  Fluctuation behavior of high temperature superconductors in high magnetic
field is studied within the Ginzburg-Landau theory. Landau level degeneracy of
Cooper pairs enhances fluctuations which destroy the familiar Abrikosov vortex
lattice for D=2,3. Instead, a charge-density wave of Cooper pairs (SCDW) is the
new low-temperature phase of the theory. SCDW has no condensate, but differs
from the normal state by a periodic modulation of the Cooper pair density. In
presence of disorder, the Abrikosov state is revived and both superconducting
and density-wave phases are possible.
