Stability of half quantum vortex in rotating superfluid 3He-A between parallel plates

Abstract

We have found the precise stability region of the half quantum vortex (HQV) for superfluid ${}^3$He A phase confined in parallel plates with a narrow gap under rotation. Standard Ginzburg-Landau free energy, which is well established, is solved to locate the stability region spanned by temperature $T$ and rotation speed ($/Omega$). This $/Omega$-$T$ stability region is wide enough to check it experimentally in available experimental setup. The detailed order parameter structure of HQV characterized by A${}_1$ core is given to facilitate the physical reasons of its stability over other vortices or textures.

5 pages, 4 figures

References in corpus (5)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
• Half quantum vortex in superfluid ${}^3$He-A phase in parallel plate geometry
• Majorana bound state in rotating superfluid 3He-A between parallel plates