Stability of the Singular Vortex and Associated Majorana Zero Modes in Trapped p-Wave Resonant Superfluids of Neutral Cold Atoms

The stability conditions for the singular vortex that accompanies Majorana zero modes at the core are investigated for p-wave resonant superfluids of atomic Fermi gases. Within the Ginzburg- Landau framework, we determine the stable conditions in the parameter space for the external rotation frequency and the harmonic trap frequency. There exists a narrow stable region in this parameter space for quasi-two-dimensional condensates. We also describe the detailed characterizations of the spatial structure of the order parameter in the chiral p-wave superfluids under rotation.