Topological semimetal with coexisting nodal points and nodal lines

TL;DR

This paper introduces a novel topological semimetal featuring both nodal points and lines, demonstrating its properties and how periodic driving can induce phase transitions, expanding the understanding of topological materials.

Contribution

It proposes a new scheme to realize topological semimetals with coexisting nodal points and lines and explores their dynamic phase transitions under periodic driving.

Findings

Existence of a topological semimetal with both nodal points and lines.

Application of periodic driving induces a transition to a first-order topological semimetal.

Identification of hinge Fermi arcs and drumhead surface states in the proposed system.

Abstract

Featuring exotic quantum transport and surface states, topological semimetals can be classified into nodal-point, nodal-line, and nodal-surface semimetals according to the degeneracy and dimensionality of their nodes. However, a topological semimetal that possesses both nodal points and nodal lines is rarely reported. Here, we propose a scheme to construct this type of topological semimetal, which simultaneously exhibits hinge Fermi arcs and drumhead surface states. Then, by applying periodic driving on the system, we find a hybrid-order topological semimetal with nodal points and rich nodal-line structures and its conversion into a first-order topological semimetal, which are absent in a static system. Our results enrich the family of topological semimetals, and establish a foundation for further exploration of their potential applications.