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Fractal Butterflies of Dirac Fermions in Monolayer and Bilayer graphene
Tapash Chakraborty, Vadym M. Apalkov
We present an overview of the theoretical understanding of Hofstadter butterflies in monolayer and bilayer graphene. After a brief introduction on the past work in conventional sem…
Tunability of the Fractional Quantum Hall States in Buckled Dirac Materials
Vadym M. Apalkov, Tapash Chakraborty
We report on the fractional quantum Hall states of germanene and silicene where one expects a strong spin-orbit interaction. This interaction causes an enhancement of the electron-…
Wannier-Stark states of graphene monolayer in strong electric field
Hamed Koochaki Kelardeh, Vadym Apalkov, Mark I. Stockman
We find theoretically energy spectrum of a graphene monolayer in a strong constant electric field using a tight-binding model. Within a single band, we find quantized equidistant e…
Interaction of graphene monolayer with ultrashort laser pulse
Hamed Koochaki Kelardeh, Vadym Apalkov, Mark I. Stockman
We study the interaction of graphene with ultrashort few femtosecond long optical pulse. For such a short pulse, the electron dynamics is coherent and is described within the tight…