Wackerl, Martin and Wenk, Paul and Schliemann, John (2019) Driven Hofstadter butterflies and related topological invariants. PHYSICAL REVIEW B, 100 (16): 165411. ISSN 2469-9950, 2469-9969
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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. It is shown how the deformation of the fractal structure of the spectrum depends on intensity and polarization. Thereby, the topological properties of the Hofstadter butterfly in the presence of the oscillating electric field are investigated. A thorough numerical analysis of not only the Chern numbers but also the W-3 invariants gives the appropriate insight into the topology of this driven system. This includes a comparison of a direct W-3 calculation to the method based on summing up Chern numbers of the truncated Floquet Hamiltonian.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BLOCH ELECTRONS; FLOQUET; STATES; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group John Schliemann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 25 Mar 2020 15:01 |
| Last Modified: | 06 Apr 2020 06:29 |
| URI: | https://pred.uni-regensburg.de/id/eprint/25998 |
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