Indications for Topological Physics in High-$T_c$ Materials

TL;DR

This paper explores potential topological features in high-temperature superconductors, proposing that topology might be crucial to understanding their superconducting mechanism, supported by experimental signatures like Weyl fermions and winding numbers.

Contribution

It highlights the possible role of topological structures in high-$T_c$ materials and discusses experimental evidence suggesting topological signatures.

Findings

Presence of Weyl fermions in high-$T_c$ materials

Experimental signatures of topology such as winding numbers

Potential link between topology and superconductivity mechanism

Abstract

Research on high-$T_c$ superconductors has generally not focused on analysis of the topological structure of electronic bands in these materials. In this article we collate and discuss several well-known experimental observables that signal that certain signatures of topology may be present. The topological signatures suggested by experiment include dimensional reduction, electronic transport determined by loop statistics, a winding number, Weyl fermions, and others. We suggest that topology, in a wider sense than band topology, may be key to the mechanism of high-$T_c$ superconductivity.