Berlin 2018 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 13: Poster Session I

HL 13.6: Poster

Monday, March 12, 2018, 17:30–19:30, Poster B

The Hofstadter Butterfly under periodic driving — •Martin Wackerl and John Schliemann — Institut für Theoretische Physik, Universität Regensburg

The focus is on externally driven graphene which is additonally in a magnetic field where the external driving is put into practice by polarized light. The Hofstadter buttery problem is treated in a rigerous manner. Then we generalize it to the case with a periodic driving, realized by linear and circular polarized light. We show some representative numerical results for different frequencies, intensities and polarizations. Finally, the topological properties of the Floquet-Hofstadter problem is characterized with Chern numbers. We compare the ground state Chern numbers for different frequencies and intensities. This work gives an analytical as well as a numerical approach to the above formulated system.