Roton dispersion relation, showing the quasiparticle energy E(p) as a function of momentum p. A quasiparticle with momentum generated in the local energy minimum is called a roton.
The term "roton-like" is also used for the predicted eigenmodes in 3D metamaterials using beyond-nearest-neighbor coupling.[1][2] The observation of such a "roton-like" dispersion relation was demonstrated under ambient conditions for both acoustic pressure waves in a channel-based metamaterial at audible frequencies and transverse elastic waves in a microscale metamaterial at ultrasound frequencies.[3]
Models
Originally, the roton spectrum was phenomenologically introduced by Lev Landau in 1947.[4] Currently there exist models which try to explain the roton spectrum with varying degrees of success and fundamentality.[5][6] The requirement for any model of this kind is that it must explain not only the shape of the spectrum itself but also other related observables, such as the speed of sound and structure factor of superfluid helium-4. Microwave and Bragg spectroscopy has been conducted on helium to study the roton spectrum.[7]
Bose–Einstein condensation
Bose–Einstein condensation of rotons has been also proposed and studied.[8] Its first detection has been reported in 2018.[9] Under specific conditions the roton minimum gives rise to a crystal solid-like structure called the supersolid, as shown in experiments from 2019.[10][11][12]
