High-Temperature Superconductivity from Finite-Range Attractive Interaction
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909496796774400 |
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| author | Miserev, Dmitry Hutchinson, Joel Schoeller, Herbert Klinovaja, Jelena Loss, Daniel |
| author_facet | Miserev, Dmitry Hutchinson, Joel Schoeller, Herbert Klinovaja, Jelena Loss, Daniel |
| contents | In this letter we consider $D$-dimensional interacting Fermi liquids, and demonstrate that an attractive interaction with a finite range $R_s$ that is much greater than the Fermi wavelength $λ_F$ breaks the conventional BCS theory of superconductivity. In contrast to the BCS prediction of a finite superconducting gap for all attractive contact interactions, we show that a finite-range interaction does not induce a superconducting gap. Instead, the pair susceptibility develops a power-law singularity at zero momentum and zero frequency signaling quantum critical behavior without long-range ordering. Starting from this, we show that superconductivity can be stabilized by adding a short-range attractive interaction, which is always present in real electronic systems. As an example, we consider a layered quasi-two-dimensional material with attractive electron-electron interactions mediated by optical phonons. We demonstrate a dome shape of the critical temperature $T_c$ versus doping, strongly suppressed isotope effect, and a weak dependence of the optimal doping and maximal $T_c^* \sim 0.1 E_F$ on the interaction range at $R_s \gg λ_F$, $E_F$ is the Fermi energy. We believe that these results could be relevant to high-temperature superconductors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11624 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | High-Temperature Superconductivity from Finite-Range Attractive Interaction Miserev, Dmitry Hutchinson, Joel Schoeller, Herbert Klinovaja, Jelena Loss, Daniel Strongly Correlated Electrons Superconductivity In this letter we consider $D$-dimensional interacting Fermi liquids, and demonstrate that an attractive interaction with a finite range $R_s$ that is much greater than the Fermi wavelength $λ_F$ breaks the conventional BCS theory of superconductivity. In contrast to the BCS prediction of a finite superconducting gap for all attractive contact interactions, we show that a finite-range interaction does not induce a superconducting gap. Instead, the pair susceptibility develops a power-law singularity at zero momentum and zero frequency signaling quantum critical behavior without long-range ordering. Starting from this, we show that superconductivity can be stabilized by adding a short-range attractive interaction, which is always present in real electronic systems. As an example, we consider a layered quasi-two-dimensional material with attractive electron-electron interactions mediated by optical phonons. We demonstrate a dome shape of the critical temperature $T_c$ versus doping, strongly suppressed isotope effect, and a weak dependence of the optimal doping and maximal $T_c^* \sim 0.1 E_F$ on the interaction range at $R_s \gg λ_F$, $E_F$ is the Fermi energy. We believe that these results could be relevant to high-temperature superconductors. |
| title | High-Temperature Superconductivity from Finite-Range Attractive Interaction |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2502.11624 |