Intravalley spin-polarized superconductivity in rhombohedral tetralayer graphene
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arXiv
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2024
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| author | Chou, Yang-Zhi Zhu, Jihang Sarma, Sankar Das |
| author_facet | Chou, Yang-Zhi Zhu, Jihang Sarma, Sankar Das |
| contents | We study the intravalley spin-polarized superconductivity in rhombohedral tetralayer graphene, which has been discovered experimentally in Han $et$ $al$ arXiv:2408.15233. We construct a minimal model for the intravalley spin-polarized superconductivity, assuming a simplified anisotropic interaction that depends only on the angle between the incoming and outgoing momenta. Despite the absence of \textit{Fermi surface nesting}, we show that superconductivity can emerge near the Van Hove singularity with the maximal $T_c$ near a bifurcation point of the peaks in the density of states. We identify the $p+ip$, $h+ih$, and the nodal $f$-wave pairings as the possible states, which are all pair density wave orders due to the intravalley nature. Furthermore, these pair density wave orders require a finite attractive threshold for superconductivity, resulting in {a narrow stripe shape of superconducting region}, consistent with experimental findings. We point out that the Kohn-Luttinger mechanism is a plausible explanation with a dominant $p+ip$ pairing. The possibility of realizing intravalley spin-polarized superconductivity in other rhombohedral graphene systems is also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06701 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Intravalley spin-polarized superconductivity in rhombohedral tetralayer graphene Chou, Yang-Zhi Zhu, Jihang Sarma, Sankar Das Superconductivity Mesoscale and Nanoscale Physics Materials Science Strongly Correlated Electrons We study the intravalley spin-polarized superconductivity in rhombohedral tetralayer graphene, which has been discovered experimentally in Han $et$ $al$ arXiv:2408.15233. We construct a minimal model for the intravalley spin-polarized superconductivity, assuming a simplified anisotropic interaction that depends only on the angle between the incoming and outgoing momenta. Despite the absence of \textit{Fermi surface nesting}, we show that superconductivity can emerge near the Van Hove singularity with the maximal $T_c$ near a bifurcation point of the peaks in the density of states. We identify the $p+ip$, $h+ih$, and the nodal $f$-wave pairings as the possible states, which are all pair density wave orders due to the intravalley nature. Furthermore, these pair density wave orders require a finite attractive threshold for superconductivity, resulting in {a narrow stripe shape of superconducting region}, consistent with experimental findings. We point out that the Kohn-Luttinger mechanism is a plausible explanation with a dominant $p+ip$ pairing. The possibility of realizing intravalley spin-polarized superconductivity in other rhombohedral graphene systems is also discussed. |
| title | Intravalley spin-polarized superconductivity in rhombohedral tetralayer graphene |
| topic | Superconductivity Mesoscale and Nanoscale Physics Materials Science Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2409.06701 |