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.

arXiv comment12 pages, 4 figures, plus Supplementary Information. Comments are welcome

References in corpus (82)

• Topological Insulators
• Topological insulators and superconductors
• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Maximally-localized generalized Wannier functions for composite energy bands
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Topological Insulators in Three Dimensions
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
• Classification of topological insulators and superconductors in three spatial dimensions
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• WannierTools: An open-source software package for novel topological materials
• Type-II Weyl Semimetals
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Weyl Semimetal in a Topological Insulator Multilayer
• Quantized Electric Multipole Insulators
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Dirac semimetal in three dimensions
• Topological nodal semimetals
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Higher-Order Topological Insulators
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Topological Crystalline Insulators in the SnTe Material Class
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Experimental Realization of a Three-Dimensional Dirac Semimetal
• The (High Quality) Topological Materials In The World
• Universal dynamical conductance in graphite
• Topological nodal line semimetals with and without spin-orbital coupling
• Catalogue of Topological Electronic Materials
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Band structure diagram paths based on crystallography
• Light-induced anomalous Hall effect in graphene
• Higher-Order Topology in Bismuth
• Dirac Line Nodes in Inversion Symmetric Crystals
• Symmetry-based Indicators of Band Topology in the 230 Space Groups
• Towards ideal topological materials: Comprehensive database searches using symmetry indicators
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Topological nodal line semimetals
• Quantized circular photogalvanic effect in Weyl semimetals
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• Nodal-chain metals
• Topological quantum properties of chiral crystals
• Multiple types of topological fermions in transition metal silicides
• High-throughput calculations of magnetic topological materials
• Large Fermi Arcs in Unconventional Weyl Semimetal RhSi
• Discovery of topological chiral crystals with helicoid arc states
• New classes of chiral topological nodes with non-contractible surface Fermi arcs in CoSi
• Time-reversal invariant realization of the Weyl semimetal phase
• Observation of Landau levels of Dirac fermions in graphite
• Double Dirac Semimetals in Three Dimensions
• Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe${}_2$ (X=Mo,W)
• Observation of Chiral Fermions with a Large Topological Charge and and Associated Fermi-Arc Surface States in CoSi
• Topological Semimetals with Triply Degenerate Nodal Points in θ-phase Tantalum Nitride
• Double crystallographic groups and their representations on the Bilbao Crystallographic Server
• Chiral Topological Semimetal with Multifold Band Crossings and Long Fermi arcs
• Magnetic Topological Quantum Chemistry
• Weyl Node and Spin Texture in Trigonal Tellurium and Selenium
• Emergence of non-centrosymmetric topological insulating phase in BiTeI under pressure
• Symmetry-protected ideal Weyl semimetal in HgTe-class materials
• Weyl semimetals from noncentrosymmetric topological insulators
• Observation of Topological Photocurrents in the Chiral Weyl Semimetal RhSi
• Optical spectroscopy study of three dimensional Dirac semimetal ZrTe${}_5$
• Chiral Optical Response of Multifold Fermions
• Chiral anomaly and optical absorption in Weyl semimetals
• Optical Signatures of Weyl Points in TaAs
• Pairing of j=3/2 fermions in half-Heusler superconductors
• Radial spin texture in elemental tellurium with chiral crystal structure
• Current-induced Orbital and Spin Magnetizations in Crystals with Helical Structure
• Evidence of Higher Order Topology in Multilayer WTe${}_2$ from Josephson Coupling through Anisotropic Hinge States
• Quadratic and Cubic Nodal Lines Stabilized by Crystalline Symmetry
• Interband optical conductivity of the [001]-oriented Dirac semimetal Cd3As2
• Origin of Universal Optical Conductivity and Optical Stacking Sequence Identification in Multilayer Graphene
• Linear and nonlinear optical responses in the chiral multifold semimetal RhSi
• Observation of giant spin-split Fermi-arc with maximal Chern number in the chiral topological semimetal PtGa
• Chiral fermion reversal in chiral crystals
• Spin-orbit coupling and semiclassical electron dynamics in noncentrosymmetric metals
• Linear optical conductivity of chiral multifold fermions
• Topological band crossings in hexagonal materials
• Kramers Weyl Semimetals as Quantum Solenoids and Their Applications in Spin-Orbit Torque Devices

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