Excitation gap of a graphene channel with superconducting boundaries

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PhysRevB_75_045417.pdf
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2007
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Titov, M.
Ossipov, A.
Beenakker, Carlo W. J.
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We calculate the density of states of electron-hole excitations in a superconductor normal-metal superconductor (SNS) junction in graphene, in the long-junction regime that the superconducting gap is much larger than the Thouless energy ET=hv/d (with v the carrier velocity in graphene and d the separation of the NS boundaries). If the normal region is undoped, the excitation spectrum consists of neutral modes that propagate along the boundaries transporting energy but no charge. These Andreev modes are a coherent superposition of electron states from the conduction band and hole states from the valence band, coupled by specular Andreev reflection at the superconductor.

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ISO 690TITOV, M., A. OSSIPOV, Carlo W. J. BEENAKKER, 2007. Excitation gap of a graphene channel with superconducting boundaries. In: Physical Review B. 2007, 75, 045417. Available under: doi: 10.1103/PhysRevB.75.045417
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@article{Titov2007Excit-5026,
  year={2007},
  doi={10.1103/PhysRevB.75.045417},
  title={Excitation gap of a graphene channel with superconducting boundaries},
  volume={75},
  journal={Physical Review B},
  author={Titov, M. and Ossipov, A. and Beenakker, Carlo W. J.},
  note={Article Number: 045417}
}
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    <dcterms:abstract xml:lang="eng">We calculate the density of states of electron-hole excitations in a superconductor normal-metal superconductor (SNS) junction in graphene, in the long-junction regime that the superconducting gap is  much larger than the Thouless energy ET=hv/d (with v the carrier velocity in graphene and d the separation of the NS boundaries). If the normal region is undoped, the excitation spectrum consists of neutral modes that propagate along the boundaries transporting energy but no charge. These  Andreev modes  are a coherent superposition of electron states from the conduction band and hole states from the valence band, coupled by specular Andreev reflection at the superconductor.</dcterms:abstract>
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