Abstract

Vortex-lattice structures of antiferromagnetic spinor Bose-Einstein condensates with hyperfine spin $F=1$ are investigated theoretically based on the Ginzburg-Pitaevskii equations near ${T}_{c}.$ The Abrikosov lattice with clear core regions is never found to be stable at any rotation drive $\ensuremath{\Omega}.$ Instead, each component ${\ensuremath{\Psi}}_{i}(i=0,\ifmmode\pm\else\textpm\fi{}1)$ prefers to shift the core locations away from the others to realize almost uniform order-parameter amplitude with complicated magnetic-moment configurations. This system is characterized by many competing metastable structures so that quite a variety of vortices may be realized with a small change in external parameters.

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