抗$\mathcal{PT}$扁平带
Anti-$\mathcal{PT}$ flatbands
摘要：
我们考虑紧束缚单粒子晶格哈密顿量下的反酉反对称是不变的：反$\mathcal{PT}$对称。在$d$维非布拉维格上定义了厄米哈密顿算符。对于奇数个子晶格，反$\mathcal{PT}$对称性保护能量为$E = 0$的平带。我们推导出的反$\mathcal{PT}$约束的哈密顿量，并使用它们来生成的例子，广义戈薇网络在两个和三个晶格维。此外，我们表明，反$\mathcal{PT}$对称性持续存在的均匀直流电场，并确保存在于相应的不可约Wannier-Stark能带结构的平带。我们提供的例子的Wannier-Stark能带结构的广义kagome网络中存在的DC字段，并使用Floquet工程实现。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
