  This work fights against the widespread delusion cond-mat/0111052 on the
vortex lattice melting. In spite of the outward appearances the Abrikosov state
is not the vortex lattice with crystalline long-range order because pinning
disorders destroy this order in real superconductors (A.I.Larkin, 1970) and the
Abrikosov's solution 1957 year is not valid in the ideal case (K.Maki and
H.Takayama, 1972). Only long-range order - long-range phase coherence exists in
the Abrikosov state. Therefore the vortex lattice melting theories are science
fiction cond-mat/9811051. The phase transition interpreted erroneously as the
vortex lattice melting is in reality a disappearance of long-range phase
coherence. In spite of the widespread opinion these two transitions are
different transitions when a suitable definition of phase coherence is used.
The superconducting state without phase coherence differs in essence from the
mythical vortex liquid. The vortex, as a singularity in superconducting state
with phase coherence, can not exist without phase coherence.
