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.
- Received 23 August 2021
- Revised 7 December 2021
- Accepted 27 January 2022
DOI:https://doi.org/10.1103/PhysRevA.105.L021305
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