# Chaos based Berry phase detector

## TL;DR

This paper proposes a chaos-based method using semiclassical decay in $ ext{α}$-T$_3$ lattices to efficiently detect the Berry phase, facilitating the characterization of quantum materials.

## Contribution

It introduces a novel chaos-based detection scheme linking decay rates to Berry phase, applicable across the entire $ ext{α}$-T$_3$ material family.

## Key findings

- Exponential decay rate correlates with Berry phase in $ ext{α}$-T$_3$ materials.
- Chaotic cavity decay can be used to distinguish quasiparticles.
- Method is experimentally feasible for Berry phase detection.

## Abstract

The geometric or Berry phase, a characteristic of quasiparticles, is fundamental to the underlying quantum materials. The discoveries of new materials at a rapid pace nowadays call for efficient detection of the Berry phase. Utilizing $\alpha$-T$_3$ lattice as a paradigm, we find that, in the Dirac electron optics regime, the semiclassical decay of the quasiparticles from a chaotic cavity can be effectively exploited for detecting the Berry phase. In particular, we demonstrate a one-to-one correspondence between the exponential decay rate and the geometric phase for the entire family of $\alpha$-T$_3$ materials. This chaos based detection scheme represents an experimentally feasible way to assess the Berry phase and to distinguish the quasiparticles.