Abstract
One of the most striking properties of graphene is the relativistic-like Dirac-Cone spectrum of charge carriers. By applying high-frequency laser fields, the system can be described with the use of similar spectrum which is based on a concept of electron quasi-energy. There in this spectrum a creation and annihilation of new Dirac points and cones as well as opening a gap may arise. This allows controlling electron motion without applying DC periodic fields which are effectively described by graphene superlattices. Here we demonstrate that coherent electromagnetic fields applied to graphene can generate new Dirac and Weyl points, induce Lifshitz quantum phase transition for slightly doped graphene and produce an anisotropy of the Dirac cones, which can be even infinite.Graphical abstract
Highlights
Graphene has gained a huge interest since it has been discovered [1,2]
That will allow a manipulation of Dirac points and cones such as suggested in references [6,7] as well as a creation of new 2D Weyl points and hyperbolic Dirac phase [8]
The Weyl point are formed mostly in semimetal and there are very robust in 3D space [14], e.g. different classes of topological Weyl semimetals have been described [8]
Summary
Graphene has gained a huge interest since it has been discovered [1,2]. It is the basic structuring unit for building all graphitic materials [3]. In order to maintain the carriers’ high mobility in graphene, its energy spectrum should have linear Dirac form [5]. The Weyl point are formed mostly in semimetal and there are very robust in 3D space [14], e.g. different classes of topological Weyl semimetals have been described [8] One of these types is the 3D Dirac semimetal is distinguished by its Dirac cone having a fourfold degeneracy. That changing quasi-energy spectrum anisotropy may induce interesting anisotropic graphene properties, e.g. the Klein tunnelling induced by the laser light irradiation. We believe that such an effect can be experimentally verified
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