Shifts of the nuclear resonance in the vortex lattice in   YBa$_2$Cu$_3$O$_7$
  The NMR and NQR spectra of $^{63}$Cu in the CuO$_2$ plane of YBa$_2$Cu$_3$O$_7$ in the superconducting state are discussed in terms of the phenomenological theory of Ginzburg-Landau type extended to lower temperatures. We show that the observed spectra, Kumagai {\em et al.}, PRB {\bf 63}, 144502 (2001), can be explained by a standard theory of the Bernoulli potential with the charge transfer between CuO$_2$ planes and CuO chains assumed. 
Pavel Lipavsk\'y, Jan Kol\'a{\v{c}}ek, Klaus Morawetz, Ernst Helmut   Brandt