# Circular Dichroism and Radial Hall Effects in Topological Materials

## TL;DR

This paper develops a unified theory linking circular dichroism and radial Hall effects in topological materials, revealing how symmetry breaking induces distinct optical and transport phenomena useful for identifying topological phases.

## Contribution

The authors present a comprehensive theory connecting Berry curvature, dichroism, and radial Hall effects in topological phases, providing new insights into their optical and transport signatures.

## Key findings

- Distinct dichroic absorption in different topological phases
- Radial Hall effects scale with photon energy and electric field
- A new diagnostic tool for topological phase identification

## Abstract

Under symmetry breaking, a three-dimensional nodal-line semimetal can turn into a topological insulator or Weyl semimetal, accompanied by the generation of momentum-space Berry curvature. We develop a theory that unifies their circular dichroism and highlights the roles of Berry curvature distribution and light incident direction. Nontrivially, these phases exhibit distinct dichroic optical absorption and radial Hall effects, with characteristic scalings with photon energy and electric field. Our findings offer a new diagnosis tool for examining topological phases of matter.