Superconducting phase coherence in striped cuprates

We study the problem of phase coherence in doped striped cuprates. We assume the stripes to form a network of one-dimensional Luttinger liquids which are dominated by superconducting fluctuations and pinned by impurities. The problem of phase coherence is discussed. We study the dynamics of the superconducting phase using a model of resistively shunted junctions which leads to a Kosterlitz-Thouless transition. We show that our results are consistent with recent experiments in Zn-doped cuprates. We also explain the scaling of the superconducting critical temperature $T_c$ with the incommensurability as seen in recent neutron scattering experiments and predict the behavior of $H_{c2}$ in the underdoped region.