Abstract
The recent proposals of experiments with single Andreev bound states make relevant a detailed analysis of these states in multi-terminal superconducting nanostructures. We evaluate the energy splitting of degenerate Andreev bound states, that overlap in a superconducting lead, and find that the splitting is reduced in comparison with their energy by a small factor $\sqrt{R G_Q}$, $R G_Q$ being the dimensionless resistance of the overlap region in the normal state. This permits quantum manipulation of the quasiparticles in these states. We provide a simple scheme of such manipulation.
Highlights
The superconducting nanodevices are in focus of modern experimental research, in particular because they are a promising platform for various qubit realizations, e.g., Josephsonbased qubits of several kinds [1,2,3,4,5] or Majorana bound states [6,7,8,9,10]
The setup consists of three superconducting leads, connected by two single-channel junctions, and there is an Andreev bound states (ABS) formed in each junction
Let us mention that the fact that the energy splitting is fine makes relevant a set of topics to research that we list here
Summary
The superconducting nanodevices are in focus of modern experimental research, in particular because they are a promising platform for various qubit realizations, e.g., Josephsonbased qubits of several kinds [1,2,3,4,5] or Majorana bound states [6,7,8,9,10]. We have found that it is an interference effect similar to mesoscopic fluctuations of conductance [38] Such fluctuations develop in the lead on the scale of ABS overlap that encompasses a large number of quantum channels. This makes this energy splitting fine at the scale of. W√e have estimated the typical energy splitting δD ∼ / N, N being the number of channels, that can be estimated as the inverse of the normal dimensionless resistance of the overlap region, N ≈ (RGQ)−1, with GQ ≡ e2/(π h ) being conductance quantum. Observation of energy splitting gives an interesting and unusual way to see and explore mesoscopic fluctuations
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
