Topological flat bands in optical checkerboard-like lattices

Abstract

We present comparatively simple two-dimensional and three-dimensional checkerboard-like optical lattices possessing nontrivial topological properties. By simple tuning of the parameters these lattices can have a topological insulating phase, a topological semi-metallic phase, or a trivial insulating phase. This allows study of different topological phase transitions within a single cold atom system. In the topologically nontrivial phases flat bands appear at the surfaces of the system. These surface states possess short localization lengths such that they are observable even in systems with small lattice dimensions. Our proposed lattices neither need spin-orbit coupling nor non-Abelian gauge fields to reach topologically nontrivial states.

arXiv comment14 pages, 6 figures

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Cited by in corpus (6)

• One-dimensional sawtooth and zigzag lattices for ultracold atoms
• Simulation of interaction-induced chiral topological dynamics on a digital quantum computer
• Geometry-induced memory effects in isolated quantum systems: Observations and applications
• Chirality-2 fermion induced anti-Klein tunneling in 2D checkerboard lattice
• Anomalous Diffusion, Prethermalization, and Particle Binding in an Interacting Flat Band System
• Flat Bands in Three-dimensional Lattice Models with Non-trivial Hopf Index