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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.06327 |
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| _version_ | 1866913041285644288 |
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| author | Mazumdar, Sarbajit Mukherjee, Anamitra Saha, Kush Das, Sourin |
| author_facet | Mazumdar, Sarbajit Mukherjee, Anamitra Saha, Kush Das, Sourin |
| contents | We investigate Andreev reflection (AR) in a proximity-induced normal-superconductor (NS) junction within the extended $α-\mathcal{T}_3$ lattice, emphasizing the impact of flat bands on AR. Our findings reveal that flat bands significantly enhance AR. Through wave packet dynamics, we track the real-time evolution of quasi-particle wave packets across the junction, providing deeper insight into electron-hole conversion. Notably, the combination of band flatness and anisotropic dispersion in the $k_x-k_y$ plane induces an electronic analog of Goos-Hänchen (GH) shifts at the NS interface, exhibiting directional asymmetry along the junction. This asymmetry leads to a Hall-like response in Josephson junction in SNS geometry, where transport across the junction region is dominated by the quasi-flat bands. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06327 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Enhanced Andreev Reflection in Flat-Band Systems: Wave Packet Dynamics, DC Transport and the Josephson Effect Mazumdar, Sarbajit Mukherjee, Anamitra Saha, Kush Das, Sourin Superconductivity We investigate Andreev reflection (AR) in a proximity-induced normal-superconductor (NS) junction within the extended $α-\mathcal{T}_3$ lattice, emphasizing the impact of flat bands on AR. Our findings reveal that flat bands significantly enhance AR. Through wave packet dynamics, we track the real-time evolution of quasi-particle wave packets across the junction, providing deeper insight into electron-hole conversion. Notably, the combination of band flatness and anisotropic dispersion in the $k_x-k_y$ plane induces an electronic analog of Goos-Hänchen (GH) shifts at the NS interface, exhibiting directional asymmetry along the junction. This asymmetry leads to a Hall-like response in Josephson junction in SNS geometry, where transport across the junction region is dominated by the quasi-flat bands. |
| title | Enhanced Andreev Reflection in Flat-Band Systems: Wave Packet Dynamics, DC Transport and the Josephson Effect |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2507.06327 |