Swallow-tail dispersions of moving solitons in a two-dimensional fermionic superfluid

Abstract

Soliton-like localised wave solutions in a two-dimensional Fermi superfluid are studied by solving the Bogoliubov-de Gennes equations in the BCS regime of weak pairing interactions. The dispersion relations of these solitons are found to exhibit a peculiar swallow-tail shape, with cusps and multiple branches. The effective mass of the solitons is found to diverge and change sign at the cusp. This behavior is in contrast to the smooth dispersion relations and negative effective masses of solitons in the three-dimensional Fermi superfluid. The swallow-tail dispersion relations are shown to be a consequence of counterflow of the superfluid and sign-changing contributions to the superfluid current from different transverse momenta in the Bogoliubov-de Gennes formalism. The results are relevant for the understanding of solitonic excitations in two-dimensional Fermi superfluids, such as ultracold atomic gases and high-temperature superconductors.

(12 pages, 9 figures, version submitted for review in Phys. Rev. A)

References in corpus (5)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Stabilization of Solitons Generated by a Supersonic Flow of Bose-Einstein Condensate Past an Obstacle
• Solitons, solitonic vortices, and vortex rings in a confined Bose-Einstein condensate
• Traveling Dark Solitons in Superfluid Fermi Gases
• Bragg scattering of Cooper pairs in an ultra-cold Fermi gas