Strained bilayer graphene: Band structure topology and Landau level spectrum

Abstract

We show that topology of the low-energy band structure in bilayer graphene critically depends on mechanical deformations of the crystal which may easily develop in suspended graphene flakes. We describe the Lifshitz transition that takes place in strained bilayers upon splitting the parabollic bands at intermediate energies into several Dirac cones at the energy scale of few meV. Then, we show how this affects the electron Landau level spectra and the quantum Hall effect.

slightly over 4 pages, 3 figures, updated discussion and references; almost identical to the published version

References in corpus (8)

• The electronic properties of graphene
• Ultrahigh electron mobility in suspended graphene
• Suspended Graphene: a bridge to the Dirac point
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• A tight-binding approach to uniaxial strain in graphene
• A new magnetic field dependence of Landau levels on a graphene like structure
• Local Compressibility Measurements of Correlated States in Suspended Bilayer Graphene
• Low density ferromagnetism in biased bilayer graphene

Cited by in corpus (33)

• The electronic properties of bilayer graphene
• Interlayer interaction in general incommensurate atomic layers
• Competing Nematic, Anti-ferromagnetic and Spin-flux orders in the Ground State of Bilayer Graphene
• Berry Curvature Dipole in Strained Graphene: a Fermi Surface Warping Effect
• Nonlinear Hall effect with time-reversal symmetry: Theory and material realizations
• Charged-phonon theory and Fano effect in the optical spectroscopy of bilayer graphene
• Magnetic ratchet effect in bilayer graphene
• Twisted bilayer graphene revisited: minimal two-band model for low-energy bands
• Landau Levels in Uniaxially Strained Graphene: A Geometrical Approach
• Intraband electron focusing in bilayer graphene
• Interaction-induced insulating state in thick multilayer graphene
• Merging Dirac points and topological phase transitions in the tight-binding model on the generalized honeycomb lattice
• Strained Bilayer Graphene, Emergent Energy Scales, and Moire Gravity
• Strain-induced modulation of Dirac cones and van Hove singularities in twisted graphene bilayer
• Polarization dependence of double resonant Raman scattering band in bilayer graphene
• Hopping-resolved electron-phonon coupling in bilayer graphene
• Coexistence and competition of nematic and gapped states in bilayer graphene
• Pseudo-magnetic field distribution and pseudo-Landau levels in suspended graphene flakes
• Atomic configuration controlled photocurrent in van der Waals homostructures
• Kagomé network of chiral miniband-edge states in double-aligned graphene-hexagonal boron nitride structures
• Temperature Dependent Zero-Field Splittings in Graphene
• Confining and repulsive potentials from effective non-Abelian gauge fields in graphene bilayers
• Built-in Bernal gap in large-angle-twisted monolayer-bilayer graphene
• Strain dependent conductivity in biased bilayer graphene
• Engineering nonlinear Hall effect in bilayer graphene/black phosphorus heterostructures
• Stability of Weyl node merging processes under symmetry constraints
• Many-body effects, orbital mixing and cyclotron resonance in bilayer graphene
• A generalized framework for straintronics in 2D quantum materials using group theory
• Engineering of Chern number of topological bands in bilayer graphene by in-plane magnetic field and electrical bias
• Optical manifestations of symmetry breaking in bilayer graphene
• Strain-induced stacking transition in bilayer graphene
• Intrinsic nonlinear valley Nernst effect in the strained bilayer graphene
• Magnetic quantization in multilayer graphenes