Zero-energy Bound States in Nodal Topological Lattice

TL;DR

This paper explores the electronic properties of a magnetic crystal with a topologically non-trivial spin texture, revealing localized states at nodes that form bands with potential topological Hall effects.

Contribution

It demonstrates the existence of localized states at nodes in a nodal topological lattice and their potential to form topological bands affecting electronic transport.

Findings

Each node attracts two localized states forming narrow bands.

Nodal bands can carry a Chern number under perturbations.

Enhanced zero-energy density of states can be observed experimentally.

Abstract

Nodal topological lattice is a form of magnetic crystal with topologically non-trivial spin texture, which further exhibits a periodic array of nodes with vanishing magnetization. Electronic structure for conduction electrons strongly Hund-coupled to such nodal topological lattice is examined. Our analysis shows that each node attracts two localized states which form narrow bands through internode hybridization within the mid-gap region. Nodal bands carry a Chern number under suitable perturbations, suggesting their potential role in the topological Hall effect. Enhancement of the density of states near zero energy observable in a tunneling experiment will provide a signature of the formation of nodal topological lattice.