Type-II nodal loops: theory and material realization

Abstract

Nodal loop appears when two bands, typically one electron-like and one hole-like, are crossing each other linearly along a one-dimensional manifold in the reciprocal space. Here we propose a new type of nodal loop which emerges from crossing between two bands which are both electron-like (or hole-like) along certain direction. Close to any point on such loop (dubbed as a type-II nodal loop), the linear spectrum is strongly tilted and tipped over along one transverse direction, leading to marked differences in magnetic, optical, and transport responses compared with the conventional (type-I) nodal loops. We show that the compound K4P3 is an example that hosts a pair of type-II nodal loops close to the Fermi level. Each loop traverses the whole Brillouin zone, hence can only be annihilated in pair when symmetry is preserved. The symmetry and topological protections of the loops as well as the associated surface states are discussed.

References in corpus (43)

• Berry Phase Effects on Electronic Properties
• Maximally-localized generalized Wannier functions for composite energy bands
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Weyl Semimetal in a Topological Insulator Multilayer
• Maximally-localized Wannier functions for entangled energy bands
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Topological Materials: Weyl Semimetals
• Dirac semimetal in three dimensions
• Experimental discovery of Weyl semimetal TaAs
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Experimental Realization of a Three-Dimensional Dirac Semimetal
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Topological nodal line semimetals with and without spin-orbital coupling
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Dirac Line Nodes in Inversion Symmetric Crystals
• Topological Nodal Line Semimetal and Dirac Semimetal State in Antiperovskite Cu${}_3$PdN
• Dirac Cone Protected by Non-Symmorphic Symmetry and 3D Dirac Line Node in ZrSiS
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Topological nodal line semimetals
• Topological Semimetals
• Topological semi-metals with line nodes and drumhead surface states
• Spin-orbit-free Weyl-loop and Weyl-point semimetals in a stable three-dimensional carbon allotrope
• Potential ring of Dirac nodes in a new polymorph of Ca${}_3$P${}_2$
• Line of Dirac Nodes in Hyper-Honeycomb Lattices
• Dirac and Weyl Superconductors in Three Dimensions
• Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
• Predicted Unusual Magnetoresponse in Type-II Weyl Semimetals
• Dirac node lines in pure alkali earth metals
• Magnetic breakdown and Klein tunneling in a type-II Weyl semimetal
• Topological Classification and Stability of Fermi Surfaces
• From Nodal Chain Semimetal To Weyl Semimetal in HfC
• Artificial gravity field, astrophysical analogues, and topological phase transitions in strained topological semimetals
• Dirac and Weyl Materials: Fundamental Aspects and Some Spintronics Applications
• Nexus and Dirac lines in topological materials
• Momentum-space structure of surface states in a topological semimetal with a nexus point of Dirac lines
• Magnetotransport and de Haas-van Alphen measurements in the type-II Weyl semimetal TaIrTe${}_4$
• Hybrid Weyl Semimetal
• Pressure-induced Topological Node-Line Semimetals in Alkaline-Earth Hexaborides XB6 (X=Ca, Sr, Ba)

Cited by in corpus (83)

• Nodal surface semimetals: Theory and material realization
• Topological Non-Hermitian skin effect
• Nonsymmorphic-symmetry-protected hourglass Dirac loop, nodal line, and Dirac point in bulk and monolayer $X_3$SiTe${}_6$ ($X=$ Ta, Nb)
• Nodal Loop and Nodal Surface States in Ti3Al Family Materials
• Quadratic and Cubic Nodal Lines Stabilized by Crystalline Symmetry
• Two-dimensional honeycomb borophene oxide: Strong anisotropy and nodal loop transformation
• Hybrid Nodal Loop Metal: Unconventional Magnetoresponse and Material Realization
• Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals
• Ferromagnetic hybrid nodal loop and switchable type-I and type-II Weyl fermions in two-dimension
• Two-dimensional Weyl nodal line semimetal in high Curie temperature d0 ferromagnet K2N monolayer
• Higher-order Dirac fermions in three dimensions
• Phononic Weyl Nodal Straight Lines in High-Temperature Superconductor MgB${}_2$
• Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological Effects
• Two-dimensional nodal-loop half metal in monolayer MnN
• Weyl-loop half metal in Li${}_3$(FeO${}_3$)${}_2$
• Nodal Line Spin-gapless Semimetals and High-quality Candidate Materials
• Engineering topological phases in the Luttinger semimetal $\alpha$-Sn
• A Class of topological nodal rings and its realization in carbon networks
• From Type-II Triply Degenerate Nodal Points and Three-Band Nodal Rings to Type-II Dirac Points in Centrosymmetric Zirconium Oxide
• Floquet Weyl semimetals in light-irradiated type-II and hybrid line-node semimetals
• The centrosymmetric Li2NaN material: an ideal topological semimetal with critical-type triply degenerate nodal points
• Topological quantum catalyst: the case of two-dimensional traversing nodal line states associated with high catalytic performance for hydrogen evolution reaction
• Systematic investigation of emergent particles in type-III magnetic space groups
• Type-I and type-II Nodal Lines Coexistence in the Antiferromagnetic monolayer CrAs${}_2$
• Ideal inner nodal chain semimetals in Li2XY (X = Ca, Ba; Y = Si, Ge) materials
• Topological Phase with Critical-Type Nodal Line State in Intermetallic CaPd
• Two-dimensional topological semimetals
• Hourglass Weyl loops in two dimensions: Theory and material realization in monolayer GaTeI family
• SpaceGroupIrep: A package for irreducible representations of space group
• Type-II Dirac photons at the metasurfaces
• Planar Hall effect in topological Weyl and nodal line semimetals
• Topologically non-trivial photonic surface degeneracy in a photonic metamaterial
• Nonsymmorphic cubic Dirac point and crossed nodal rings across the ferroelectric phase transition in LiOsO${}_3$
• Topological gimbal phonons in T-carbon
• Single Pair of Weyl Points in Nonmagnetic Crystals
• Topological Nodal Line Electrides: Realization of Ideal Nodal Line State Nearly Immune from Spin-Orbit Coupling
• Deterministic scheme for two-dimensional type-II Dirac points and experimental realization in acoustics
• Almost ideal nodal-loop semimetal in monoclinic CuTeO${}_3$ material
• Coexistience of phononic six-fold, four-fold and three-fold excitations in ternary antimonide Zr3Ni3Sb4
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Low energy phases of bilayer Bi predicted by structure search in two dimensions
• Coexistence of zero-, one- and two-dimensional degeneracy in tetragonal SnO${}_2$ phonons
• Fully spin-polarized nodal chain state in half metal LiV${}_2$O${}_4$
• Floquet-engineering of nodal rings and nodal spheres and their characterization using the quantum metric
• From Node-Line Semimetals to Large Gap QSH States in New Family of Pentagonal Group-IVA Chalcogenide
• Mirror Protected Multiple Nodal Line Semimetals and Material Realization
• Circular Dichroism and Radial Hall Effects in Topological Materials
• Double Dirac Nodal Line Semimetal with Torus Surface State
• Experimental Evidence of the Topological Surface States in Mg3Bi2 Films Grown by Molecular Beam Epitaxy
• Superconducting and Topological Properties in Centrosymmetric PbTaS2 Single Crystals
• Nodal-chain network, intersecting nodal rings and triple points coexisting in nonsymmorphic Ba3Si4
• Ferromagnetic nodal-line metal in monolayer {\em h}-InC
• Topological nodal lines and hybrid Weyl nodes in YCoC${}_2$
• Type-II topological metals
• Quasi-one-dimensional spin transport in altermagnetic $Z^3$ nodal net metals
• Perovskite-type YRh${}_3$B with multiple types of nodal point and nodal line states
• Time-reversal symmetric topological metal
• Carboneyane: A nodal line topological carbon with sp-sp2-sp3 chemical bonds
• Weyl nodal point-line Fermion in ferromagnetic Eu${}_5$Bi${}_3$
• Two-dimensional CoSe structures: Intrinsic magnetism, strain-tunable anisotropic valleys, magnetic Weyl point, and antiferromagnetic metal state
• Topological phases in pyrochlore thallium niobate Tl${}_2$Nb${}_2$O${}_{6+x}$
• Nexus networks in carbon honeycombs
• Nodal line semimetal states in positive electrode material of lead-acid battery: Lead dioxide family and its derivatives
• Third-order charge transport in a magnetic topological semimetal
• Type-II Nodal Line Fermions in New Z2 Topological Semimetals AV6Sb6 (A=K, Rb,and Cs) with Kagome Bilayer
• Weyl Nodal Line-Surface Half-metal in CaFeO${}_3$
• Plasmons in a two-dimensional nonsymmorphic nodal-line semimetal
• Type-II Dirac photonic lattices
• Symmetry-protected Spinful Magnetic Weyl Nodal Loops and Multi-Weyl Nodes in $5d^n$ Cubic Double Perovskites $(n=1,2)$
• Filling-enforced Dirac loops and their evolutions under various perturbations
• Type-II Dirac line node in strained Na3N
• Enhanced in-plane ferroelectricity, antiferroelectricity, and unconventional 2D emergent fermions in QL-XSbO${}_2$ (X= Li, Na)
• Topological properties of non-centrosymmetric superconductors $T$Ir${}_2$B${}_2$ ($T$=Nb, Ta)
• Chiral Topological Phononic Quasiparticles in Enantiomeric Crystals SrSi${}_2$ and BaSi${}_2$
• Multiple types of unconventional quasiparticles in the chiral crystal CsBe${}_2$F${}_5$
• Correlation Induced Magnetic Topological Phases in Mixed-Valence Compound SmB6
• Topological semimetal phases in a family of monolayer X3YZ6 (X=Nb,Ta, Y=Si,Ge,Sn, Z=S,Se,Te) with abundant nodal lines and nodes
• Floquet-Engineering Weyl Points and Linked Fermi Arcs from Straight Nodal Lines
• Two-dimensional hourglass Weyl nodal loop in monolayer Pb(ClO${}_2$)${}_2$ and Sr(ClO${}_2$)${}_2$
• Emergent Weyl-like points in periodically modulated systems
• Essentially degenerate hidden nodal lines in two-dimensional magnetic layer groups
• Emergence of Type-I and Type-II Dirac line nodes in penta-octa-graphene
• Nodal-line semimetal superlattices