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A novel spin texture formed by Cooper pair spins is found theoretically witha phase string attached by half-quantized vortices at both ends in a unit celland characterized by its topologically rich vortex structure in a spin-tripletpairing. It is stable at an intermediate field region sandwiched by twoconventional singular vortex phases below and above it. The d-vector directionof this spin texture is tilted from the principal crystal axes, whose spinsusceptibility is neither the normal Pauli one \c{hi}N nor zero, describingmicroscopically the process of the d-vector rotation phenomena observedrecently in UTe2. We compare the spin texture and singular vortex state inrelation to the quasi-particle structure with Majorana zero modes for STM, thenuclear spin resonance spectral line width for NMR and {\mu}SR, and the vortexform factors for SANS to facilitate the identification of the pairing symmetryin UTe2.

Topological spin texture and d-vector rotation in spin-triplet superconductors: A case of UTe2