Electronic properties of slid bilayer graphene: effective models in low energy range

Sy-Ta Ho (), Hoang Anh Le, Nguyen Van Duy and Do Van-Nam ()
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Sy-Ta Ho: National University of Civil Engineering (NUCE)
Hoang Anh Le: Phenikaa Institute for Advanced Study (PIAS), Phenikaa University
Nguyen Van Duy: Phenikaa Institute for Advanced Study (PIAS), Phenikaa University
Do Van-Nam: Phenikaa Institute for Advanced Study (PIAS), Phenikaa University

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 10, 1-9

Abstract: Abstract A generic tight-binding model for 2pz electrons in bilayer graphene (BLG) systems is used to derive the expression of effective Hamiltonians for low-energy states around the K-points of hexagonal Brillouin zone. The obtained effective Hamiltonians are validated for two kinds of AA-like and AB-like slid bilayer graphene (SBG). It is shown that, for the former case, the electronic structure is characterized by a gauge vector field which couples to the sliding vector to deform the band structure of the AA-stacked configuration as a perturbation. For the latter case, since the A–B interlayer coupling is the most dominant, it allows separating the energy bands and lowering the 4 × 4 Hamiltonian into a 2 × 2 effective model. A gauge vector field also appears, but different from the AA-like SBGs, it plays the role similar to an in-plane magnetic field. Graphical abstract

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1140/epjb/e2020-10328-6

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