Emergent non-trivial lattices for topological insulators

TL;DR

This paper explores how strong interactions between fermions in a square optical lattice can lead to the emergence of non-trivial lattice geometries that may host topologically insulating states, advancing the design of exotic quantum materials.

Contribution

It demonstrates the theoretical possibility of self-assembled non-trivial lattices in ultracold fermionic gases and discusses conditions for realizing topological insulators.

Findings

Emergent non-trivial lattices can form due to strong interactions.

Specific regimes of tunable parameters enable self-assembly.

Emergent lattices may host topologically insulating states.

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.