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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2504.17214 |
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| _version_ | 1866913806606663680 |
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| author | Zhao, Aiying Klemm, Richard A Gu, Qiang |
| author_facet | Zhao, Aiying Klemm, Richard A Gu, Qiang |
| contents | We investigate the influence of Landau Levels (LLs) and Zeeman energy, induced by an applied magnetic field ${\bf B}$, on the critical temperature $T_c$ for two-dimensional (2D) ultraclean metals using a fully quantum mechanical approach within the Bardeen-Cooper-Schrieffer (BCS) theory. In contrast to standard BCS theory, it allows for Cooper pair formation between electrons with opposite spins and momenta along the ${\bf B}$ direction, both on the same or on neighboring LLs. Our quantum mechanical treatment of LLs reveals that $T_c({\bf B})$ for electrons paired on the same LLs exhibits oscillations around the BCS critical temperature at lower magnetic fields, a phenomenon analogous to the de Haas-van Alphen effect. The Zeeman energy leads to a decrease in $T_c({\bf B})$ with increasing ${\bf B}$ for electrons paired both on the same and on neighboring LLs. Notably, as the $g$-factor increases, the amplitude of the ${\bf B}$ oscillations gradually diminishes until they vanish at higher magnetic fields. Conversely, for small $g$-factors, electron pairing on the same or on neighboring LLs can result in a re-entrant superconducting phase at very high magnetic fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17214 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Magnetic-field oscillations of the critical temperature in ultraclean, two-dimensional Type-I superconductor Zhao, Aiying Klemm, Richard A Gu, Qiang Superconductivity We investigate the influence of Landau Levels (LLs) and Zeeman energy, induced by an applied magnetic field ${\bf B}$, on the critical temperature $T_c$ for two-dimensional (2D) ultraclean metals using a fully quantum mechanical approach within the Bardeen-Cooper-Schrieffer (BCS) theory. In contrast to standard BCS theory, it allows for Cooper pair formation between electrons with opposite spins and momenta along the ${\bf B}$ direction, both on the same or on neighboring LLs. Our quantum mechanical treatment of LLs reveals that $T_c({\bf B})$ for electrons paired on the same LLs exhibits oscillations around the BCS critical temperature at lower magnetic fields, a phenomenon analogous to the de Haas-van Alphen effect. The Zeeman energy leads to a decrease in $T_c({\bf B})$ with increasing ${\bf B}$ for electrons paired both on the same and on neighboring LLs. Notably, as the $g$-factor increases, the amplitude of the ${\bf B}$ oscillations gradually diminishes until they vanish at higher magnetic fields. Conversely, for small $g$-factors, electron pairing on the same or on neighboring LLs can result in a re-entrant superconducting phase at very high magnetic fields. |
| title | Magnetic-field oscillations of the critical temperature in ultraclean, two-dimensional Type-I superconductor |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2504.17214 |