Symmetry-enforced planar nodal chain phonons in non-symmorphic materials

Abstract

Topological semimetal states which are constrained by symmetries and give birth to innovative excitations are the frontiers of topological quantum matter. Nodal chains in which two nodal rings connect at one point were first discovered in non-symmorphic electronic systems and then generalized to symmorphic phononic systems. In this work, we identify a new class of planar nodal chains in non-symmorphic phononic systems, where the connecting rings lie in the same plane. The constituting nodal rings are protected by mirror symmetry, their intersection is guaranteed by the combination of time-reversal and non-symmorphic two-fold screw symmetry. In addition, the connecting points are four-fold degenerate while those in previous works are two-fold degenerate. We searched all 230 space groups and found 8 space groups that can host the proposed planar nodal chain phonons. Taking wurtzite GaN (space group No.186) as an example, the planar nodal chain is confirmed by first-principles calculations. The planar nodal chains result in two distinct classes of drumhead surface. The first category lies on the [10(-1)0] surface Brillouin zone and the second lies on the [0001] surface Brillouin zone. Our finding reveals a class of planar nodal chains in non-symmorphic phononic systems, expands the catalog of topological nodal chains, and enriches the family of topological surface states.

References in corpus (34)

• The electronic properties of graphene
• Topological insulators and superconductors
• Weyl and Dirac Semimetals in Three Dimensional Solids
• 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)
• Colloquium: Topological Band Theory
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Acoustic topological insulator and robust one-way sound transport
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Topological nodal line semimetals with and without spin-orbital coupling
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Nodal-chain metals
• Nodal surface semimetals: Theory and material realization
• Double-Weyl phonons in transition-metal monosilicides
• Potential ring of Dirac nodes in a new polymorph of Ca${}_3$P${}_2$
• Node-Surface and Node-Line Fermions From Nonsymmorphic Lattice Symmetries
• Observation of Double Weyl Phonons in Parity-Breaking FeSi
• Nodal-knot semimetals
• 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
• Phononic Weyl Nodal Straight Lines in High-Temperature Superconductor MgB${}_2$
• Topological Phononic Logic
• Ideal Intersecting Nodal Ring Phonons in a Body-Centered Cubic C${}_8$
• Straight nodal-line phonons in symmorphic space groups
• Symmetry-enforced ideal lantern-like phonons in ternary nitride Li${}_6$WN${}_4$
• Symmetry-Enforced Nodal Chain Phonons
• Coexistence of zero-, one- and two-dimensional degeneracy in tetragonal SnO${}_2$ phonons
• Topologically protected interface phonons in two-dimensional nanomaterials: hexagonal boron nitride and silicon carbide
• Topological effects of phonons in GaN and AlxGa1-xN: A potential perspective for tuning phonon transport
• Topological nodal lines and hybrid Weyl nodes in YCoC${}_2$
• Topological Crystalline Metal in Orthorhombic Perovskite Iridates

Cited by in corpus (2)

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• Nonlocality and Strength of Interatomic Interactions Inducing the Topological Phonon Phase Transition