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High-Temperature Superconductivity in a Hyperbolic Geometry of Complex Matter from Nanoscale to Mesoscopic Scale

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Abstract

While it was known that high-temperature superconductivity appears in cuprates showing complex multiscale phase separation due to inhomogeneous charge density wave (CDW) order, the spatial distribution of CDW domains remained an open question for a long time, because of the lack of experimental probes able to visualize their spatial distribution between atomic and macroscopic scale. Recently scanning micro-X-ray diffraction (S μXRD) revealed CDW crystalline electronic puddles with a complex fat-tailed spatial distribution of their size. In this work, we have determined and mapped the anisotropy of the CDW puddles in HgBa2CuO4 + y (Hg1201) single crystal. We discuss the emergence of high-temperature superconductivity in the interstitial space with hyperbolic geometry that opens a new paradigm for quantum coherence at high temperature where negative dielectric function and interference between different pathways can help to raise the critical temperature.

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Authors and Affiliations

  1. Institute of Crystallography, CNR, via Salaria Km 29.300, Monterotondo, Rome, 00015, Italy

    G. Campi & A. Bianconi

  2. RICMASS Rome International Center for Materials Science Superstripes, via dei Sabelli 119A, 00185, Rome, Italy

    G. Campi & A. Bianconi

  3. INSTM, Italian Interuniversity Consortium on Materials Science and Technology, UDR, Rome, Italy

    A. Bianconi

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Campi, G., Bianconi, A. High-Temperature Superconductivity in a Hyperbolic Geometry of Complex Matter from Nanoscale to Mesoscopic Scale. J Supercond Nov Magn 29, 627–631 (2016). https://doi.org/10.1007/s10948-015-3326-9

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