title: Ballistic Graphene Josephson Junctions from the Short to the Long Junction Regimes.
abstract: We investigate the critical current I_{C} of ballistic Josephson junctions made of encapsulated graphene-boron-nitride heterostructures. We observe a crossover from the short to the long junction regimes as the length of the device increases. In long ballistic junctions, I_{C} is found to scale as ∝exp(-k_{B}T/δE). The extracted energies δE are independent of the carrier density and proportional to the level spacing of the ballistic cavity. As T→0 the critical current of a long (or short) junction saturates at a level determined by the product of δE (or Δ) and the number of the junction's transversal modes.
authors.affiliation: Department of Applied Physics, University of Tokyo, Bunkyo-ku, Tokyo 113-8656, Japan.
authors.forename: I V
authors.initials: IV
authors.lastname: Borzenets
authors.affiliation: Department of Physics and Astronomy, Appalachian State University, Boone, North Carolina 28607, USA.
authors.forename: F
authors.initials: F
authors.lastname: Amet
authors.affiliation: Department of Physics, Duke University, Durham, North Carolina 27708, USA.
authors.forename: C T
authors.initials: CT
authors.lastname: Ke
authors.affiliation: Department of Physics, Duke University, Durham, North Carolina 27708, USA.
authors.forename: A W
authors.initials: AW
authors.lastname: Draelos
authors.affiliation: Department of Physics, Duke University, Durham, North Carolina 27708, USA.
authors.forename: M T
authors.initials: MT
authors.lastname: Wei
authors.affiliation: Department of Physics, Duke University, Durham, North Carolina 27708, USA.
authors.forename: A
authors.initials: A
authors.lastname: Seredinski
authors.affiliation: Advanced Materials Laboratory, National Institute for Materials Science, Tsukuba 305-0044, Japan.
authors.forename: K
authors.initials: K
authors.lastname: Watanabe
authors.affiliation: Advanced Materials Laboratory, National Institute for Materials Science, Tsukuba 305-0044, Japan.
authors.forename: T
authors.initials: T
authors.lastname: Taniguchi
authors.affiliation: Department of Physics, Duke University, Durham, North Carolina 27708, USA.
authors.forename: Y
authors.initials: Y
authors.lastname: Bomze
authors.affiliation: PRESTO, JST, Kawaguchi-shi, Saitama 332-0012, Japan.
authors.forename: M
authors.initials: M
authors.lastname: Yamamoto
authors.affiliation: Center for Emergent Matter Science (CEMS), RIKEN, Wako-shi, Saitama 351-0198, Japan.
authors.forename: S
authors.initials: S
authors.lastname: Tarucha
authors.affiliation: Department of Physics, Duke University, Durham, North Carolina 27708, USA.
authors.forename: G
authors.initials: G
authors.lastname: Finkelstein