Emergent non-trivial lattices for topological insulators

Abstract

Materials with non-trivial lattice geometries allow for the creation of exotic states of matter like topologically insulating states. Therefore searching for such materials is an important aspect of current research in solid-state physics. In the field of ultracold gases there are ongoing studies aiming to create non-trivial lattices using optical means. In this paper we study two species of fermions trapped in a square optical lattice and show how non-trivial lattices can emerge due to strong interaction between atoms. We theoretically investigate regimes of tunable parameters in which such self-assembly may take place and describe the necessary experimental conditions. Moreover we discuss the possibility of such emergent lattices hosting topologically insulating states.

published version

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Cited by in corpus (5)

• Physics of higher orbital bands in optical lattices: a review
• Rice-Mele model with topological solitons in an optical lattice
• Superfluid phases of fermions with hybridized $s$ and $p$ orbitals
• Spontaneous magnetization and anomalous Hall effect in an emergent Dice lattice
• Topological Rice-Mele model in an emergent lattice: Exact diagonalization approach