Weyl-point teleportation

TL;DR

This paper introduces the concept of Weyl-point teleportation, where Weyl points can abruptly change position via extended nodal structures acting as wormholes, with divergence in susceptibility near transition points.

Contribution

It reveals the phenomenon of Weyl-point teleportation through nodal structures and universal susceptibility divergence, demonstrated in specific models and applicable to topological materials.

Findings

Weyl points can teleport via nodal structures in parameter space.

Susceptibility diverges with a universal scaling law near transition points.

The phenomenon is demonstrated in two-spin and Josephson circuit models.

Abstract

In this work, we describe the phenomenon of Weyl-point teleportation. Weyl points usually move continuously in the configuration parameter space of a quantum system when the control parameters are varied continuously. However, there are special transition points in the control space where the continuous motion of the Weyl points is disrupted. In such transition points, an extended nodal structure (nodal line or nodal surface) emerges, serving as a wormhole for the Weyl points, allowing their teleportation in the configuration space. A characteristic side effect of the teleportation is that the motional susceptibility of the Weyl point diverges in the vicinity of the transition point, and this divergence is characterized by a universal scaling law. We exemplify these effects via a two-spin model and a Weyl Josephson circuit model. We expect that these effects generalize to many other settings including electronic band structures of topological semimetals.