Novel Family of Topological Semimetals with Butterfly-like Nodal Lines

Abstract

In recent years, the exotic properties of topological semimetals (TSMs) have attracted great attention and significant efforts have been made in seeking for new topological phases and material realization. In this work, we propose a new family of TSMs which harbors an unprecedented nodal line (NL) landscape consisting of a pair of concentric intersecting coplanar ellipses (CICE) at half-filling. Meanwhile, the CICE at half-filling guarantees the presence of a second pair of CICE beyond half-filling. Both CICEs are linked at four-fold degenerate points (FDPs) at zone boundaries. In addition, we identify the generic criteria for the existence of the CICE in a time reversal invariant {\it spinless} fermion system or a spinfull system with negligible spin-orbital coupling (SOC). Consequently, 9 out of 230 space groups (SGs) are feasible for hosting CICE whose location centers in the first Brillouin zone (BZ) are identified. We provide a simplest model with SG $Pbam$ (No. 55) which exhibits CICE, and the exotic intertwined drumhead surface states, induced by double-band-inversions. Finally, we propose a series of material candidates that host butterfly-like CICE NLs, such as, ZrX${}_2$ (X=P,As), GeTe${}_5$Tl${}_2$, CYB${}_2$ and Al${}_2$Y${}_3$.

arXiv comment6 pages, 3 figures

References in corpus (38)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Weyl Semimetal in a Topological Insulator Multilayer
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Dirac semimetal in three dimensions
• Topological nodal semimetals
• Topological quantum chemistry
• The (High Quality) Topological Materials In The World
• 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
• Towards ideal topological materials: Comprehensive database searches using symmetry indicators
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Topological nodal line semimetals
• Dirac Semimetals in Two Dimensions
• Nodal-chain metals
• Hourglass Fermions
• Topological Semimetals Predicted from First-principles Calculations
• Topological semi-metals with line nodes and drumhead surface states
• Double Dirac Semimetals in Three Dimensions
• Drumhead Surface States and Topological Nodal-Line Fermions in TlTaSe2
• Triple Point Topological Metals
• Nodal-link semimetals
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Electronic Transport and quantum oscillation of Topological Semimetals
• Topological Hopf and chain link semimetal states and their application to Co2MnGa (Theory and Materials Prediction)
• Nodal-knot semimetals
• Entanglement entropy and the Berry phase in solid states
• Topological edge states in the one-dimensional super-lattice Bose-Hubbard model
• Optical Signatures of Dirac Nodal-lines in NbAs${}_2$
• Classification of stable Dirac and Weyl semimetals with reflection and rotational symmetry
• Edge-state instabilities of bosons in a topological band
• Electrodynamics on Fermi Cyclides in Nodal Line Semimetals
• Symmorphic intersecting nodal rings in semiconducting layers
• Symmetry Protected Quantization and Bulk-Edge Correspondence of Massless Dirac Fermions: Application to Fermionic Shastry-Sutherland Model
• Nonsymmorphic cubic Dirac point and crossed nodal rings across the ferroelectric phase transition in LiOsO${}_3$

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• Emergent impervious band crossing in the bulk in topological nodal line semimetal ZrAs${}_2$