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Driven Hofstadter butterflies and related topological invariants

Wackerl, Martin ; Wenk, Paul ; Schliemann, John


The properties of the Hofstadter butterfly, a fractal, self-similar spectrum of a two-dimensional electron gas, are studied in the case where the system is additionally illuminated with monochromatic light. This is accomplished by applying Floquet theory to a tight-binding model on the honeycomb lattice subjected to a perpendicular magnetic field and either linearly or circularly polarized light. ...


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