Extended Data Fig. 4: Bogoliubov angle of individual eigenmodes compared with the MSS model. | Nature

Extended Data Fig. 4: Bogoliubov angle of individual eigenmodes compared with the MSS model.

From: Proximity superconductivity in atom-by-atom crafted quantum dots

Extended Data Fig. 4

a, Bogoliubov angle θB of the in-gap states of the nx = 1 eigenmode with different mean energies \(\bar{{\varepsilon }}={({\varepsilon }}_{+}-{{\varepsilon }}_{-})/2\). All error bars are standard deviations extracted from fitting the data; see Supplementary Note 2 for details. The coloured lines represent the energy-dependent Bogoliubov angles of MSSs computed numerically from the LDOS in equation (13) in Methods. Here we use Γ = 4.55 meV as extracted on average for all nx = 1 eigenmodes (see Supplementary Note 2) and the experimental value Δs = 1.35 meV. The dashed grey lines represent the expected relationship for Bogoliubov quasiparticles (equation (27)) with an induced gap of Δind = εmin set to the value given by the induced gap of the MSS model using the values for Γ and Δs above. b, The same for the nx = 2 eigenmodes and Γ = 2.82 meV. c, nx = 3 eigenmodes, Γ = 2.20 meV. d, nx = 4 eigenmodes, Γ = 1.96 meV. e, nx = 5 eigenmodes, Γ = 1.73 meV. The sample gap Δs is marked by the light blue dashed lines in all panels.

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