Controllable Andreev Bound States in Bilayer Graphene Josephson Junction from Short to Long Junction Limits

Abstract

We demonstrate that the mode number of Andreev bound states in bilayer graphene Josephson junctions can be modulated by in situ control of the superconducting coherence length. By exploiting the quadratic band dispersion of bilayer graphene, we control the Fermi velocity and thus the coherence length by the application of the electrostatic gating. Tunneling spectroscopy of Andreev bound states reveals a crossover from short to long Josephson junction regimes as the gate voltage is approached near the charge neutral point of bilayer graphene. Furthermore, quantitative analysis of Andreev spectrums for different mode numbers allows us to quantitatively estimate the phase-dependent Josephson current. Our work paves a new way to study multi-mode Andreev levels and to engineer Fermi velocity with bilayer graphene.