Different Zakharenko waves in layered and quantum systems

This presentation discusses different Zakharenko waves (ZWs) such as the non-dispersive ZWs, dispersive leaky ZWs, slow surface ZWs and ultrasonic surface ZWs, as well as their possible applications. The nondispersive Zakharenko waves can be found in complex systems such as different layered and quantum systems. Existence examples of the non-dispersive Zakharenko waves in both fundamental modes of Lamb type waves propagating in [110] propagation direction of non-piezoelectric cubic crystals are introduced. It is also thought that one non-dispersive Zakharenko wave can exist in each energy branch of quantum elementary excitations. The leaky Zakharenko waves with the shear-horizontal (SH) polarization represent an analog of the leaky Sezawa waves possessing the in-plane polarization. The slow surface Zakharenko waves originating at non-zero wavenumber can be found in layered systems in which Love waves can also exist, but using an additional condition for the shear elastic constants. The ultrasonic surface Zakharenko waves were recently discovered in layered systems, consisting of cubic crystals with strong piezoelectric/piezomagnetic effect, and represent an analog of dispersive Bleustein-Gulyaev waves, which cannot propagate in piezoelectric cubic crystals. Also, there are many other possibilities to find different surface and non-surface waves caused crystal anisotropy that is discussed. PACS: 67.40.-w, 67.40.Db, 67.40.Pm, 67.80.Cx, 67.90.+z