Topological nematic phase in Dirac semi-metals
Rui-Xing Zhang, Jimmy A. Hutasoit, Yan Sun, Binghai Yan, Cenke Xu and, Chao-Xing Liu

TL;DR
This paper investigates how interactions induce nematic and charge-density-wave orders in 3D Dirac semimetals, revealing a topological nematic phase with unique properties and experimental signatures.
Contribution
It introduces a topological nematic phase in Dirac semimetals, highlighting the role of interactions and magnetic fields in stabilizing these phases, which is a novel finding.
Findings
Interaction induces charge-density-wave and nematic orders.
Magnetic field enhances instability towards ordered phases.
Zero modes in vortex cores indicate topological nature.
Abstract
We study the interaction effect in a three dimensional Dirac semimetal and find that two competing orders, charge-density-wave orders and nematic orders, can be induced to gap the Dirac points. Applying a magnetic field can further induce an instability towards forming these ordered phases. The charge density wave phase is similar as that of a Weyl semimetal while the nematic phase is unique for Dirac semimetals. Gapless zero modes are found in the vortex core formed by nematic order parameters, indicating the topological nature of nematic phases. The nematic phase can be observed experimentally using scanning tunnelling microscopy.
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