arXiv · 2108.01845
Anti-$\mathcal{PT}$ flatbands
Abstract
We consider tight-binding single particle lattice Hamiltonians which are invariant under an antiunitary antisymmetry: the anti-$\mathcal{PT}$ symmetry. The Hermitian Hamiltonians are defined on $d$-dimensional non-Bravais lattices. For an odd number of sublattices, the anti-$\mathcal{PT}$ symmetry protects a flatband at energy $E = 0$. We derive the anti-$\mathcal{PT}$ constraints on the Hamiltonian and use them to generate examples of generalized kagome networks in two and three lattice dimensions. Furthermore, we show that the anti-$\mathcal{PT}$ symmetry persists in the presence of uniform DC fields and ensures the presence of flatbands in the corresponding irreducible Wannier-Stark band structure. We provide examples of the Wannier-Stark band structure of generalized kagome networks in the presence of DC fields, and their implementation using Floquet engineering.
Explore related subjects
Keep this discovery
Arindam Mallick, Nana Chang, Alexei Andreanov, Sergej Flach. 2021-08-04. Anti-$\mathcal{PT}$ flatbands. https://doi.org/10.1103/physreva.105.l021305
Cite the original work for its findings. Save a collection to share your selection of sources.