Anisotropic vortices in nematic superconductors

We present a detailed study of anisotropic quantum vortices in nematic superconductors—materials in which a multi-component order parameter spontaneously breaks the rotational symmetry of the underlying lattice. By solving the coupled Ginzburg–Landau equations, we obtain analytical asymptotic solutions in different regions, including the vortex core, and verify them through exact numerical integration. We visualize the vortex structure by calculating the local density of states. Systems with hexagonal and trigonal crystal symmetries are considered, and different pairing channels are analyzed. We also investigate the structure of the vortex lattice at various magnetic field strengths. Finally, we discuss the relevance of our results to the nematic topological superconductor candidates M_xBi₂Se₃ and 4Hb-TaS₂.