Topological resonace in graphen-like materials*

In topological materials, interacting with short and strong optical pulses, electrons can accumulate a topological phase during the pulse. Such phase can compensate the dynamic phase resulting in topological resonance, which is visible as a large inter-band transfer of electron population. We study theoretically the topological resonance in materials of the gapped multilayer graphene type. We show that the resonance can be observed only in the systems with finite bandgap. For monolayer graphene, the topological resonance can occur only in the field of an elliptically polarized pulse while for multilayer graphene, the resonance  can also be realized in a linearly polarized pulse.