Realization of the Single-pair-Weyl Phonons with the Maximum Charge Number in Acoustic Crystals

Abstract

To observe the Weyl phonon (WP) with the maximum charge and to design a realistic material structure containing only single-pair-WPs have long been considered two challenges in the field of topology physics. Here we have successfully designed an acoustic crystal to realize the single-pair-WPs with the maximum charge for the first time. Our theoretical simulations on acoustic band dispersions demonstrate that protected by the time-reversal symmetry ($\mathcal{T}$) and the point group symmetries, a WP with the charge -4 ($\mathcal{C}=-4$) and another WP with $\mathcal{C}=+4$ are located at the high-symmetry point $\Gamma$ and R, respectively, with the absence of any other kinds of WPs. Moreover, the singe-pair-WPs obtained here are designed by the simplest two-band mode, and the related quadruple-helicoid Fermi acrs can be observed clearly in experiments, since they aren't covered by any bulk bands and hybridized by other kinds of WPs. Our theoretical results provide a reliable acoustic crystal to study the topological properties of the single-pair-WPs with the maximum charge for experimentalists in this field.

arXiv comment7 pages; 4 figures

References in corpus (37)

• 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
• Weyl Semimetal in a Topological Insulator Multilayer
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
• Negative magnetoresistance without well-defined chirality in the Weyl semimetal TaP
• Experimental observation of Weyl points
• Observation of Weyl nodes in TaAs
• An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• Weyl points and line nodes in gapless gyroid photonic crystals
• Quantum Oscillations from Surface Fermi-Arcs in Weyl and Dirac Semi-Metals
• Quantum anomalous Hall effect and related topological electronic states
• Valley contrasting chiral phonons in monolayer hexagonal lattices
• Anomalous Hall Effect in Weyl Metals
• Large Fermi Arcs in Unconventional Weyl Semimetal RhSi
• A new type of Weyl semimetal with quadratic double Weyl fermions in SrSi2
• Weyl Semimetals, Fermi Arcs and Chiral Anomalies (A Short Review)
• Topological Nature of the Phonon Hall Effect
• Double-Weyl phonons in transition-metal monosilicides
• Observation of Double Weyl Phonons in Parity-Breaking FeSi
• Spin fluctuation induced Weyl semimetal state in the paramagnetic phase of EuCd${}_2$As${}_2$
• Topological semimetals with Riemann surface states
• An ideal Weyl semimetal induced by magnetic exchange
• Symmetry-Protected Ideal Type-II Weyl Phonons in CdTe
• A Single Pair of Weyl Fermions in Half-metallic EuCd2As2 Semimetal
• 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
• Symmetry-Enforced Weyl Phonons
• Observation of a charge-2 photonic Weyl point in the infrared
• Charge-4 Weyl point: Minimum lattice model and chirality-dependent properties
• Magnetic Weyl semimetal in K${}_2$Mn${}_3$(AsO${}_4$)${}_3$ with the minimum number of Weyl points
• Discovery of a maximally charged Weyl point
• Anisotropic three-dimensional quantum Hall effect and magnetotransport in mesoscopic Weyl semimetals

Cited by in corpus (1)

• Recipe for single-pair-Weyl-points phonons carrying the same chiral charges