# Quantum anomalous Hall state from spatially decaying interactions on the decorated honeycomb lattice

## TL;DR

This paper demonstrates that a quantum anomalous Hall phase can emerge from spatially decaying interactions in a decorated honeycomb lattice, providing a more realistic model for interaction-driven topological states.

## Contribution

It introduces a model showing interaction-driven quantum anomalous Hall effect with physically decaying interactions, unlike previous models with non-decaying interactions.

## Key findings

- Robust quantum anomalous Hall phase identified
- Spatially decaying interactions can induce topological states
- Potential for experimental observation of interaction-driven topological phases

## Abstract

Topological phases typically encode topology at the level of the single particle band structure. But a remarkable class of models shows that quantum anomalous Hall effects can be driven exclusively by interactions, while the parent non-interacting band structure is topologically trivial. Unfortunately, these models have so far relied on interactions that do not spatially decay and are therefore unphysical. We study a model of spinless fermions on a decorated honeycomb lattice. Using complementary methods, mean-field theory and exact diagonalization, we find a robust quantum anomalous Hall phase arising from spatially decaying interactions. Our finding paves the way for observing the quantum anomalous Hall effect driven entirely by interactions.