Hourglass-like Nodal Net Semimetal in Ag2BiO3

Abstract

Based on first-principles calculation and analysis of crystal symmetries, we propose a kind of hourglass-like nodal net (HNN) semimetal in centrosymmetric Ag2BiO3 that is constructed by two hourglass-like nodal chains (HNCs) at mutually orthogonal planes in the extended Brillouin zone (BZ) when the weak spin-orbit coupling (SOC) mainly from the 6s orbital of Bi atoms is ignored. The joint point in the nodal net structure is a special double Dirac point located at the BZ corner. Different from previous HNN [Bzdusek et al., Nature 538, 75 (2016)] where the SOC and double groups nonsymmorphic symmetries are necessary, and also different from the accidental nodal net, this HNN structure is inevitably formed and guaranteed by spinless nonsymmorphic symmetries, and thus robust against any symmetry-remaining perturbations. The Fermi surface in Ag2BiO3 consisting of a torus-like electron pocket and a torus-like hole pocket may lead to unusual transport properties. A simple four-band tight-binding model is built to reproduce the HNN structure. For a semi-infinite Ag2BiO3 , the "drumhead" like surface states with nearly flat dispersions are demonstrated on (001) and (100) surfaces, respectively. If such weak SOC effect is taken into consideration, this HNN structure will be slightly broken, left a pair of hourglass-like Dirac points at the two-fold screw axis. This type of hourglass-like Dirac semimetal is symmetry-enforced and does not need band inversion anymore. Our discovery provides a new platform to study novel topological semimetal states from nonsymmorphic symmetries.

arXiv comment7 pages with 5 figures

References in corpus (40)

• Maximally-localized generalized Wannier functions for composite energy bands
• Weyl and Dirac Semimetals in Three Dimensional Solids
• WannierTools: An open-source software package for novel topological materials
• Maximally-localized Wannier functions for entangled energy bands
• Topological Materials: Weyl Semimetals
• Topological nodal semimetals
• 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
• Topological nodal line semimetals
• Dirac Semimetals in Two Dimensions
• Nodal-chain metals
• High-temperature surface superconductivity in topological flat-band systems
• Topological nodal-line fermions in ZrSiSe and ZrSiTe
• Observation of Topological Nodal Fermion Semimetal Phase in ZrSiS
• Topological Semimetals Predicted from First-principles Calculations
• Double Dirac Semimetals in Three Dimensions
• Classification of reflection symmetry protected topological semimetals and nodal superconductors
• Potential ring of Dirac nodes in a new polymorph of Ca${}_3$P${}_2$
• Discovery of two-dimensional Dirac nodal line fermions in monolayer Cu2Si
• Line-Node Dirac Semimetal and Topological Insulating Phase in Noncentrosymmetric Pnictides CaAgX (X = P, As)
• Topological Nodal Line Semimetals in CaP3 family of materials
• Dirac node lines in pure alkali earth metals
• Symmetry Demanded Topological Nodal-line Materials
• Dirac nodal lines and induced spin Hall effect in metallic rutile oxides
• From Nodal Chain Semimetal To Weyl Semimetal in HfC
• Hourglass Dirac Chain Metal in Rhenium Dioxide
• Tunable Line Node Semimetals
• Topological Node-Line Semimetal in Compressed Black Phosphorus
• Spin-Orbit Semimetals in the Layer Groups
• Topological Dirac Nodal-net Fermions in AlB${}_2$-type TiB${}_2$ and ZrB${}_2$
• CaTe: a new topological node-line and Dirac semimetal
• Rules for Phase Shifts of Quantum Oscillations in Topological Nodal-line Semimetals
• Topological transport in Dirac nodal-line semimetals
• Spinless hourglass nodal-line semimetals
• Global band topology of simple and double Dirac-point (semi-)metals
• Topological semimetals studied by ab initio calculations
• Quantum Oscillations in Nodal Line Systems

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