Topological singularities and the general classification of Floquet–Bloch systems
Abstrak
Recent works have demonstrated that the Floquet–Bloch bands of periodically-driven systems feature a richer topological structure than their non-driven counterparts. The additional structure in the driven case arises from the periodicity of quasienergy, the energy-like quantity that defines the spectrum of a periodically-driven system. Here we develop a new paradigm for the topological classification of Floquet–Bloch bands, based on the time-dependent spectrum of the driven system's evolution operator throughout one driving period. Specifically, we show that this spectrum may host topologically-protected degeneracies at intermediate times, which control the topology of the Floquet bands of the full driving cycle. This approach provides a natural framework for incorporating the role of symmetries, enabling a unified and complete classification of Floquet–Bloch bands and yielding new insight into the topological features that distinguish driven and non-driven systems.
Topik & Kata Kunci
Penulis (2)
Frederik Nathan
M. Rudner
Akses Cepat
- Tahun Terbit
- 2015
- Bahasa
- en
- Total Sitasi
- 270×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1088/1367-2630/17/12/125014
- Akses
- Open Access ✓