A magnetic field penetrates a superconductor through an array of 'vortices'
, each of which carries one quantum of flux that is surrounded by a circula
ting supercurrent. In this vortex state, the resistivity is determined by t
he dynamical properties of the vortex 'matter'. For the high-temperature co
pper oxide superconductors (see ref.1 for a theoretical review), the vortex
phase can be a 'solid', in which the vortices are pinned, but the solid ca
n 'melt' into a 'liquid' phase, in which their mobility gives rise to a fin
ite resistance. (This melting phenomenon is also believed to occur in conve
ntional superconductors, but in an experimentally inaccessible part of the
phase diagram(2).) For the case of YBa2Cu3O7, there are indications of the
existence of a critical point, at which the character of the melting change
s(3-10). But neither the thermodynamic nature of the melting, nor the phase
diagram in the vicinity of the critical point, has been well established.
Here we report measurements of specific heat and magnetization that determi
ne the phase diagram in this material to 26 T, well above the critical poin
t. Our results reveal the presence of a reversible second-order transition
above the critical point. An unusual feature of this transition-namely, tha
t the high-temperature phase is the less symmetric in the sense of the Land
au theory(11)-is in accord with theoretical predictions(12-14) of a transit
ion to a second vortex-liquid phase.