Crossing-line-node semimetals: General theory and application to rare-earth trihydrides
@article{Kobayashi2017CrossinglinenodeSG, title={Crossing-line-node semimetals: General theory and application to rare-earth trihydrides}, author={Shingo Kobayashi and Youichi Yamakawa and Ai Yamakage and Takumi Inohara and Yoshihiko Okamoto and Yukio Tanaka}, journal={Physical Review B}, year={2017}, volume={95}, pages={245208-245208} }
Multiple line nodes in energy-band gaps are found in semimetals preserving mirror-reflection symmetry. We classify possible configurations of multiple line nodes with crossing points (crossing line nodes) under point-group symmetry. Taking the spin-orbit interaction (SOI) into account, we also classify topological phase transitions from crossing-line-node Dirac semimetals to other topological phases, e.g., topological insulators and point-node semimetals. This study enables one to find crossing…
Figures and Tables from this paper
23 Citations
Photoinduced topological phase transition from a crossing-line nodal semimetal to a multiple-Weyl semimetal
- Physics
- 2017
We propose a simple scheme to construct a model whose Fermi surface is comprised of crossing-line nodes. The Hamiltonian consists of a normal hopping term and an additional term which is odd under…
Band Topology and Linking Structure of Nodal Line Semimetals with Z_{2} Monopole Charges.
- PhysicsPhysical review letters
- 2018
It is proposed that pair creation and annihilation of nodal lines with Z_{2} monopole charges can mediate a topological phase transition between a normal insulator and a three-dimensional weak Stiefel-Whitney insulator.
Classification of Weyl points and nodal lines based on magnetic point groups for spin-
12
quasiparticles
- PhysicsPhysical Review B
- 2022
Symmetry-protected topological semimetals are at the focus of solid-state research due to their unconventional properties, for example, regarding transport. By investigating local two-band Bloch…
Spin-orbit coupling driven crossover from a starfruitlike nodal semimetal to Dirac and Weyl semimetal state in CaAuAs
- PhysicsPhysical Review B
- 2018
Band-crossings occurring on a mirror plane are compelled to form a nodal loop in the momentum space without spin-orbit coupling (SOC). In the presence of other equivalent mirror planes, multiple such…
Pseudo Dirac nodal sphere semimetal
- Materials SciencePhysical Review B
- 2018
Topological semimetals (TSMs) in which conduction and valence bands cross at zero-dimensional (0D) Dirac nodal points (DNPs) or 1D Dirac nodal lines (DNLs), in 3D momentum space, have recently drawn…
Hopf-link topological nodal-loop semimetals
- Physics
- 2018
We construct a generic two-band model which can describe topological Weyl semimetals with multiple closed Weyl loops. All the existing multi-Weyl-loop semimetals including the nodal-net, or…
Nonsymmorphic cubic Dirac point and crossed nodal rings across the ferroelectric phase transition in LiOsO$_3$
- Physics
- 2018
Crystalline symmetries can generate exotic band-crossing features, which can lead to unconventional fermionic excitations with interesting physical properties. We show how a cubic Dirac point---a…
Centrosymmetric TiS as a novel topological electronic material with coexisting type-I, type-II and hybrid nodal line states
- Physics
- 2020
Type-I, type-II and hybrid nodal lines show distinct electronic characteristics and have potential applications in electronic devices. However, it is still a challenge to explore a topological…
A pr 2 01 7 Nodal-link semimetals
- Physics
- 2017
Topological phases of matter have been among the most active research subjects in condensed matter physics. They can be broadly classified as two major classes. The first class of phases, including…
Nodal-link semimetals
- Physics, Materials Science
- 2017
In topological semimetals, the valance band and conduction band meet at zero-dimensional nodal points or one-dimensional nodal rings, which are protected by band topology and symmetries. In this…
References
SHOWING 1-10 OF 106 REFERENCES
Topological Node-Line Semimetal and Dirac Semimetal State in Antiperovskite Cu3PdN.
- PhysicsPhysical review letters
- 2015
It is proposed that the cubic antiperovskite material Cu3PdN can host a three-dimensional (3D) topological node-line semimetal state when spin-orbit coupling (SOC) is ignored, which is protected by the coexistence of time-reversal and inversion symmetry.
Dirac-node arc in the topological line-node semimetal HfSiS
- Physics
- 2016
We have performed angle-resolved photoemission spectroscopy on HfSiS, which has been predicted to be a topological line-node semimetal with square Si lattice. We found a quasi-two-dimensional Fermi…
Topological nodal line semimetals predicted from first-principles calculations
- Physics
- 2017
Topological semimetals are newly discovered states of quantum matter, which have extended the concept of topological states from insulators to metals and attracted great research interest in recent…
Line-Node Dirac Semimetal and Topological Insulating Phase in Noncentrosymmetric Pnictides CaAgX (X = P, As)
- Physics
- 2015
Two noncentrosymmetric ternary pnictides, CaAgP and CaAgAs, are reported as topological line-node semimetals protected solely by mirror-reflection symmetry. The band gap vanishes on a circle in…
Topological semimetals and topological insulators in rare earth monopnictides
- Physics
- 2015
We use first principles calculations to study the electronic properties of rock salt rare earth monopnictides La$X$ ($X=$N, P, As, Sb, Bi). A new type of topological band crossing termed `linked…
CaTe: a new topological node-line and Dirac semimetal
- Physics
- 2016
Combining first-principles calculations and effective model analysis, we predict that CaTe is a topological node-line semimetal in the absence of the spin-orbit coupling. Using a slab model, we…
Topological nodal semimetals
- Physics
- 2011
We present a study of “nodal-semimetal” phases in which nondegenerate conduction and valence bands touch at points (the “Weyl semimetal”) or lines (the “line-node semimetal”) in three-dimensional…
Topological nodal line semimetals
- Physics, Mathematics
- 2016
We review the recent, mainly theoretical, progress in the study of topological nodal line semimetals in three dimensions. In these semimetals, the conduction and the valence bands cross each other…
Multi-Weyl topological semimetals stabilized by point group symmetry.
- PhysicsPhysical review letters
- 2012
We perform a complete classification of two-band k·p theories at band crossing points in 3D semimetals with n-fold rotation symmetry and broken time-reversal symmetry. Using this classification, we…
Topological Dirac nodal lines and surface charges in fcc alkaline earth metals
- PhysicsNature communications
- 2017
It is shown via ab initio calculations that fcc calcium, strontium and ytterbium have topological nodal lines with the π Berry phase near the Fermi level, when spin–orbit interaction is neglected.