From Multiple Nodal Chain to Dirac/Weyl Semimetal and Topological Insulator in Ternary Hexagonal Materials

TL;DR

This paper explores how hexagonal LiAuSe transitions from a nodal chain semimetal to Dirac/Weyl semimetal and topological insulator phases through symmetry breaking, revealing critical insights into topological phase transitions.

Contribution

It demonstrates the topological phase transitions in LiAuSe, showing how symmetry breaking induces transformations from nodal chain to Dirac/Weyl semimetals and insulators.

Findings

LiAuSe is a nodal chain semimetal without SOC.

With SOC, LiAuSe becomes an ideal Dirac semimetal.

Breaking symmetry transforms Dirac semimetal into Weyl semimetal or topological insulator.

Abstract

Dirac semimetal (DSM) hosts four-fold degenerate isolated band-crossing points with linear dispersion, around which the quasiparticles resemble the relativistic Dirac Fermions. It can be described by a 4 * 4 massless Dirac Hamiltonian which can be decomposed into a pair of Weyl points or gaped into an insulator. Thus, crystal symmetry is critical to guarantee the stable existence. On the contrary, by breaking crystal symmetry, a DSM may transform into a Weyl semimetal (WSM) or a topological insulator (TI). Here, by taking hexagonal LiAuSe as an example, we find that it is a starfruit shaped multiple nodal chain semimetal in the absence of spin-orbit coupling(SOC). In the presence of SOC, it is an ideal DSM naturally with the Dirac points locating at Fermi level exactly, and it would transform into WSM phase by introducing external Zeeman field or by magnetic doping with rare-earth atom Sm. It could also transform into TI state by breaking rotational symmetry. Our studies show that DSM is a critical point for topological phase transition, and the conclusion can apply to most of the DSM materials, not limited to the hexagonal material LiAuSe.