Coherence and superconductivity in coupled one-dimensional chains: a case study of YBa$_{2}$Cu$_{3}$O$_{y}$

Physics – Condensed Matter – Superconductivity

Scientific paper

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4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.94.137004

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 $% y=6.28-6.75$. 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.

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