20.500.12556/DiRROS-32124 Strongly correlated Josephson junction proximity effect in the single-layer Hubbard model Strongly correlated Josephson junction: proximity effect in the single-layer Hubbard model We study the proximity effect in the Hubbard model coupled to BCS superconductors describing a single-layer strongly correlated electron system in a phase-biased Josephson junction. We find two distinct gapped solutions, a Mott-like insulating (M phase) and a proximitized superconducting phase (S phase), separated by a first-order transition with hysteresis. In the M phase, the large correlation-induced charge gap strongly suppresses the critical current, while the S phase behaves as a 0-junction, with a proximitized gap that closes for �=� to yield a correlated metal. Phase bias and junction transparency can thus serve as tuning knobs to switch between conducting and insulating regimes. Working within the dynamical mean-field theory using the numerical renormalization group as the impurity solver, we associate M- and S-phase solutions with the doublet and singlet fixed points of the underlying superconducting Anderson impurity problem. We obtain detailed insight into the spectral structure on all energy scales. In the M phase, the self-energy has sub-gap resonances symmetrically located around the Fermi level resulting from the splitting of the “mid-gap pole” found in Mott insulators; this structure accounts for phase insensitivity. strongly correlated systems dynamical mean field theory numerical renormalization group Hubbard model true false true American Physical Society ZDA Angleški jezik Ni določen ©2026 The authors Neznano 2026-08-27 14:32:01 2026-08-27 14:32:02 2026-08-28 04:07:33 0000-00-00 00:00:00 2026 0 0 Nasl. z nasl. zaslona; Opis vira z dne 11. 8. 2026; str. 045124-1-045124-17 iss. 4, [article no.] 045124 Vol. 114 Jul. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2026-02-16 2026-06-17 2026-07-24 53 2469-9969 10.1103/6tps-wkk4 287473923 https://journals.aps.org/prb/abstract/10.1103/6tps-wkk4 1 52125f29-a213-11f1-b645-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=50092 RAZ_Rolih_Don_2026.pdf RAZ_Rolih_Don_2026.pdf 1 4C425DA84A3FF43B40E43DD1854FFBFC cb60aaa4edac2c6268081d5675e9d08495e826931cb22021de3d2f7d58890ff0 94afc657-a213-11f1-b645-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=50096 Institut Jožef Stefan 0 0 0