# Double flat bands in kagome twisted bilayers

## TL;DR

This study investigates how twisting bilayer kagome lattices affects their electronic flat bands, revealing the coexistence of two distinct flat band sets at different energies and spatial regions, similar to twisted bilayer graphene.

## Contribution

It demonstrates the emergence of two sets of flat bands in twisted bilayer kagome lattices at different energies and angles, extending understanding of flat band phenomena beyond graphene.

## Key findings

- Flat bands appear at low energies for small twist angles.
- High-energy bands exhibit kagome lattice characteristics.
- Flat band widths decrease with smaller twist angles.

## Abstract

We have studied how a generic bilayer kagome lattice behave upon layer rotation. We employed a Tight Binding model with one orbital per site and found (i) for low rotational angles, and at low energies, the same flat bands structure like in twisted bilayer graphene; though, for a larger value of the magic angle. Moreover, (ii) at high energies, due to the superstructure symmetry regions, we found the characteristics three band dispersion of the kagome lattice. In the latter, its band width decreases for lower angles confining them within a few meV. Therefore, we found in twisted kagome lattice the coexistence of two sets of flat bands in different energies and lying in different spatial regions of the bilayer system.