Superconducting phase coherence in striped cuprates

TL;DR

This paper investigates phase coherence in striped cuprates, modeling them as networks of Luttinger liquids with superconducting fluctuations, and explains experimental observations including the critical temperature scaling and magnetic field behavior.

Contribution

It introduces a resistively shunted junction model for phase dynamics in striped cuprates, linking microscopic stripe behavior to macroscopic superconducting properties.

Findings

Consistent explanation of Zn-doped cuprates experiments

Scaling law for $T_c$ with incommensurability

Predicted behavior of $H_{c2}$ in underdoped cuprates

Abstract

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.