Topological band structure of surface acoustic waves on a periodically corrugated surface

Abstract

Surface acoustic waves (SAWs) are elastic waves localized on a surface of an elastic body. We theoretically study topological edge modes of SAWs for a corrugated surface. We introduce a corrugation forming a triangular lattice on the surface of an elastic body. We treat the corrugation as a perturbation, and construct eigenmodes on a corrugated surface by superposing those for the flat surface at wavevectors which are mutually different by reciprocal lattice vectors. We thereby show emergence of Dirac cones at the $K$ and $K^{\prime }$ points analytically. Moreover, by breaking the time-reversal symmetry, we show that the Dirac cones open a gap, and that the Chern number for the lowest band has a nonzero value. It means existence of topological chiral edge modes of SAWs in the gap.

14 pages, 7 figures

References in corpus (7)

• Topological Acoustics
• Topological modes bound to dislocations in mechanical metamaterials
• Double-Weyl phonons in transition-metal monosilicides
• Topological Nature of the Phonon Hall Effect
• Intrinsically polar elastic metamaterials
• Acoustic Dirac degeneracy and topological phase transitions realized by rotating scatterers
• The phonon Hall effect: theory and application

Cited by in corpus (2)

• Non-Bloch band theory of generalized eigenvalue problems
• Conversion of chiral phonons into magnons in ferromagnets and antiferromagnets