Possible observation of phase separation near a quantum phase transition   in doubly connected ultrathin superconducting cylinders of aluminum
  The kinetic energy of superconducting electrons in an ultrathin, doubly connected superconducting cylinder, determined by the applied flux, increases as the cylinder diameter decreases, leading to a destructive regime around half-flux quanta and a superconductor to normal metal quantum phase transition (QPT). Regular step-like features in resistance vs. temperature curves taken at fixed flux values were observed near the QPT in ultrathin Al cylinders. It is proposed that these features are most likely resulted from a phase separation near the QPT in which normal regions nucleate in a homogeneous superconducting cylinder. 
H. Wang, M. M. Rosario, N. A. Kurz, B. Y. Rock, M. Tian, P. T.   Carrigan, and Y. Liu