# Transport in two-dimensional topological materials: recent developments in experiment and theory

## TL;DR

This review summarizes recent experimental and theoretical advances in transport phenomena in two-dimensional topological materials, highlighting applications, controversies, and emerging research directions such as non-linear responses and topological quantum computing.

## Contribution

It provides a comprehensive overview of developments over the last five years in transport properties of various topological materials, emphasizing new experimental findings and theoretical insights.

## Key findings

- Topological insulators are being applied in magnetic devices.
- Hall transport in doped samples remains controversial.
- Research on non-linear electrical and optical responses is expanding.

## Abstract

We review theoretical and experimental highlights in transport in two-dimensional materials focussing on key developments over the last five years. Topological insulators are finding applications in magnetic devices, while Hall transport in doped samples and the general issue of topological protection remain controversial. In transition metal dichalcogenides valley-dependent electrical and optical phenomena continue to stimulate state-of-the-art experiments. In Weyl semimetals the properties of Fermi arcs are being actively investigated. A new field, expected to grow in the near future, focuses on the non-linear electrical and optical responses of topological materials, where fundamental questions are once more being asked about the intertwining roles of the Berry curvature and disorder scattering. In topological superconductors the quest for chiral superconductivity, Majorana fermions and topological quantum computing is continuing apace.