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Stable semivortex gap solitons in a spin–orbit-coupled Fermi gas

Author

Listed:
  • Díaz, P.
  • Molinares, H.
  • Pérez, L.M.
  • Laroze, D.
  • Bragard, J.
  • Malomed, B.A.

Abstract

We demonstrate the existence of semivortex (SV) solitons, with vorticities 0 and 1 in the two components, in a two-dimensional (2D) fermionic spinor system under the action of the Rashba-type spin–orbit coupling in the combination with the Zeeman splitting (ZS). In the “heavy-atom” approximation, which was previously elaborated for the bosonic system, the usual kinetic energy is neglected, which gives rise to a linear spectrum with a bandgap. The model includes the effective Pauli self-repulsion with power 7/3, as produced by the density-functional theory of Fermi superfluids. In the general case, the inter-component contact repulsion is included too. We construct a family of gap solitons of the SV type populating the spectral bandgap. A stability region is identified for the SV solitons, by means of systematic simulations, in the parameter plane of the cross-repulsion strength and chemical potential. The stability region agrees with the prediction of the anti-Vakhitov-Kolokolov criterion, which is a relevant necessary stability condition for systems with self-repulsive nonlinearities. We also test the stability of the SV solitons against a sudden change of the ZS strength, which initiates robust oscillations in the spin state of the soliton due to transfer of particles between the system’s components.

Suggested Citation

  • Díaz, P. & Molinares, H. & Pérez, L.M. & Laroze, D. & Bragard, J. & Malomed, B.A., 2024. "Stable semivortex gap solitons in a spin–orbit-coupled Fermi gas," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    • Handle: RePEc:eee:chsofr:v:179:y:2024:i:c:s0960077924000079
    DOI: 10.1016/j.chaos.2024.114456
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    References listed on IDEAS

    as
    1. Malomed, B.A., 2022. "Multidimensional dissipative solitons and solitary vortices," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    2. Díaz, P. & Pérez, L.M. & Reyes, L.I. & Laroze, D. & Bragard, J., 2021. "Taming Faraday waves in binary fermionic clouds: The effect of Zeeman interaction," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
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