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Two possible setups with spatially indirect dipole excitons or direct excitons are considered. The drag density characterizing a magnitude of this effect is found by many-body calculations with taking into account dynamical screening of electron-exciton interaction. For the superconducting electronic layer, we assume the recently proposed polaritonic mechanism of Cooper pairing, although the preexisting thin-film superconductor should also demonstrate the effect. According to our calculations, the drag density can reach considerable values in realistic conditions, with excitonic and electronic layers made from GaAs-based quantum wells or two-dimensional transition metal dichalcogenides. The predicted nondissipative drag could be strong enough to be observable as induction of a supercurrent in the electronic layer by a flow of polariton Bose condensate.<\/jats:p>","DOI":"10.22331\/q-2022-08-24-787","type":"journal-article","created":{"date-parts":[[2022,8,24]],"date-time":"2022-08-24T10:41:51Z","timestamp":1661337711000},"page":"787","update-policy":"http:\/\/dx.doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":5,"title":["Superfluid drag between excitonic polaritons and superconducting electron gas"],"prefix":"10.22331","volume":"6","author":[{"given":"Azat F.","family":"Aminov","sequence":"first","affiliation":[{"name":"National Research University Higher School of Economics, 109028 Moscow, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexey A.","family":"Sokolik","sequence":"additional","affiliation":[{"name":"National Research University Higher School of Economics, 109028 Moscow, Russia"},{"name":"Institute for Spectroscopy, Russian Academy of Sciences, 142190 Troitsk, Moscow, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yurii E.","family":"Lozovik","sequence":"additional","affiliation":[{"name":"National Research University Higher School of Economics, 109028 Moscow, Russia"},{"name":"Institute for Spectroscopy, Russian Academy of Sciences, 142190 Troitsk, Moscow, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2022,8,24]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"A. G. Rojo. ``Electron-drag effects in coupled electron systems&apos;&apos;. J. Phys.: Condens. Matter 11, R31\u2013R52 (1999).","DOI":"10.1088\/0953-8984\/11\/5\/004"},{"key":"1","doi-asserted-by":"publisher","unstructured":"B. N. Narozhny and A. Levchenko. ``Coulomb drag&apos;&apos;. Rev. Mod. Phys. 88, 025003 (2016).","DOI":"10.1103\/RevModPhys.88.025003"},{"key":"2","doi-asserted-by":"publisher","unstructured":"C. P. Morath, J. A. Seamons, J. L. Reno, and M. P. Lilly. ``Density imbalance effect on the Coulomb drag upturn in an undoped electron-hole bilayer&apos;&apos;. Phys. Rev. B 79, 041305 (2009).","DOI":"10.1103\/PhysRevB.79.041305"},{"key":"3","doi-asserted-by":"publisher","unstructured":"A. F. Croxall, K. D. Gupta, C. A. Nicoll, M. Thangaraj, H. E. Beere, I. Farrer, D. A. Ritchie, and M. Pepper. ``Anomalous Coulomb drag in electron-hole bilayers&apos;&apos;. Phys. Rev. Lett. 101, 246801 (2008).","DOI":"10.1103\/PhysRevLett.101.246801"},{"key":"4","doi-asserted-by":"publisher","unstructured":"J. I. A. Li, T. Taniguchi, K. Watanabe, J. Hone, and C. R. Dean. ``Excitonic superfluid phase in double bilayer graphene&apos;&apos;. Nat. Phys. 13, 751\u2013755 (2017).","DOI":"10.1038\/nphys4140"},{"key":"5","unstructured":"Y. E. Lozovik and V. I. Yudson. ``New mechanism for superconductivity: pairing between spatially separated electrons and holes&apos;&apos;. Sov. Phys. JETP 44, 389 (1976). url: http:\/\/jetp.ras.ru\/44\/2\/p389."},{"key":"6","doi-asserted-by":"publisher","unstructured":"D. K. Efimkin and V. Galitski. ``Anomalous Coulomb drag in electron-hole bilayers due to the formation of excitons&apos;&apos;. Phys. Rev. Lett. 116, 046801 (2016).","DOI":"10.1103\/PhysRevLett.116.046801"},{"key":"7","doi-asserted-by":"publisher","unstructured":"N. Giordano and J. D. Monnier. ``Cross-talk effects in superconductor\u2013insulator\u2013normal-metal trilayers&apos;&apos;. Phys. Rev. B 50, 9363\u20139368 (1994).","DOI":"10.1103\/PhysRevB.50.9363"},{"key":"8","doi-asserted-by":"publisher","unstructured":"X. Huang, G. Baz\u00e0n, and G. H. Bernstein. ``Observation of supercurrent drag between normal metal and superconducting films&apos;&apos;. Phys. Rev. Lett. 74, 4051\u20134054 (1995).","DOI":"10.1103\/PhysRevLett.74.4051"},{"key":"9","unstructured":"R. Tao, L. Li, H.-Y. Xie, X. Fan, L. Guo, L. Zhu, Y. Yan, Z. Zhang, and C. Zeng. ``Josephson-Coulomb drag effect between graphene and LaAlO$_{3}$\/SrTiO$_{3}$ interfacial superconductor&apos;&apos; (2020). arXiv:2003.12826."},{"key":"10","unstructured":"A. F. Andreev and E. P. Bashkin. ``Three-velocity hydrodynamics of superfluid solutions&apos;&apos;. Sov. Phys. JETP 42, 164\u2013167 (1975). url: http:\/\/jetp.ras.ru\/42\/1\/p164."},{"key":"11","doi-asserted-by":"publisher","unstructured":"J.-M. Duan and S. Yip. ``Supercurrent drag via the Coulomb interaction&apos;&apos;. Phys. Rev. Lett. 70, 3647\u20133650 (1993).","DOI":"10.1103\/PhysRevLett.70.3647"},{"key":"12","doi-asserted-by":"publisher","unstructured":"K. Hossain, S. Gupta, and M. M. Forbes. ``Detecting entrainment in Fermi-Bose mixtures&apos;&apos;. Phys. Rev. A 105, 063315 (2022).","DOI":"10.1103\/physreva.105.063315"},{"key":"13","doi-asserted-by":"publisher","unstructured":"D. V. Fil and S. I. Shevchenko. ``Nondissipative drag of superflow in a two-component Bose gas&apos;&apos;. Phys. Rev. A 72, 013616 (2005).","DOI":"10.1103\/PhysRevA.72.013616"},{"key":"14","doi-asserted-by":"publisher","unstructured":"D. Romito, C. Lobo, and A. Recati. ``Linear response study of collisionless spin drag&apos;&apos;. Phys. Rev. Research. 3, 023196 (2021).","DOI":"10.1103\/PhysRevResearch.3.023196"},{"key":"15","doi-asserted-by":"publisher","unstructured":"M. Ota and S. Giorgini. ``Thermodynamics of dilute Bose gases: Beyond mean-field theory for binary mixtures of Bose-Einstein condensates&apos;&apos;. Phys. Rev. A 102, 063303 (2020).","DOI":"10.1103\/PhysRevA.102.063303"},{"key":"16","doi-asserted-by":"publisher","unstructured":"S. H. Abedinpour and B. Tanatar. ``Counterflow in Bose gas bilayers: Collective modes and dissipationless drag&apos;&apos;. Low Temp. Phys. 46, 480\u2013484 (2020).","DOI":"10.1063\/10.0001051"},{"key":"17","doi-asserted-by":"publisher","unstructured":"K. Sellin and E. Babaev. ``Superfluid drag in the two-component Bose-Hubbard model&apos;&apos;. Phys. Rev. B 97, 094517 (2018).","DOI":"10.1103\/PhysRevB.97.094517"},{"key":"18","doi-asserted-by":"publisher","unstructured":"S. Hartman, E. Erlandsen, and A. Sudb\u00f8. ``Superfluid drag in multicomponent Bose-Einstein condensates on a square optical lattice&apos;&apos;. Phys. Rev. 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Ostrovskaya. ``Direct measurement of polariton-polariton interaction strength in the Thomas-Fermi regime of exciton-polariton condensation&apos;&apos;. Phys. Rev. B 100, 035306 (2019).","DOI":"10.1103\/PhysRevB.100.035306"},{"key":"64","doi-asserted-by":"publisher","unstructured":"S. Utsunomiya, L. Tian, G. Roumpos, C. W. Lai, N. Kumada, T. Fujisawa, M. Kuwata-Gonokami, A. L\u00f6ffler, S. H\u00f6fling, A. Forchel, and Y. Yamamoto. ``Observation of Bogoliubov excitations in exciton-polariton condensates&apos;&apos;. Nat. Phys. 4, 700\u2013705 (2008).","DOI":"10.1038\/nphys1034"},{"key":"65","doi-asserted-by":"publisher","unstructured":"S. Bhandari, K. Wang, K. Watanabe, T. Taniguchi, P. Kim, and R. M. Westervelt. ``Imaging electron motion in a few layer MoS$_{2}$ device&apos;&apos;. J. Phys.: Conf. Ser. 864, 012031 (2017).","DOI":"10.1088\/1742-6596\/864\/1\/012031"},{"key":"66","doi-asserted-by":"publisher","unstructured":"D. Landau, E. M. Lifshits, and L. P. 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