Topological Matter School TMS23

Optical and electronic responses of topological matter are fundamental to understand topological properties in real materials. The Berry curvature is behind numerous effects such as the anomalous Hall effect, the spin Hall effect or even heat currents as observed in the anomalous Nernst effect and the thermal Hall effect. Even more interestingly, the Berry curvature has been recently shown to determine novel and sizable non-linear optical effects, non-linear Hall responses without magnetic fields and universal responses of topological metals. Lastly, magnetotransport in topological metals is an exciting frontier to uncover exotic anomalous responses rooted in concepts from high-energy physics, such as the chiral anomaly. In this edition we will tackle all these phenomena, offering a pedagogical and broad picture of the main responses of topological matter. We will cover the following topics:

• Topological band theory
• Linear and Nnonlinear electronic responses
• Quantum Nerst effect
• Transport and symmetries
• Superconducting topological materials
• Thermal transport

After school there will be a hands-on session on electronic and optical transport using Wannier functions.

ORGANIZING COMMITTEE:

Maia G. Vergniory (DIPC, Ikerbasque)

Reyes Calvo (Universidad de Alicante)

Santiago Blanco-Canosa (DIPC, Ikerbasque)

Adolfo Grushin (Institut NEEL – CNRS)

Alexander Altland (University of Cologne)