Existence of small semi-vortex solutions for the Rashba SOC cubic NLS system on R^2 is proved via energy minimization under small mass constraint.
Dodson,Global well-posedness and scattering for the mass critical nonlinear Schr¨ odinger equation with mass below the mass of the ground state, Adv
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Existence of small semi-vortex solutions for the cubic nonlinear Schr\"{o}dinger system with Rashba type Spin-Orbit coupling on $\mathbb{R}^2$
Existence of small semi-vortex solutions for the Rashba SOC cubic NLS system on R^2 is proved via energy minimization under small mass constraint.