Related papers: Anti-$\mathcal{PT}$ flatbands

Anti-$\mathcal{PT}$ flatbands

URL: http://arxiv.org/abs/2108.01845v2
Date: Sat, 5 Mar 2022 11:01:11 GMT
Title: Anti-$\mathcal{PT}$ flatbands
Authors: Arindam Mallick, Nana Chang, Alexei Andreanov, and Sergej Flach
Abstract summary: Hermitian Hamiltonians are defined on $d$-dimensional non-Bravais lattices. We derive the anti-$mathcalPT$ constraints on the Hamiltonian and use them to generate examples of generalized kagome networks in two and three lattice dimensions. We show that the anti-$mathcalPT$ symmetry persists in the presence of uniform DC fields and ensures the presence of flatbands in the corresponding irreducible Wannier-Stark band structure.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
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.

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