Quasiclassical Theory of the Josephson Effect in Ballistic Graphene Junctions
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概要
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The stationary Josephson effect in a system of ballistic graphene is studied in the framework of quasiclassical Green's function theory. Reflecting the ultimate two-dimensionality of graphene, a Josephson junction involving a graphene sheet embodies what we call a planar Josephson junction, in which superconducting electrodes partially cover the two-dimensional graphene layer, achieving a planar contact with it. For capturing this feature we employ a model of tunneling Hamiltonian that also takes account of the effects of inhomogeneous carrier density. Within the effective mass approximation we derive a general formula for the Josephson current, revealing characteristic features of the superconducting proximity effect in the planar Josephson junction. The same type of analysis has been equally applied to mono-, bi-, and arbitrary N-layer cases.
- 2012-09-15
著者
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Takane Yositake
Department Of Applied Physics Osaka City University
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Imura Ken-ichiro
Department Of Physics Tohoku University:department Of Quantum Matter Adsm Hiroshima University
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Imura Ken-Ichiro
Department of Quantum Matter, Graduate School of Advanced Sciences of Matter, Hiroshima University, Higashihiroshima, Hiroshima 739-8530, Japan
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