In the present work we calculate the magnetic field above a type-II superconductor containing a single isolated flux line. Using an anisotropic Ginzburg-Landau theory and a Euler-Lagrange--like variational procedure we estimate the influence of a surface perpendicular to the flux line on its magnetic and electronic structure. Additionally, we calculate the dependence of the strength of this influence on the anisotropy of the system and on its Ginzburg-Landau parameter {κ}. Highly anisotropic superconductors show a considerable widening of the electronic core radius of a flux line directed along the c axis towards a surface.
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Fritz et al. (1993) studied this question.
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