Josephson effect in ballistic graphene

By M. Titov, C. Beenakker. 2006

231 citations recorded by the source corpus.

We solve the Dirac\char21{}Bogoliubov\char21{}de Gennes equation in an impurity-free superconductor\char21{}normal-metal\char21{}superconductor junction, to determine the maximal supercurrent ${I}_{c}$ that can flow through an undoped strip of graphene with heavily doped superconducting electrodes. The result ${I}_{c}\ensuremath{\simeq}(W∕L)e{\ensuremath{\Delta}}_{0}∕\ensuremath{\hbar}$ is determined by the superconducting gap ${\ensuremath{\Delta}}_{0}$ and by the aspect ratio of the junction (length $L$ small relative to the width $W$ and to the superconducting coherence length). Moving away from the Dirac point of zero doping, we recover the usual ballistic result ${I}_{c}\ensuremath{\simeq}(W∕{\ensuremath{\lambda}}_{F})e{\ensuremath{\Delta}}_{0}∕\ensuremath{\hbar}$, in which the Fermi wavelength ${\ensuremath{\lambda}}_{F}$ takes over from $L$. The product ${I}_{c}{R}_{\mathrm{N}}\ensuremath{\simeq}{\ensuremath{\Delta}}_{0}∕e$ of the critical current and normal-state resistance retains its universal value (up to a numerical prefactor) on approaching the Dirac point.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/c5eeb7bdeb790eafcc6f71a7d5426bbe9397b905

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

  1. N. M. R. Peres
  2. K. Novoselov
  3. A.K. Geim
  4. Francisco Guinea
  5. A. C. Castro Neto
  6. A. Di Bartolomeo
  7. Wenzhong Bao
  8. C. N. Lau

In Materials Chemistry

  1. N. M. R. Peres
  2. K. Novoselov
  3. Francisco Guinea
  4. A. C. Castro Neto
  5. A.K. Geim
  6. A. Di Bartolomeo
  7. Alexander A. Balandin
  8. E. Hwang

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