The Andreev spectrum of a quantum dot embedded in a hybrid semiconductor-superconductor interferometer can be modulated by electrostatic gating, magnetic flux through the interferometer, and Zeeman splitting from in-plane magnetic field. We demonstrate parity transitions in the embedded quantum dot system, and show that the Zeeman-driven transition is accompanied by a 0-{\pi} transition in the superconducting phase across the dot. We further demonstrate that flux through the interferometer modulates both dot parity and 0-{\pi} transitions.
Cite
@article{arxiv.2101.09706,
title = {Zeeman-driven parity transitions in an Andreev quantum dot},
author = {A. M. Whiticar and A. Fornieri and A. Banerjee and A. C. C. Drachmann and S. Gronin and G. C. Gardner and T. Lindemann and M. J. Manfra and C. M. Marcus},
journal= {arXiv preprint arXiv:2101.09706},
year = {2021}
}