Collective excitation in superfluid helium-4 (a quasiparticle)
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.
In theoretical physics , a roton is an elementary excitation, or quasiparticle , seen in superfluid helium-4 and Bose–Einstein condensates with long-range dipolar interactions or spin-orbit coupling . The dispersion relation of elementary excitations in this superfluid shows a linear increase from the origin, but exhibits first a maximum and then a minimum in energy as the momentum increases. Excitations with momenta in the linear region are called phonons ; those with momenta close to the minimum are called rotons. Excitations with momenta near the maximum are called maxons .
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]
^ Wang, Ke; Chen, Yi; Kadic, Muamer; Wang, Changguo; Wegener, Martin (24 May 2022). "Nonlocal interaction engineering of 2D roton-like dispersion relations in acoustic and mechanical metamaterials" . Communications Materials . 3 (1): 35. Bibcode :2022CoMat...3...35W . doi :10.1038/s43246-022-00257-z . S2CID 248991736 .
^ Chen, Yi; Kadic, Muamer; Wegener, Martin (2 June 2021). "Roton-like acoustical dispersion relations in 3D metamaterials" . Nature Communications . 12 (1): 3278. Bibcode :2021NatCo..12.3278C . doi :10.1038/s41467-021-23574-2 . PMC 8172548 . PMID 34078904 .
^ Iglesias Martínez, Julio Andrés; Groß, Michael Fidelis; Chen, Yi; Frenzel, Tobias; Laude, Vincent; Kadic, Muamer; Wegener, Martin (2021-12-03). "Experimental observation of roton-like dispersion relations in metamaterials" . Science Advances . 7 (49): eabm2189. Bibcode :2021SciA....7.2189I . doi :10.1126/sciadv.abm2189 . ISSN 2375-2548 . PMC 8635434 . PMID 34851658 .