| Title: | Strongly correlated Josephson junction : proximity effect in the single-layer Hubbard model |
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| Authors: | ID Rolih, Don, Institut "Jožef Stefan" (Author)
ID Žitko, Rok, Institut "Jožef Stefan" (Author) |
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| Files: |  URL - Source URL, visit https://journals.aps.org/prb/abstract/10.1103/6tps-wkk4
 PDF - Presentation file, download (2,00 MB)
MD5: 4C425DA84A3FF43B40E43DD1854FFBFC
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IJS - Jožef Stefan Institute
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| Abstract: | 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. |
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| Keywords: | strongly correlated systems, dynamical mean field theory, numerical renormalization group, Hubbard model |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 16.02.2026 |
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| Article acceptance date: | 17.06.2026 |
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| Publication date: | 24.07.2026 |
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| Publisher: | American Physical Society |
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| Year of publishing: | 2026 |
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| Number of pages: | str. 045124-1-045124-17 |
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| Numbering: | Vol. 114, iss. 4, [article no.] 045124 |
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| Source: | ZDA |
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| PID: | 20.500.12556/DiRROS-32124  |
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| UDC: | 53 |
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| ISSN on article: | 2469-9969 |
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| DOI: | 10.1103/6tps-wkk4 |
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| COBISS.SI-ID: | 287473923 |
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| Copyright: | ©2026 The authors |
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| Note: | Nasl. z nasl. zaslona;
Opis vira z dne 11. 8. 2026;
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| Publication date in DiRROS: | 27.08.2026 |
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| Views: | 49 |
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| Downloads: | 29 |
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