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Abstract
We consider a spatially periodic (cosine) potential as a model for a crystalline solid that interacts with a harmonically oscillating external electric field. This problem is periodic both in space and time and can be solved analytically using the Kramers-Henneberger co-moving frame. By analyzing the stability of the closely related Mathieu-type differential equation, the electronic band structure can be obtained. We demonstrate that by changing the field intensity, the width of the zero-field band gaps can be drastically modified, including the special case when the external field causes the band gaps to disappear.
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1 Wigner Research Centre for Physics of the Hungarian Academy of Sciences Konkoly-Thege Miklós út 29 - 33, H-1121 Budapest, Hungary; ELI-HU Nonprofit Kft., Dugonics Tér 13, H-6720 Szeged, Hungary
2 ELI-HU Nonprofit Kft., Dugonics Tér 13, H-6720 Szeged, Hungary; Department of Theoretical Physics, University of Szeged, Tisza L. körút 84 - 86, H-6720 Szeged, Hungary