Abstract
We investigate the changes in the energy spectrum of the graphene monolayer subjected to linear polarised laser beam and external periodically modulated static field (electric and magnetic). Floquet theory and the resonance approximation are used to analyse the energy spectrum and, in particular, the creation and the destruction of the Dirac-Weyl points. We found that at certain conditions the graphene is transformed into the two-dimensional Weyl metals, where each of the two original graphene Dirac cones is split into pairs of the Weyl cones. We also show that altering the laser’s beam incidence(tilting) angle may lead to appearing and disappearing of the pairs of Weyl points, the opening gap in the spectrum, and its efficient manipulation.
Highlights
The two-dimensional nature of graphene discovered in 2004 has enlightened the importance of potential applications of the 2D crystals [1] [2] [3] [4]
Having that in mind in this paper, we theoretically investigate the energy spectrum in single layered graphene superlattices controlled by the laser field, when simultaneously an external either electric or magnetic field is applied
-2-.02.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 kx Figure. 5: The surface contour plot of the energy-momentum dispersion, ! "#, "%, for a monolayer graphene subjected to in-plane static periodically modulated electric field and a linear polarised laser field tilted at the angle ! to the graphene plane: (a) the case when the polarisation of the electromagnetic laser field coincides with the direction of the modulated electrical field, i.e. ! = 0; Here we see a pair of the Weyl points located far apart from each other
Summary
The two-dimensional nature of graphene discovered in 2004 has enlightened the importance of potential applications of the 2D crystals [1] [2] [3] [4]. These confined electronic states may provide configurable transport channels for charge and spin. That interfacial states on zero-angle grain boundaries are topologically protected zero modes that are protected by a novel nonlocal chiral symmetry of the graphene Hamiltonian near its charge neutrality point or the Dirac point. The significance of this nonlocality was shown for the first time in Ref. We show that the spectra and the current flow of Dirac electrons in graphene can be controlled by altering the laser beam intensity and the incidence angle with respect to the graphene plane
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