Abstract
Transformation of the Ginzburg-Landau free energy for superfluid to cylindrical polar coordinates yields the field equations and specular boundary conditions for a cylindrical geometry. Similar transformations give the particle and spin current densities. Application to - near in a long pore of radius predicts various stable configurations. For μm, and flare upward near the center, inducing an extra free energy per unit length that is independent of , and an angular momentum per particle . For μm, is uniform and is radial, with a depaired region of radius near the center; the corresponding extra free energy per unit length is proportional to , with no current or angular momentum. In a large cylinder ( μm), an applied axial field deforms and , increasing the angular momentum up to a critical magnetic field (≈ 20-30 G), when and abruptly undergo a textural transition and become radial. In contrast, an applied axial superflow in a large cylinder decreases the angular momentum.
- Received 9 November 1976
DOI:https://doi.org/10.1103/PhysRevB.15.5225
©1977 American Physical Society