Spontaneous Vortex Phase in the Bosonic RVB Theory
  In the description of spin-charge separation based on the phase string theory of the t-J model, spinon excitations are vortices in the superconducting state. Thermally excited spinons destroy phase coherence, leading to a new phase characterized by the presence of free spinon vortices at temperatures, T_c<T<T_v. The temperature scale T_v at which holon condensation occurs marks the onset of pairing amplitude, and is related to the spin pseudogap temperature T^*. The phase below T_v, called the spontaneous vortex phase, shows novel transport properties before phase coherence sets in at T_c. We discuss the Nernst effect as an intrinsic characterization of such a phase, in comparison with recent experimental measurements. 
Z. Y. Weng and V. N. Muthukumar