Designing Flat Band by Strain

Abstract

We study the effects of heterostrain on moiré bands in twisted bilayer graphene and bilayer transition metal dichalcogenide (TMD) systems. For bilayer graphene with twist angle near $1^{\circ }$, we show that heterostrain significantly increases the energy separation between conduction and valence bands as well as the Dirac velocity at charge neutrality, which resolves several puzzles in scanning tunneling spectroscopy and quantum oscillation experiments at once. For bilayer TMD, we show that applying small heterostrain generally leads to flat moiré bands that are highly tunable.

arXiv comment10 pages, 11 figures

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Cited by in corpus (142)

• Charge-Order and Broken Rotational Symmetry in Magic Angle Twisted Bilayer Graphene
• Spectroscopic signatures of many-body correlations in magic angle twisted bilayer graphene
• Strongly Correlated Chern Insulators in Magic-Angle Twisted Bilayer Graphene
• Mapping the twist angle and unconventional Landau levels in magic angle graphene
• Superconductivity without insulating states in twisted bilayer graphene stabilized by monolayer WSe${}_2$
• Ground State and Hidden Symmetry of Magic Angle Graphene at Even Integer Filling
• Strain fields in twisted bilayer graphene
• One-Dimensional Moiré Excitons in Transition-Metal Dichalcogenide Heterobilayers
• Magic of high order van Hove singularity
• Moiré quantum chemistry: charge transfer in transition metal dichalcogenide superlattices
• Berry curvature dipole senses topological transition in a moiré superlattice
• Nematic topological semimetal and insulator in magic angle bilayer graphene at charge neutrality
• Strain-induced quantum phase transitions in magic angle graphene
• Twistons in a Sea of Magic
• Vortexability: A Unifying Criterion for Ideal Fractional Chern Insulators
• Giant Orbital Magneto-electric effect and Current-driven Magnetization Switching in Twisted Bilayer Graphene
• Theory of zero-field superconducting diode effect in twisted trilayer graphene
• Tunable electrochemistry with moiré flat bands and topological defects at twisted bilayer graphene
• Electronic band structure and pinning of Fermi energy to van Hove singularities in twisted bilayer graphene: a self consistent approach
• Giant magnetic field from moiré induced Berry phase in homobilayer semiconductors
• Twisted bilayer graphene I. Matrix elements, approximations, perturbation theory and a $k\cdot p$ 2-Band model
• Programming moiré patterns in 2D materials by bending
• Universal moiré nematic phase in twisted graphitic systems
• Global Phase Diagram of the Normal State of Twisted Bilayer Graphene
• Correlated Hofstadter Spectrum and Flavor Phase Diagram in Magic Angle Graphene
• Twistronics: A turning point in 2D quantum materials
• Disorder in Twisted Bilayer Graphene
• Magic-angle helical trilayer graphene
• Imaging moiré deformation and dynamics in twisted bilayer graphene
• Landau Level Degeneracy in Twisted Bilayer Graphene: Role of Symmetry Breaking
• Tunable large Berry dipole in strained twisted bilayer graphene
• Classification of Critical Points in Energy Bands Based on Topology, Scaling and Symmetry
• Giant nonlinear Hall effect in strained twisted bilayer graphene
• Moiré-pattern fluctuations and electron-phason coupling in twisted bilayer graphene
• Heterostrain rules the flat-bands in magic-angle twisted graphene layers
• Experimental evidence for orbital magnetic moments generated by moiré-scale current loops in twisted bilayer graphene
• Intrinsic nonlinear Hall effect and gate-switchable Berry curvature sliding in twisted bilayer graphene
• General continuum model for twisted bilayer graphene and arbitrary smooth deformations
• Nonlinear anomalous Hall effects probe topological phase-transitions in twisted double bilayer graphene
• Pseudo-magnetic fields, particle-hole asymmetry, and microscopic effective continuum Hamitonians of twisted bilayer graphene
• Strain induced quasi-unidimensional channels in twisted moiré lattices
• Theory of tunable flux lattices in the homobilayer moiré of twisted and uniformly strained transition metal dichalcogenides
• Detecting symmetry breaking in magic angle graphene using scanning tunneling microscopy
• Reconstruction of moiré lattices in twisted transition metal dichalcogenide bilayers
• Skyrmions in twisted bilayer graphene: stability, pairing, and crystallization
• Designing Moiré Patterns by Strain
• Nonlinear Hall Effects in Strained Twisted Bilayer WSe${}_2$
• Twistronics in graphene-based van der Waals structures
• Twistronics versus straintronics in twisted bilayers of graphene and transition metal dichalcogenides
• Engineering transistor-like optical gain in two-dimensional materials with Berry curvature dipoles
• Measuring local moiré lattice heterogeneity of twisted bilayer graphene
• Moiré Engineering in 2D Heterostructures with Process-Induced Strain
• Unusual magnetotransport in twisted bilayer graphene from strain-induced open Fermi surfaces
• Degradation of phonons in disordered moiré superlattices
• Two-dimensional Kagome Materials: Theoretical Insights, Experimental Realizations, and Electronic Structures
• Moiré disorder effect in twisted bilayer graphene
• Electric-field-tunable electronic nematic order in twisted double-bilayer graphene
• Engineering flat bands in twisted-bilayer graphene away from the magic angle with chiral optical cavities
• High-order Van Hove singularities and their connection to flat bands
• An atomistic insight into moiré reconstruction in Twisted Bilayer Graphene beyond the magic angle
• Local spectroscopy of a gate-switchable moiré quantum anomalous Hall insulator
• Giant atomic swirl in graphene bilayers with biaxial heterostrain
• Strain-induced large injection current in twisted bilayer graphene
• Electron dynamics in strained graphene
• Kekulé spiral order in magic-angle graphene: a density matrix renormalization group study
• Interaction-Enhanced Topological Hall Effects in Strained Twisted Bilayer Graphene
• Spin skyrmion gaps as signatures of strong-coupling insulators in magic-angle twisted bilayer graphene
• Layer pseudospin dynamics and genuine non-Abelian Berry phase in inhomogeneously strained moiré pattern
• Strained Bilayer Graphene, Emergent Energy Scales, and Moire Gravity
• Pair density wave and reentrant superconducting tendencies originating from valley polarization
• Quantum plasmonic non-reciprocity in parity-violating magnets
• Designer Meron Lattice on the Surface of a Topological Insulator
• Narrow bands in magnetic field and strong-coupling Hofstadter spectra
• High transmission in twisted bilayer graphene with angle disorder
• Kekulé spiral order at all nonzero integer fillings in twisted bilayer graphene
• Lithium intercalation in MoS${}_2$ bilayers and implications for moiré flat bands
• Gate-defined wires in twisted bilayer graphene: from electrical detection of inter-valley coherence to internally engineered Majorana modes
• Spectroscopy of the Fractal Hofstadter Energy Spectrum
• Machine Learning Microscopic Form of Nematic Order in twisted double-bilayer graphene
• Twist versus heterostrain control of optical properties of moiré exciton minibands
• Luminescence anomaly of dipolar valley excitons in homobilayer semiconductor moiré superlattices
• Two-dimensional weak-type topological insulators in inversion symmetric crystals
• Effects of heterostrain and lattice relaxation on optical conductivity of twisted bilayer graphene
• Strain-induced excitonic instability in twisted bilayer graphene
• Orbital Orders and non-Fermi Liquid in Moiré systems
• A primer on twistronics: A massless Dirac fermion's journey to moiré patterns and flat bands in twisted bilayer graphene
• Theory of correlated Chern insulators in twisted bilayer graphene
• In-plane orbital magnetization as a probe for symmetry breaking in strained twisted bilayer graphene
• Optical Conductivity of Twisted Bilayer Graphene Near the Magic Angle
• Kekulé spirals and charge transfer cascades in twisted symmetric trilayer graphene
• Intrinsically-multilayer moiré heterostructures
• Nonlocal Moments in the Chern Bands of Twisted Bilayer Graphene
• Theory of intrinsic acoustic plasmons in twisted bilayer graphene
• Approximate symmetries, insulators, and superconductivity in continuum-model description of twisted WSe${}_2$
• One-Dimensional Moiré Physics and Chemistry in Heterostrained Bilayer Graphene
• Intrinsic nonreciprocal bulk plasmons in noncentrosymmetric magnetic systems
• Strain Disorder and Gapless Intervalley Coherent Phase in Twisted Bilayer Graphene
• Generating coherent phonon waves in narrow-band materials: a twisted bilayer graphene phaser
• Dimensional reduction from magnetic field in moiré superlattices
• Interlayer electric multipoles induced by in-plane field from quantum geometric origins
• Theory of ARPES in Graphene-Based Moiré Superlattices
• Chiral SO(4) spin-valley density wave and degenerate topological superconductivity in magic-angle-twisted bilayer-graphene
• Analytical solution for the relaxed atomic configuration of twisted bilayer graphene including heterostrain
• Twisted bilayer graphene reveals its flat bands under spin pumping
• Moire-enabled topological superconductivity in twisted bilayer graphene
• Textured Exciton Insulators
• Phonons of electronic crystals in two-dimensional semiconductor moiré patterns
• Anderson's theorem for correlated insulating states in twisted bilayer graphene
• Tracing out Correlated Chern Insulators in Magic Angle Twisted Bilayer Graphene
• Diagrammatic perturbation approach to moiré bands in twisted bilayer graphene
• Influence of different exchange-correlation potentials on twisted structures of bilayer XS2 (X= Mo, Cr)
• Flat bands and superconductivity induced by periodic strain in monolayer graphene
• Emergence of Cascading Flat Bands in Breathing Superlattices
• Layer Coherence Origin of Planar Hall Effect: from Charge to Multipole and Valley
• Designing Moire Patterns by Shearing
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Fermion-fermion interaction driven phase transitions in rhombohedral trilayer graphene
• Atomic relaxation and flat bands in strain-engineered transition metal dichalcogenide bilayer moiré systems
• Electronic structure and transport in materials with flat bands: 2D materials and quasicrystals
• Experimental evidence of the topological obstruction in twisted bilayer graphene
• Identifying Instabilities with Quantum Geometry in Flat Band Systems
• Geometrical properties of strained and twisted moiré heterostructures
• Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene
• Band theory for heterostructures with interface superlattices
• Chiral excitonic systems in twisted bilayers from Förster coupling and unconventional excitonic Hall effects
• Gate-defined single-electron transistors in twisted bilayer graphene
• Correlation effects in magic-angle twisted bilayer graphene: An auxiliary-field quantum Monte Carlo study
• Dirac quantum criticality in twisted double bilayer transition metal dichalcogenides
• Twistraintronics in Square Moire Superlattices of Stacked Graphene Layers
• Review of the tight-binding method applicable to the properties of moiré superlattices
• Mean-field Modelling of Moiré Materials: A User's Guide with Selected Applications to Twisted Bilayer Graphene
• Effective K valley Hamiltonian for TMD bilayers under pressure and application to twisted bilayers with pressure-induced topological phase transitions
• Magic angle and plasmon mode engineering in twisted trilayer graphene with pressure
• Modulation of quantum geometry and its coupling to pseudo-electric field by dynamic strain
• Local phase-space Berry curvature and Hall transport in textured twisted bilayer graphene
• Scalable and deterministic construction of moiré superlattice in 2D materials using stressor films
• Link between thermodynamic correlation signatures and superconductivity in twisted trilayer graphene
• Straintronics and twistronics in bilayer graphene
• Moiré-driven equilibrium of perturbations in moiré systems
• Tuning Terahertz Optomechanics of MoS2 Bilayers with Homogeneous In-plane Strain
• Twister: Construction and structural relaxation of commensurate moiré superlattices
• Dislocation Patterning as a Mechanism for Flat Band Formation