Virginia TechKogan, V. G.Clem, J. R.Deang, Jennifer M.Gunzburger, Max D.2014-02-112014-02-112002-02-14Kogan, VG ; Clem, JR ; Deang, JM ; et al., Mar 1, 2002. "Nucleation of superconductivity in finite anisotropic superconductors and the evolution of surface superconductivity toward the bulk mixed state," PHYSICAL REVIEW B 65(9): 094514. DOI: 10.1103/PhysRevB.65.0945141098-0121http://hdl.handle.net/10919/25398In anisotropic superconductors having an arbitrary orientation of the sample surface relative to the crystal principal axes, the surface critical field H-c3 is less than 1.695H(c2) unless the field is situated along one of the principal crystal planes. Below H-c3 in the vicinity of nucleation, the order parameter scales as rootH(c3)-H. Computational studies for infinite cylinders having rectangular cross sections are presented which show that, due to corners and a finite cross section, the surface superconductivity state persists for fields above the theoretically predicted value for semi-infinite samples. They also show that vortices exist within the Surface superconductivity sheath above the bulk critical field.en-USIn Copyrighteigenvalue problemsii superconductorscritical-fieldboundarydomainsonsetPhysicsArticle - Refereedhttp://link.aps.org/doi/10.1103/PhysRevB.65.094514https://doi.org/10.1103/PhysRevB.65.094514