Anti-$\mathcal{PT}$ flatbands
Abstract
We consider tight-binding single particle lattice Hamiltonians which are invariant under an antiunitary antisymmetry: the anti- symmetry. The Hermitian Hamiltonians are defined on -dimensional non-Bravais lattices. For an odd number of sublattices, the anti- symmetry protects a flatband at energy . We derive the anti- 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- 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.
Cite
@article{arxiv.2108.01845,
title = {Anti-$\mathcal{PT}$ flatbands},
author = {Arindam Mallick and Nana Chang and Alexei Andreanov and Sergej Flach},
journal= {arXiv preprint arXiv:2108.01845},
year = {2022}
}
Comments
15 pages, 3 figures. Supplemental Material included. Similar to the published version. Comments are welcome