Degenerate topological line surface phonons in quasi-1D double helix crystal SnIP

Abstract

Degenerate points/lines in the bulk band structures of crystals have become a staple of the growing number of topological materials. The bulk-boundary correspondence provides a relation between bulk topology and surface states. While line degeneracies of bulk excitations have been extensively characterized, line degeneracies of surface states are not well understood. We show that SnIP, a quasi-one-dimensional van der Waals material with a double helix crystal structure, exhibits topological nodal rings/lines in both the bulk phonon modes and their corresponding surface states. Using a combination of first-principles calculations, symmetry-based indicator theories and Zak phase analysis, we find that two neighbouring bulk nodal rings form doubly degenerate lines in their drumhead-like surface states, which are protected by the combination of time-reversal and glide mirror symmetries $\mathcal{T}{\bar{M}}_y$. Our results indicate that surface degeneracies can be generically protected by symmetries such as $\mathcal{T}{\bar{M}}_y$, and phonons provide an ideal platform to explore such degeneracies.

arXiv comment13 pages, 5 figures

References in corpus (63)

• Electric Field Effect in Atomically Thin Carbon Films
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Unpaired Majorana fermions in quantum wires
• Topological Insulators in Three Dimensions
• 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
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Topological nodal semimetals
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• The (High Quality) Topological Materials In The World
• Topological nodal line semimetals with and without spin-orbital coupling
• Catalogue of Topological Electronic Materials
• Topological crystalline insulator states in Pb(1-x)Sn(x)Se
• 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
• Symmetry-based Indicators of Band Topology in the 230 Space Groups
• Towards ideal topological materials: Comprehensive database searches using symmetry indicators
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Topological nodal line semimetals
• Discovery of topological Weyl fermion lines and drumhead surface states in a room temperature magnet
• Nodal-chain metals
• Topological nodal-line fermions in ZrSiSe and ZrSiTe
• Topological negative refraction of surface acoustic waves in a Weyl phononic crystal
• Hourglass Fermions
• Topological Semimetals Predicted from First-principles Calculations
• Topological Exciton Bands in Moiré Heterojunctions
• Double-Weyl phonons in transition-metal monosilicides
• Flat bands in topological media
• Fermi arcs and their topological character in the candidate type-II Weyl semimetal MoTe2
• Topological nodal-line semimetals in alkaline-earth stannides, germanides and silicides
• Observation of Double Weyl Phonons in Parity-Breaking FeSi
• Topological surface states and Fermi arcs of the noncentrosymmetric Weyl semimetals TaAs, TaP, NbAs, and NbP
• Weyl magnons in breathing pyrochlore antiferromagnets
• Non-Abelian reciprocal braiding of Weyl points and its manifestation in $\text{ZrTe}$
• Topological semimetals with Riemann surface states
• Model for Topological Phononics and Phonon Diode
• Computation and data driven discovery of topological phononic materials
• Dispersion of Fermi arcs in Weyl semimetals and their evolutions to Dirac cones
• Topological phonons and Weyl lines in 3 dimensions
• Symmetry-Protected Ideal Type-II Weyl Phonons in CdTe
• Topological Insulators from Group Cohomology
• Majorana Fermions: The race continues
• Phononic Helical Nodal Lines with $\mathcal{P}\mathcal{T}$ Protection in MoB${}_2$
• Three-component bosons in TiS, ZrSe and HfTe
• Coexisted Three-component Bosons and Two-component Weyl Bosons in TiS, ZrSe and HfTe
• Symmetry-Enforced Weyl Phonons
• Topological phonons in oxide perovskites controlled by light
• Spinless hourglass nodal-line semimetals
• Direct observation and temperature control of the surface Dirac gap in the topological crystalline insulator (Pb,Sn)Se
• Discovering topological surface states of Dirac points
• Symmorphic and nonsymmorphic symmetries jointly-protected hourglass phonons
• Hourglass Fermion Surface States in Stacked Topological Insulators with Nonsymmorphic Symmetry
• Topological gimbal phonons in T-carbon
• Coexistence of zero-, one- and two-dimensional degeneracy in tetragonal SnO${}_2$ phonons
• Topological effects of phonons in GaN and AlxGa1-xN: A potential perspective for tuning phonon transport
• A diagnosis scheme for topological degeneracies at high-symmetry momenta
• Distinct multiple fermionic states in a single topological metal
• Predicting Dirac semimetals based on Sodium Ternary Compounds
• Topological semimetallic phase in PbO${}_2$ promoted by temperature
• Predicting topological materials: symmetry-based indicator theories and beyond

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• Dirac phonons in two-dimensional materials
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