Coherence and superconductivity in coupled one-dimensional chains: a case study of YBa${}_2$Cu${}_3$O${}_y$

Abstract

We report the infrared (IR) response of Cu-O chains in the high-$T_c$ superconductor YBa${}_2$Cu${}_3$O${}_y$ over the doping range spanning . We find evidence for a power law scaling at mid-IR frequencies consistent with predictions for Tomonaga-Luttinger liquid, thus supporting the notion of one-dimensional transport in the chains. We analyze the role of coupling to the CuO${}_2$ planes in establishing metallicity and superconductivity in disordered chain fragments.

4 pages, 3 figures

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• Transport Anomalies and the Role of Pseudogap in the "60-K Phase" of YBa_{2}Cu_{3}O_{7-δ}
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• Interplane Transport and Superfluid Density in Layered Superconductors
• Preparation and Characterization of Homogeneous YBCO Single Crystals with Doping Level near the SC-AFM Boundary
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