arXiv · 1902.02066
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 $K'$ 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.
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Tomohiro Inoue, Shuichi Murakami. 2019-03-29. Topological band structure of surface acoustic waves on a periodically corrugated surface. https://doi.org/10.1103/physrevb.99.195443
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