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Article: Two-stage superconductivity in the Hatsugai-Kohomoto-BCS model
Title | Two-stage superconductivity in the Hatsugai-Kohomoto-BCS model |
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Authors | |
Keywords | Ginzburg-Landau theory non-Fermi liquid strongly-correlated system unconventional superconductivity |
Issue Date | 14-Oct-2022 |
Publisher | IOP Publishing |
Citation | New Journal of Physics, 2022, v. 24, n. 10 How to Cite? |
Abstract | Superconductivity in strongly correlated electrons can emerge out from a normal state that is beyond the Landau’s Fermi liquid paradigm, often dubbed as ‘non-Fermi liquid’. While the theory for non-Fermi liquid is still not yet conclusive, a recent study on the exactly-solvable Hatsugai-Kohomoto (HK) model has suggested a non-Fermi liquid ground state whose Green’s function resembles the Yang-Rice-Zhang ansatz for cuprates (2020 Phillips et al Nat. Phys. 16 1175). Similar to the effect of on-site Coulomb repulsion in the Hubbard model, the repulsive interaction in the HK model divides the momentum space into three parts: empty, single-occupied and double-occupied regions, that are separated from each other by two distinct Fermi surfaces. In the presence of an additional Bardeen-Cooper-Schrieffer-type pairing interaction of a moderate strength, we show that the system exhibits a ‘two-stage superconductivity’ feature as temperature decreases: a first-order superconducting transition occurs at a temperature T c that is followed by a sudden increase of the superconducting order parameter at a lower temperature T c ′ < T c . At the first stage, T c ′ < T < T c , the pairing function arises and the entropy is released only in the vicinity of the two Fermi surfaces; while at the second stage, T < T c ′ , the pairing function becomes significant and the entropy is further released in deep (single-occupied) region in the Fermi sea. The phase transitions are analyzed within the Ginzburg-Landau theory. Our work sheds new light on unconventional superconductivity in strongly correlated electrons. |
Persistent Identifier | http://hdl.handle.net/10722/347668 |
ISSN | 2023 Impact Factor: 2.8 2023 SCImago Journal Rankings: 1.090 |
DC Field | Value | Language |
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dc.contributor.author | Li, Yu | - |
dc.contributor.author | Mishra, Vivek | - |
dc.contributor.author | Zhou, Yi | - |
dc.contributor.author | Zhang, Fu Chun | - |
dc.date.accessioned | 2024-09-27T00:30:15Z | - |
dc.date.available | 2024-09-27T00:30:15Z | - |
dc.date.issued | 2022-10-14 | - |
dc.identifier.citation | New Journal of Physics, 2022, v. 24, n. 10 | - |
dc.identifier.issn | 1367-2630 | - |
dc.identifier.uri | http://hdl.handle.net/10722/347668 | - |
dc.description.abstract | <p>Superconductivity in strongly correlated electrons can emerge out from a normal state that is beyond the Landau’s Fermi liquid paradigm, often dubbed as ‘non-Fermi liquid’. While the theory for non-Fermi liquid is still not yet conclusive, a recent study on the exactly-solvable Hatsugai-Kohomoto (HK) model has suggested a non-Fermi liquid ground state whose Green’s function resembles the Yang-Rice-Zhang ansatz for cuprates (2020 Phillips et al Nat. Phys. 16 1175). Similar to the effect of on-site Coulomb repulsion in the Hubbard model, the repulsive interaction in the HK model divides the momentum space into three parts: empty, single-occupied and double-occupied regions, that are separated from each other by two distinct Fermi surfaces. In the presence of an additional Bardeen-Cooper-Schrieffer-type pairing interaction of a moderate strength, we show that the system exhibits a ‘two-stage superconductivity’ feature as temperature decreases: a first-order superconducting transition occurs at a temperature T c that is followed by a sudden increase of the superconducting order parameter at a lower temperature T c ′ < T c . At the first stage, T c ′ < T < T c , the pairing function arises and the entropy is released only in the vicinity of the two Fermi surfaces; while at the second stage, T < T c ′ , the pairing function becomes significant and the entropy is further released in deep (single-occupied) region in the Fermi sea. The phase transitions are analyzed within the Ginzburg-Landau theory. Our work sheds new light on unconventional superconductivity in strongly correlated electrons.</p> | - |
dc.language | eng | - |
dc.publisher | IOP Publishing | - |
dc.relation.ispartof | New Journal of Physics | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | Ginzburg-Landau theory | - |
dc.subject | non-Fermi liquid | - |
dc.subject | strongly-correlated system | - |
dc.subject | unconventional superconductivity | - |
dc.title | Two-stage superconductivity in the Hatsugai-Kohomoto-BCS model | - |
dc.type | Article | - |
dc.identifier.doi | 10.1088/1367-2630/ac9548 | - |
dc.identifier.scopus | eid_2-s2.0-85139734805 | - |
dc.identifier.volume | 24 | - |
dc.identifier.issue | 10 | - |
dc.identifier.issnl | 1367-2630 | - |