3 years ago

Revisiting the Floquet-Bloch theory for an exactly solvable model of one-dimensional crystals in strong laser fields.

Tatsuhiko N. Ikeda

We revisit the Floquet-Bloch eigenstates of a one-dimensional electron gas in the presence of the periodic Kronig-Penny potential and an oscillating electronic field. Considering the appropriate boundary conditions for the wave function and its derivative, we derive the determining equations for the Floquet-Bloch eigenstates, which are represented by a single-infinite matrix rather than a double-infinite matrix needed for a generic potential. We numerically solve these equations, showing that there appear anticrossings at the crossing points of the different Floquet bands as well as the band gaps at the edges and the center of the Brillouin zone.

Publisher URL: http://arxiv.org/abs/1801.08235

DOI: arXiv:1801.08235v1

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