Triple hourglass Weyl phonons

Abstract

Unconventional Weyl phonons with higher topological charges in crystalline solids have attracted increasing attention. By symmetry analysis and low-energy $k.p$ effective Hamiltonian, we propose the symmetry enforced triple hourglass Weyl phonons (THWPs) with Chern number $\mathcal{C}$ = $\pm$ 3 protected by $6_3$ screw rotation symmetry in chiral space groups 173 ($P{6}_3$) and 182 ($P{6}_{3}22$). We take LiIO${}_3$ with space group 173 as a candidate and confirm that it possesses THWP with linear and quadratic dispersions along the $k_z$ direction and in the $k_x$-$k_y$ plane, respectively. Due to the constraints of crystal symmetry and topological charge conservation, six equivalent single Weyl phonons (SWPs) emerge and lie in the $k_z$ = 0 plane. Therefore, the unique phonon surface arcs connect the projections of two THWPs and six SWPs, leading to nontrivial sextuple-helicoid surface arcs on the (001) surface Brillouin zone. Our work proposes a class of topological phonons and realizes it in realistic materials, providing a perfect platform for experimental observation of THWPs. We expect our work to provide a new idea for detection of unconventional quasiparticles.

arXiv comment11 pages, 7 figures

References in corpus (45)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• 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
• Dirac semimetal in three dimensions
• Experimental discovery of Weyl semimetal TaAs
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Experimental observation of Weyl points
• Observation of Weyl nodes in TaAs
• Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
• Topological response in Weyl semimetals and the chiral anomaly
• Dirac Line Nodes in Inversion Symmetric Crystals
• Topological Nodal Line Semimetal and Dirac Semimetal State in Antiperovskite Cu${}_3$PdN
• Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• Nodal surface semimetals: Theory and material realization
• Double-Weyl phonons in transition-metal monosilicides
• Node-Surface and Node-Line Fermions From Nonsymmorphic Lattice Symmetries
• Predicted Unusual Magnetoresponse in Type-II Weyl Semimetals
• Fermi arcs and their topological character in the candidate type-II Weyl semimetal MoTe2
• Observation of Double Weyl Phonons in Parity-Breaking FeSi
• Hourglass Dirac Chain Metal in Rhenium Dioxide
• Symmetry-Protected Ideal Type-II Weyl Phonons in CdTe
• Symmetry-Protected Topological Triangular Weyl Complex
• Composite Weyl nodes stabilized by screw symmetry with and without time reversal
• Twofold quadruple Weyl nodes in chiral cubic crystals
• Type-III Weyl Semimetals: (TaSe4)2I
• Three-dimensional Dirac Phonons with Inversion Symmetry
• Multi Weyl Points and the Sign Change of Their Topological Charges in Woodpile Photonic Crystals
• Ideal Intersecting Nodal Ring Phonons in a Body-Centered Cubic C${}_8$
• Chiral Landau levels in Weyl semimetal NbAs with multiple topological carriers
• Straight nodal-line phonons in symmorphic space groups
• Topological acoustic triple point
• Symmorphic and nonsymmorphic symmetries jointly-protected hourglass phonons
• Charge-4 Weyl point: Minimum lattice model and chirality-dependent properties
• Symmetry-enforced ideal lantern-like phonons in ternary nitride Li${}_6$WN${}_4$
• Weyl points and Dirac lines protected by multiple screw rotations
• Hourglass Charge-Three Weyl Phonons
• Hourglass semimetals with nonsymmorphic symmetries in three dimensions
• Observation of a Chiral Wave Function in Twofold Degenerate Quadruple Weyl System BaPtGe

Cited by in corpus (5)

• Hourglass Charge-Three Weyl Phonons
• Recipe for single-pair-Weyl-points phonons carrying the same chiral charges
• Hybrid nodal surface and nodal line phonons in solids
• Phonon Weyl points and chiral edge modes with unconventional Fermi arcs in NbSi${}_2$
• Ferroelectrically Controlled Chirality Switching of Weyl Quasiparticles