Bilayer graphene under pressure: Electron-hole Symmetry Breaking, Valley Hall Effect, and Landau Levels

Abstract

The electronic structure of bilayer graphene under pressure develops very interesting features with an enhancement of the trigonal warping and a splitting of the parabolic touching bands at the K point of the reciprocal space into four Dirac cones, one at K and three along the T symmetry lines. As pressure is increased, these cones separate in reciprocal space and in energy, breaking the electron-hole symmetry. Due to their energy separation, their opposite Berry curvature can be observed in valley Hall effect experiments and in the structure of the Landau levels. Based on the electronic structure obtained by Density Functional Theory, we develop a low energy Hamiltonian that describes the effects of pressure on measurable quantities such as the Hall conductivity and the Landau levels of the system.

11 pages, 9 figures

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Cited by in corpus (10)

• First-principles investigation of graphene/MoS2 bilayer heterostructures using Tkatchenko-Scheffler van der Waals method
• Magnon valley Hall effect in CrI3-based vdW heterostructures
• Transport measurements on van der Waals heterostructures under pressure
• Pressure induced magnetism in rotated graphene bilayers
• Topological phase transition in magnon bands in a honeycomb ferromagnet driven by sublattice symmetry breaking
• Trigonal Warping, Satellite Dirac Points and Multiple Field Tuned Topological Transitions in Twisted Double Bilayer Graphene
• Signature of pressure-induced topological phase transition in ZrTe${}_5$
• Inducing a topological transition in graphene nanoribbons superlattices by external strain
• Landau Level Phases in Bilayer Graphene under Pressure at Charge Neutrality
• Generation of phonon quantum states and quantum correlations among single photon emitters in hexagonal boron nitride