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    Upper critical magnetic field and multiband superconductivity in artificial high-Tc superlattices of nano quantum wells

    Gaetano Campi1,2,*, Andrea Alimenti3,4,†, Gennady Logvenov5,‡, G. Alexander Smith6,§, F. Balakirev6,¶, Sang-Eon Lee7,∥, Luis Balicas7,#, Enrico Silva3,4,**, Giovanni Alberto Ummarino8,†† et al.

    Giovanni Midei9,10,‡‡, Andrea Perali11,2,§§, Antonio Valletta12,¶¶, and Antonio Bianconi1,2,∥∥

    • *Contact author: gaetano.campi@cnr.it
    • †Contact author: andrea.alimenti@uniroma3.it
    • ‡Contact author: g.logvenov@fkf.mpg.de
    • §Contact author: gasmith@lanl.gov
    • Contact author: fedor@lanl.gov
    • ∥Contact author: sangeon.lee@fsu.edu
    • #Contact author: balicas@magnet.fsu.edu
    • **Contact author: enrico.silva@uniroma3.it
    • ††Contact author: giovanni.ummarino@polito.it
    • ‡‡Contact author: giovanni.midei@unicam.it
    • §§Contact author: andrea.perali@unicam.it
    • ¶¶Contact author: antonio.valletta@cnr.it
    • ∥∥Contact author: antonio.bianconi@ricmass.eu

    Phys. Rev. Materials 9, 074204 – Published 22 July, 2025

    DOI: https://doi.org/10.1103/k2yd-vpbn

    Abstract

    Artificial high-Tc superlattices (AHTS) composed of quantum building blocks with tunable superconducting critical temperature have been synthesized by engineering their nanoscale geometry using the Bianconi-Perali-Valletta (BPV) two-gap superconductivity theory. These quantum heterostructures consist of quantum wells made of superconducting, modulation-doped Mott insulators (S), confined by a metallic (N) potential barrier. The lattice geometry has been carefully engineered to induce the predicted Fano-Feshbach shape resonance between the gaps, near a topological Lifshitz transition. Here, we validate the BPV theory by providing compelling experimental evidence that AHTS samples, at the peak of the superconducting dome, exhibit resonant two-band, two-gap superconductivity. This is demonstrated by measuring the temperature dependence of the upper critical magnetic field, μ0Hc2, in samples with superlattice periods 3.3<d<5.28 nm and L/d ratios close to the magic value 2/3 (where L is the thickness of the superconducting La2CuO4 layer and d is the superlattice period). The data reveal the predicted upward concavity in Hc2(T) and a characteristic kink in the coherence length as a function of temperature, confirming the predicted two-band superconductivity with Fermi velocity ratio ≈0.25 and significant pair-exchange term among the two condensates.

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