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Formation of Droplets of the Order Parameter and Superconductivity in Inhomogeneous Fermi–Bose Mixtures (Brief Review)

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The studies of a number of systems treated in terms of an inhomogeneous (spatially separated) Fermi–Bose mixture with superconducting clusters or droplets of the order parameter in a host medium with unpaired normal states are reviewed. A spatially separated Fermi–Bose mixture is relevant to superconducting Ba-KBiO3 bismuth oxides. Droplets of the order parameter can occur in thin films of a dirty metal, described in the framework of the strongly attractive two-dimensional Hubbard model at a low electron density with a clearly pronounced diagonal disorder. The Bose–Einstein condensate droplets are formed in mixtures and dipole gases with an imbalance in the densities of the Fermi and Bose components. The Bose–Einstein condensate clusters also arise at the center or at the periphery of a magnetic trap involving spin-polarized Fermi gases. Exciton and plasmon collapsing droplets can emerge in the presence of the exciton–exciton or plasmon–plasmon interaction. The plasmon contribution to the charge screening in MgB2 leads to the formation of spatially modulated inhomogeneous structures. In metallic hydrogen and metal hydrides, droplets can be formed in shock-wave experiments at the boundary of the first-order phase transition between the metallic and molecular phases. In a spatially separated Fermi–Bose mixture arising in an Aharonov–Bohm interference ring with a superconducting bridge in a topologically nontrivial state, additional Fano resonances may appear and collapse due to the presence of edge Majorana modes in the system.

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Funding

This work was supported by the Russian Foundation for Basic Research (project no. 20-02-00015). M.Yu. Kagan acknowledges the support of the National Research University Higher School of Economics (Program of Basic Research).

Author information

Authors and Affiliations

  1. National Research University Higher School of Economics, 101000, Moscow, Russia

    M. Yu. Kagan, R. Sh. Ikhsanov, K. I. Kugel & E. A. Burovski

  2. Kapitza Institute for Physical Problems, Russian Academy of Sciences, 119334, Moscow, Russia

    M. Yu. Kagan

  3. Kirensky Institute of Physics, Federal Research Center KSC, Siberian Branch, Russian Academy of Sciences, 660036, Krasnoyarsk, Russia

    S. V. Aksenov

  4. Institute of Applied Physics, Russian Academy of Sciences, 603950, Nizhny Novgorod, Russia

    A. V. Turlapov

  5. Moscow Institute of Physics and Technology (National Research University), 141700, Dolgoprudnyi, Moscow region, Russia

    A. V. Turlapov

  6. Russian Quantum Center, 143025, Skolkovo, Moscow, Russia

    A. V. Turlapov

  7. Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, 125412, Moscow, Russia

    K. I. Kugel

  8. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409, Moscow, Russia

    E. A. Mazur

  9. National Research Center Kurchatov Institute, 123182, Moscow, Russia

    E. A. Mazur

  10. Lebedev Physical Institute, Russian Academy of Sciences, 119991, Moscow, Russia

    E. A. Kuznetsov

  11. Landau Institute of Theoretical Physics, Russian Academy of Sciences, 142432, Chernogolovka, Moscow region, Russia

    E. A. Kuznetsov

  12. Skolkovo Institute of Science and Technology, 121205, Skolkovo, Moscow, Russia

    E. A. Kuznetsov

  13. Donostia International Physics Center (DIPC), 20018, San Sebastian/Donostia, Basque Country, Spain

    V. M. Silkin

  14. Departamento de Polimeros y Materiales Avanzados: Fisica, Quimica y Tecnologia, Facultad de Ciencias Quimicas, Universidad del Pais Vasco UPV/EHU, Apartado 1072, 20080, San Sebastiain/Donostia, Basque Country, Spain

    V. M. Silkin

  15. IKERBASQUE, Basque Foundation for Science, 48013, Bilbao, Basque Country, Spain

    V. M. Silkin

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  1. M. Yu. Kagan
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Correspondence to M. Yu. Kagan.

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Translated by K. Kugel

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Kagan, M.Y., Aksenov, S.V., Turlapov, A.V. et al. Formation of Droplets of the Order Parameter and Superconductivity in Inhomogeneous Fermi–Bose Mixtures (Brief Review). Jetp Lett. 117, 755–764 (2023). https://doi.org/10.1134/S0021364023600994

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