable Fractional Chern Insulators in Twisted Double Bilayer Graphene
• Magnetism near half-filling of a van Hove singularity in twisted graphene bilayer
• Perfect one-dimensional chiral states in biased twisted bilayer graphene
• Ferromagnetism and superconductivity in twisted double bilayer graphene
• Impurity-induced triple point fermions in twisted bilayer graphene
• Identification of superconducting pairing symmetry in twisted bilayer graphene using in-plane magnetic field and strain
• SU(4) Heisenberg model on the honeycomb lattice with exchange-frustrated perturbations: implications for twistronics and Mott insulators
• Electrical band flattening, valley flux, and superconductivity in twisted trilayer graphene
• Chiral zigzag modes and flatbands in network models of twisted bilayer graphene
• Aharonov-Bohm Oscillations in Minimally Twisted Bilayer Graphene
• Spin magnetometry as a probe of stripe superconductivity in twisted bilayer graphene
• Twistronics in graphene-based van der Waals structures
• Multi-scale lattice relaxation in general twisted trilayer graphenes
• Mechanisms of Andreev reflection in quantum Hall graphene
• Tunable Sample-wide Electronic Kagome Lattice in Low-angle Twisted Bilayer Graphene
• Hofstadter butterfly and Floquet topological insulators in minimally twisted bilayer graphene
• Current-induced reversal of anomalous Hall conductance in twisted bilayer graphene
• Coupled superfluidity of binary Bose mixtures in two dimensions
• Edge states, corner states, and flat bands in a two-dimensional $\mathcal{P}\mathcal{T}$ symmetric system
• Lowest-energy Moiré Band Formed by Dirac Zero Modes in Twisted Bilayer Graphene
• Electron-phonon and electron-electron interaction effects in twisted bilayer graphene
• Defect-induced magnetism and Yu-Shiba-Rusinov states in twisted bilayer graphene
• DMRG study of strongly interacting ${\mathbb{Z}}_2$ flatbands: a toy model inspired by twisted bilayer graphene
• Multilayer graphene with a superlattice potential
• Correlations in the elastic Landau level of spontaneously buckled graphene
• Metallic Network of Topological Domain Walls
• Correlation-induced valley topology in buckled graphene superlattices
• Spontaneous Valley Spirals in Magnetically Encapsulated Twisted Bilayer Graphene
• Energetics and Structure of Domain Wall Networks in Minimally Twisted Bilayer Graphene under Strain
• Valley-Current Splitter in Minimally Twisted Bilayer Graphene
• Two phases with different domain wall networks and a reentrant phase transition in bilayer graphene under strain
• Charge density wave and finite-temperature transport in minimally twisted bilayer graphene
• Topological Mixed Valence Model for Twisted Bilayer Graphene
• Exchange-bias controlled correlations in magnetically encapsulated twisted van der Waals dichalcogenides
• Spin-orbit correlations and exchange-bias control in twisted Janus dichalcogenide multilayers
• Electrically tunable correlated domain wall network in twisted bilayer graphene
• Effective Floquet model for minimally twisted bilayer graphene
• Realizing One-dimensional Metallic States in Graphene via Periodically Coupled Zeroth Pseudo-Landau Levels
• Quantum Hall interferometry in triangular domains of marginally twisted bilayer graphene
• Localized states coupled to a network of chiral modes in minimally twisted bilayer graphene
• Elastic gauge fields and zero-field 3D quantum Hall effect in hyperhoneycomb lattices
• Elastic Screening of Pseudogauge Fields in Graphene
• Optical Hall response of bilayer graphene: the manifestation of chiral hybridised states in broken mirror symmetry lattices
• Supercell Wannier functions and a faithful low-energy model for Bernal bilayer graphene
• Breakdown of order-fractionalization in the CPT model
• Correlated states in super-moiré materials with a kernel polynomial quantics tensor cross interpolation algorithm
• Probing valley phenomena with gate-defined valley splitters
• Tuning monolayer superconductivity in twisted NbSe${}_2$ graphene heterostructures
• Network of chiral one-dimensional channels and localized states emerging in a moiré system
• Van der Waals Heterostructure Pt${}_2$HgSe${}_3$/CrI${}_3$ for Topological Valleytronics
• Direct observation of magneto-electric Aharonov-Bohm effect in moiré-scale quantum paths of minimally twisted bilayer graphene
• Network model and four-terminal transport in minimally twisted bilayer graphene
• Designer quantum matter in van der Waals heterostructures
• Coupled-wire descriptions of unconventional quantum states in twisted nanostructures
• Straintronics and twistronics in bilayer graphene