2007/07/31 by G. Tkachov, Grigory Tkachov
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.76.235409
published as Physical Review B 76, 235409 (2007) · 5 pages, 5 figures, to be published in Phys. Rev. B
arxiv created 2007/11/16 · openalex publication_date 2007/12/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Motivated by recent scanning tunneling experiments on zigzag-terminated graphene, this paper investigates an interplay of evanescent and extended quasiparticle states in the local density of states near a zigzag edge using the Green's function of the Dirac equation. A model system is considered where the local electronic structure near the edge influences transport of both normal and superconducting electrons via a Fano resonance. In particular, the temperature enhancement of the critical Josephson current and 0\text\ensuremath-\ensuremathπ transitions are predicted.