Bernoulli potential in type-I and weak type-II superconductors: III.   Electrostatic potential above the vortex lattice
  The electrostatic potential above the Abrikosov vortex lattice, discussed earlier by Blatter {\em et al.} {[}PRL {\bf 77}, 566 (1996){]}, is evaluated within the Ginzburg-Landau theory. Unlike previous studies we include the surface dipole. Close to the critical temperature, the surface dipole reduces the electrostatic potential to values below a sensitivity of recent sensors. At low temperatures the surface dipole is less effective and the electrostatic potential remains observable as predicted earlier. 
Pavel Lipavsk\'y, Klaus Morawetz, Jan Kol\'a\v{c}ek, Ji{\v{r}}\'i J.   Mare\v{s}, Ernst Helmut Brandt and Michael Schreiber