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Quantum effect of inductance on geometric Cooper-pair transport

2012/09/30 by J. Salmilehto, Mikko Möttönen, M. Möttönen
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies #cond-mat.supr-con #quant-ph

paper · pdf · doi:10.1103/physrevb.86.184512

published as Phys. Rev. B 86, 184512 (2012) · 13 pages, 6 figures, final version

arxiv created 2012/11/20 · openalex publication_date 2012/11/20 · arxiv updated 2012/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a model for a flux-assisted Cooper-pair pump, the sluice, which is used to study geometric charge transport. Our model allows for a nonvanishing loop inductance going beyond the usual treatment with an exact phase bias. We derive the device Hamiltonian and current operators for different elements of the system and calculate the pumped charge carried by the ground state in the adiabatic limit. We show that extending the model beyond the exact phase bias has a weak but potentially non-negligible effect on the charge transport. This effect is observed to depend on the external flux bias. The adiabatic energy level and eigenstate structures are studied and the unusual features are explained. Finally, we discuss the requirements of adiabaticity.

Citations