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Enhanced Kohn-Luttinger topological superconductivity in bands with nontrivial geometry

2024/11/14 by Ammar Jahin, Jahin, Ammar, Shi‐Zeng Lin +1 · 13 citations
Engineering · Materials Science · Physics and Astronomy · #Advanced Materials Characterization Techniques #Diamond and Carbon-based Materials Research #FOS: Physical sciences #Strongly Correlated Electrons (cond-mat.str-el) #Superconductivity (cond-mat.supr-con) #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.2411.09664

openalex publication_date 2024/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Abstract

We study the effect of the electron wavefunction on Kohn-Luttinger superconductivity. The role of the wavefunction is encoded in a complex form factor describing the topology and geometry of the bands. We show that the electron wavefunction significantly impacts the superconducting transition temperature and superconducting order parameter. We illustrate this using the lowest Landau level form factor and find exponential enhancement of Tc for the resulting topological superconductor. We find that the ideal band geometry, which favors a fractional Chern insulator in the flat band limit, has an optimal Tc. Finally, we apply this understanding to a model relevant to rhombohedral graphene multilayers and unravel the importance of the band geometry for achieving robust superconductivity.

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