Absence of the d-density-wave state from the two-dimensional Hubbard model -: art. no. 113105

Using the dynamical cluster approximation (DCA) we calculate the alternating circulating-current susceptibility and investigate the transition to the d-density wave (DDW) order in the two-dimensional Hubbard model. The 2x2 cluster used in the DCA calculation is the smallest that can capture d-wave order; therefore, due to the mean-field character of our calculation, we expect to overestimate the DDW transition temperatures. Despite this, we found no transition to the DDW state. On the other hand, DCA captures well the pseudogap features, showing that the pseudogap is not caused by the DDW order. In the pseudogap region the DDW susceptibility is enhanced, as predicted by the slave boson SU(2) theory, but it still is much smaller than the d-wave pairing susceptibility.