Kramers Nodal Line Metals

Abstract

Recently, it was pointed out that all chiral crystals with spin-orbit coupling (SOC) can be Kramers Weyl semimetals (KWSs) which possess Weyl points pinned at time-reversal invariant momenta. In this work, we show that all achiral non-centrosymmetric materials with SOC can be a new class of topological materials, which we term Kramers nodal line metals (KNLMs). In KNLMs, there are doubly degenerate lines, which we call Kramers nodal lines (KNLs), connecting time-reversal invariant momenta. The KNLs create two types of Fermi surfaces, namely, the spindle torus type and the octdong type. Interestingly, all the electrons on octdong Fermi surfaces are described by two-dimensional massless Dirac Hamiltonians. These materials support quantized optical conductance in thin films. We further show that KNLMs can be regarded as parent states of KWSs. Therefore, we conclude that all non-centrosymmetric metals with SOC are topological, as they can be either KWSs or KNLMs.

12 pages, 4 figures, plus Supplementary Information. Comments are welcome

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• Demonstration of non-Abelian frame charge flow in photonic crystals
• Kramers nodal lines in intercalated TaS${}_2$ superconductors
• Classification of Weyl points and nodal lines based on magnetic point groups for spin-$\frac{1}{2}$ quasiparticles
• Fully-gapped superconductivity and topological aspects of the noncentrosymmetric TaReSi superconductor
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• Observation of mirror-odd and mirror-even spin texture in ultrathin epitaxially strained RuO2 films
• Electronic structures near unmovable nodal points and lines in two-dimensional materials
• Chiral anomaly-induced nonlinear Hall effect in spin-orbit coupled noncentrosymmetric metals
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• Movable but unavoidable nodal lines through high-symmetry points in two-dimensional materials
• Multiband superconductivity in the topological Kramers nodal-line semimetals
• Electronic Structure of Kramers Nodal-Line Semimetal YAuGe and Anomalous Hall Effect Induced by Magnetic Rare-Earth Substitution
• Comment on "Fully gapped superconductivity and topological aspects of the noncentrosymmetric superconductor TaReSi"
• Structural characterization of the candidate Weyl semimetal CeGaGe
• Kramers nodal line in the charge density wave state of YTe${}_3$ and the influence of twin domains
• Weak ${\mathbb{Z}}_2$ Supertopology
• Essentially degenerate hidden nodal lines in two-dimensional magnetic layer groups
• Fermi surface and Berry phase analysis for Dirac nodal line semimetals: cautionary tale to SrGa${}_2$ and BaGa${}_2$