# Correspondence between Andreev reflection and Klein tunneling in bipolar graphene

@article{Beenakker2008CorrespondenceBA,
title={Correspondence between Andreev reflection and Klein tunneling in bipolar graphene},
author={C. W. J. Beenakker and A. Akhmerov and Patrik Recher and Jakub Tworzydło},
journal={Physical Review B},
year={2008},
volume={77},
pages={075409}
}
• Published 5 October 2007
• Physics
• Physical Review B
The Andreev reflection at a superconductor and the Klein tunneling through an $n\text{\ensuremath{-}}p$ junction in graphene are two processes that couple electrons to holes\char22{}the former through the superconducting pair potential $\ensuremath{\Delta}$ and the latter through the electrostatic potential $U$. We derive that the energy spectra in the two systems are identical at low energies $\ensuremath{\epsilon}⪡\ensuremath{\Delta}$ and for an antisymmetric potential profile \$U(\ensuremath…
36 Citations

## Figures from this paper

Critical currents in graphene ribbon Josephson's junctions
The rapidly advancing technology of nanodevices has led to the production of smaller and smaller structures often called mesoscopic systems. These devices are large on the atomic scale, but
Chirality crossover of Andreev reflection in a twisted graphene bilayer
• Physics
• 2015
We investigate the Andreev reflection in a normal conductor/superconductor junction based on a twisted graphene bilayer, which gives rise to a feasible crossover between linear and quadratic
Perfect transmission at oblique incidence by trigonal warping in graphene P-N junctions
• Physics
• 2018
We develop an analytical mode-matching technique for the tight-binding model to describe electron transport across graphene P-N junctions. This method shares the simplicity of the conventional
Superconducting Proximity Effect in Graphene Nanodevices: A Transport and Tunneling Study
Provided that it is in good electrical contact with a superconductor, a normal metal can acquire superconducting properties when the temperature is low enough. Known as the superconducting proximity
Super-Andreev reflection and longitudinal shift of pseudospin-1 fermions
• Physics
Physical Review B
• 2020
Novel fermions with a pseudospin-1 structure can be realized as emergent quasiparticles in condensed matter systems. Here, we investigate its unusual properties during the Andreev reflection at a
Proximity coupling in superconductor-graphene heterostructures
• Physics
Reports on progress in physics. Physical Society
• 2018
The phase-sensitive properties and phase-particle dynamics of graphene Josephson junctions are examined to provide an understanding of the underlying mechanisms of Josephson coupling via graphene.
Oblique Klein tunneling in 8−Pmmn borophene p−n junctions
• Physics
Physical Review B
• 2018
The 8-\textit{Pmmn} borophene is one kind of new elemental monolayer, which hosts anisotropic and tilted massless Dirac fermions (MDF). The planar \textit{p-n} junction (PNJ) structure as the basic
Completely independent electrical control of spin and valley in a silicene field effect transistor
• Physics
Journal of physics. Condensed matter : an Institute of Physics journal
• 2016
It is demonstrated that a valley-selective spin filter (VSSF) that supports single-valley and single-spin transport can be realized in a silicene field effect transistor constructed of an npn junction, where an antiferromagnetic exchange field and a perpendicular electric field are applied in the p-doped region.
Quantum Nonlinear Dynamics in Graphene, Optomechanical, and Semiconductor Superlattice Systems
Conductance fluctuations associated with quantum transport through quantumdot systems are currently understood to depend on the nature of the corresponding classical dynamics, i.e., integrable or

## References

SHOWING 1-10 OF 23 REFERENCES
Introduction to mesoscopic physics
• Physics
• 1997
Preface Preface to the second edition List of symbols 1. Introduction and a brief review of experimental systems 2. Quantum transport, Anderson Localization 3. Dephasing by coupling with the
Phys
• Rev. B 29, 1685
• 1984
Phys
• Rev. B 33, 5114
• 1986
Science 317
• 638
• 2007
Introduction to Mesoscopic Physics (Oxford
• 1997
Nature 438
• 197
• 2005
Phys
• Rev. Lett. 98, 157003
• 2007
The finite-temperature calculation of I(Φ) is worked out in the Appendix, and compared with the analogous result in a Josephson junction
Sov
• Phys. JETP 19, 1228
• 1964
Nature Phys
• 2, 620
• 2006