A model description of the supersolid state in YBCO

I employ a semiphenomenological model introduced in A. M. Tsvelik, A. V. Chubukov, Phys. Rev. Lett. {\bf 98}, 237001 (2007) to describe the state with co-existing superconductivity (SC) and charge density wave (CDW) recently discovered in YBCO. The SC and the CDW order parameter fields are united in a single pseudospin and can be rotated into each other. It is suggested that disorder creates isolated pseudospins which become centers of inelastic scattering of electrons. It is suggested that this scattering is responsible for the logarithmic upturn in the resistivity $\rho (T)\sim -\ln T$ observed at low doping.