Nematic Enhancement of Superconductivity in Multilayer Graphene via Quantum Geometry
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911480667963392 |
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| author | Shavit, Gal |
| author_facet | Shavit, Gal |
| contents | Multilayer graphene materials have recently emerged as a fascinating versatile platform for correlated electron phenomena, hosting superconductivity, fractional quantum Hall states, and correlated insulating phases. A particularly striking experimental observation is the recurring correlation between nematicity in the normal state -- manifested by spontaneous breaking of the underlying $C_3$ symmetry -- and the stabilization of robust superconducting phases. Despite its ubiquity across different materials, devices and experiments, this trend has thus far lacked a clear microscopic explanation. In this work, we identify a concrete mechanism linking nematic order to enhanced superconductivity. We demonstrate that $C_3$-symmetry breaking strongly reshapes the Bloch wavefunctions near the Fermi level, producing a pronounced enhancement and redistribution of the so-called quantum metric. This effect drastically amplifies superconducting pairing mediated by the quantum geometric Kohn-Luttinger mechanism [G. Shavit \it{et al.}, \href{https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.134.176001}{Phys. Rev. Lett. 134, 176001 (2025)}]. Our analysis reveals that nematicity naturally boosts the superconducting coupling constant in experimentally relevant density regimes, providing a compelling explanation for observed correlations. These results establish the central role of geometric effects in graphene superconductivity and highlight nematicity as a promising avenue for engineering stronger unconventional superconducting states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_13407 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nematic Enhancement of Superconductivity in Multilayer Graphene via Quantum Geometry Shavit, Gal Superconductivity Mesoscale and Nanoscale Physics Multilayer graphene materials have recently emerged as a fascinating versatile platform for correlated electron phenomena, hosting superconductivity, fractional quantum Hall states, and correlated insulating phases. A particularly striking experimental observation is the recurring correlation between nematicity in the normal state -- manifested by spontaneous breaking of the underlying $C_3$ symmetry -- and the stabilization of robust superconducting phases. Despite its ubiquity across different materials, devices and experiments, this trend has thus far lacked a clear microscopic explanation. In this work, we identify a concrete mechanism linking nematic order to enhanced superconductivity. We demonstrate that $C_3$-symmetry breaking strongly reshapes the Bloch wavefunctions near the Fermi level, producing a pronounced enhancement and redistribution of the so-called quantum metric. This effect drastically amplifies superconducting pairing mediated by the quantum geometric Kohn-Luttinger mechanism [G. Shavit \it{et al.}, \href{https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.134.176001}{Phys. Rev. Lett. 134, 176001 (2025)}]. Our analysis reveals that nematicity naturally boosts the superconducting coupling constant in experimentally relevant density regimes, providing a compelling explanation for observed correlations. These results establish the central role of geometric effects in graphene superconductivity and highlight nematicity as a promising avenue for engineering stronger unconventional superconducting states. |
| title | Nematic Enhancement of Superconductivity in Multilayer Graphene via Quantum Geometry |
| topic | Superconductivity Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2509.13407 |