We have calculated the density of states of quasiparticles in a d(x)(-y)(2)(2)+id(xy) superconductor, and show that in the mixed stale the quasiparticle spectrum remains gapless because of the Doppler shift by superflow. It was found that if the d(xy) order gap Delta(1)proportional to root H as suggested by experiments, then thermal conductivity kappa(alpha) root H in accord with experimental data at lowest temperatures. [S0163-1829(99)01109-1].