2023/12/21 by Jonas Lidal, Lidal, Jonas, Jeroen Danon +1
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Superconductivity (cond-mat.supr-con)
paper · pdf · doi:10.48550/arxiv.2312.13833
openalex publication_date 2023/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We use a single-channel scattering formalism to derive general expressions for the Andreev bound-state energies and resulting current--phase relationship in a one-dimensional semiconductor-based SNS-junction, including arbitrarily oriented effective spin--orbit and Zeeman fields and taking into account disorder in the junction in by including a single scatterer with transmission probability 0 ≤ T2 ≤ 1, arbitrarily located in the normal region. We first corroborate our results by comparing them to the known analytic limiting-case expressions. Then we simplify our general result in several additional limits, including the case of the scatterer being at a specific location and the cases of small and large spin--orbit fields compared to the Zeeman splitting, assuming low transparency (T≪ 1). We believe that our results could be helpful for disentangling the main spin-mixing processes in experiments on low-dimensional semiconductor-based SNS-junctions.