Topological flat Wannier-Stark bands
arXiv:1707.05953 · doi:10.1103/PhysRevB.97.045120
Abstract
We analyze the spectrum and eigenstates of a quantum particle in a bipartite two-dimensional tight-binding dice network with short range hopping under the action of a dc bias. We find that the energy spectrum consists of a periodic repetition of one-dimensional energy band multiplets, with one member in the multiplet being strictly flat. The corresponding macroscopic degeneracy invokes eigenstates localized exponentially perpendicular to the dc field direction, and super-exponentially along the dc field direction. We also show that the band multiplet is characterized by a topological winding number (Zak phase), which changes abruptly if we vary the dc field strength. These changes are induced by gap closings between the flat and dispersive bands, and reflect the number of these closings.
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Cited by in corpus (7)
- Many-Body Flatband Localization
- Flatband generator in two dimensions
- Flat bands and nontrivial topological properties in an extended Lieb lattice
- Flat band in two-dimensional non-Hermitian optical lattices
- Flat band induced by the interplay of synthetic magnetic flux and non-Hermiticity
- Dynamical quantum phase transitions on cross-stitch flat band networks
- Quantum transport in the flux rhombic lattice