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Condensed Matter > Superconductivity

arXiv:2507.06327 (cond-mat)
[Submitted on 8 Jul 2025]

Title:Enhanced Andreev Reflection in Flat-Band Systems: Wave Packet Dynamics, DC Transport and the Josephson Effect

Authors:Sarbajit Mazumdar, Anamitra Mukherjee, Kush Saha, Sourin Das
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Abstract:We investigate Andreev reflection (AR) in a proximity-induced normal-superconductor (NS) junction within the extended $\alpha-\mathcal{T}_3$ 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.
Comments: 13 pages, 11 figures
Subjects: Superconductivity (cond-mat.supr-con)
Cite as: arXiv:2507.06327 [cond-mat.supr-con]
  (or arXiv:2507.06327v1 [cond-mat.supr-con] for this version)
  https://doi.org/10.48550/arXiv.2507.06327
Journal reference: Phys. Rev. B 113, 134517 (2026)
Related DOI: https://doi.org/10.1103/qr7p-c56y

Submission history

From: Sarbajit Mazumdar [view email]
[v1] Tue, 8 Jul 2025 18:32:18 UTC (1,892 KB)
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