Vortices in polar and $β$ phases of $^3$He

Recently new topological phase of superfluid $^3$He has been discovered -- the $β$ phase, which is obtained by strong polarization of the nematic polar phase. We consider half-quantum vortices, which are formed in rotating cryostat, and discuss the evolution of the vortex lattice in the process of the transition from the polar phase to the $β$-phase via the spin-polarized polar phase.

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