Tunneling conductance of the graphene SNS junction with a single localized defect

@article{Bolmatov2010TunnelingCO,
  title={Tunneling conductance of the graphene SNS junction with a single localized defect},
  author={Dima Bolmatov and Chung Yu Mou},
  journal={Journal of Experimental and Theoretical Physics},
  year={2010},
  volume={110},
  pages={613-617}
}
  • D. Bolmatov, C. Mou
  • Published 2010
  • Physics
  • Journal of Experimental and Theoretical Physics
Using the Dirac-Bogoliubov-de Gennes equation, we study the electron transport in a graphene-based superconductor-normal(graphene)-superconductor (SNS) junction. We consider the properties of tunneling conductance through an undoped strip of graphene with heavily doped superconducting electrodes in the dirty limit ldef ≪ L ≪ ξ. We find that the spectrum of Andreev bound states is modified in the presence of a single localized defect in the bulk. The minimum tunneling conductance remains the… Expand

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References

SHOWING 1-10 OF 51 REFERENCES
Tunneling conductance of graphene NIS junctions.
We show that, in contrast with conventional normal metal-insulator-superconductor (NIS) junctions, the tunneling conductance of a NIS junction in graphene is an oscillatory function of the effectiveExpand
Massive Dirac fermions in single-layer graphene.
  • D. V. Khveshchenko
  • Physics, Medicine
  • Journal of physics. Condensed matter : an Institute of Physics journal
  • 2009
TLDR
This work focuses on the putative Peierls- and Cooper-like pairing instabilities, which can be driven by sufficiently strong Coulomb and electron-phonon interactions, respectively, and compares favorably with the available experimental and Monte Carlo data. Expand
Electron transport in a ferromagnet-superconductor junction on graphene
In a usual ferromagnet connected with a superconductor, the exchange potential suppresses the superconducting pairing correlation. We show that this common knowledge does not hold in aExpand
Specular Andreev reflection in graphene.
By combining the Dirac equation of relativistic quantum mechanics with the Bogoliubov-de Gennes equation of superconductivity we investigate the electron-hole conversion at aExpand
Electronic properties of disordered two-dimensional carbon
Two-dimensional carbon, or graphene, is a semimetal that presents unusual low-energy electronic excitations described in terms of Dirac fermions. We analyze in a self-consistent way the effects ofExpand
Localized states in a d-wave superconductor.
  • Lee
  • Physics, Medicine
  • Physical review letters
  • 1993
TLDR
It is argued that even if the impurity concentration is small, the quasiparticles in the superconducting state become strongly localized for a short coherence length d-wave superconductor, which leads to thermally activated behavior for the microwave conductivity and possibly for the London penetration depth. Expand
Zero-bias conductance peak in tunneling spectroscopy of hybrid superconductor junctions
A generalized method of image, incorporated with the nonequilibrium Keldysh-Green's function formalism, is employed to investigate the tunneling spectroscopy of hybrid systems in the configuration ofExpand
Intervalley scattering, long-range disorder, and effective time-reversal symmetry breaking in graphene.
TLDR
It is found that when the intervalley scattering time is long or comparable to tau(phi), defects can induce an effective time-reversal symmetry breaking of the Hamiltonian associated to each one of the two valleys in graphene. Expand
Experimental observation of the quantum Hall effect and Berry's phase in graphene
TLDR
An experimental investigation of magneto-transport in a high-mobility single layer of graphene observes an unusual half-integer quantum Hall effect for both electron and hole carriers in graphene. Expand
Ferromagnetism in armchair graphene nanoribbons
Due to the weak spin-orbit interaction and the peculiar relativistic dispersion in graphene, there are exciting proposals to build spin qubits in graphene nanoribbons with armchair boundaries.Expand
...
1
2
3
4
5
...