Weyl Node and Spin Texture in Trigonal Tellurium and Selenium

Abstract

We study Weyl nodes in materials with broken inversion symmetry. We find based on first-principles calculations that trigonal Te and Se have multiple Weyl nodes near the Fermi level. The conduction bands have a spin splitting similar to the Rashba splitting around the H points, but unlike the Rashba splitting the spin directions are radial, forming a hedgehog spin texture around the H points, with a nonzero Pontryagin index for each spin-split conduction band. The Weyl semimetal phase, which has never been observed in real materials without inversion symmetry, is realized under pressure. The evolution of the spin texture by varying the pressure can be explained by the evolution of the Weyl nodes in k space.

8 pages, 6 figures

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• Band splitting and Weyl nodes in trigonal tellurium studied by angle-resolved photoemission spectroscopy and density functional theory
• Detecting Chiral Magnetic Effect by Lattice Dynamics
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• Appearance of the universal value $e^2/h$ of the zero-bias conductance in a Weyl semimetal-superconductor junction
• Magneto-transport properties of tellurium under extreme conditions
• Influence of a chiral chemical potential on Weyl hybrid junctions
• Mid-infrared photoconductivity spectra of single tellurium nanowires]{Mid-infrared photoconductivity spectra of single tellurium nanowires
• Robust zero-energy bound states in a helical lattice
• Strongly Ideal Robust Weyl Semimetals in Cubic Symmetry with Spatial-Inversion Breaking
• NMR in an electric field: A bulk probe of the hidden spin and orbital polarizations
• Quantum anomaly and anomalous Josephson effect in inversion asymmetric Weyl semimetals
• Evidence for Weyl fermions in the elemental semiconductor tellurium
• Bilayer Quantum Hall States in an n-type Wide Tellurium Quantum Well