Andreev reflection and Klein tunneling in graphene
By C. Beenakker. 2007
921 citations recorded by the source corpus.
This is a colloquium-style introduction to two electronic processes in a carbon monolayer (graphene), each having an analogue in relativistic quantum mechanics. Both processes couple electron-like and hole-like states, through the action of either a superconducting pair potential or an electrostatic potential. The first process, Andreev reflection, is the electron-to-hole conversion at the interface with a superconductor. The second process, Klein tunneling, is the tunneling through a p-n junction. Existing and proposed experiments on Josephson junctions and bipolar junctions in graphene are discussed from a unified perspective. CONTENTS: I. INTRODUCTION II. BASIC PHYSICS OF GRAPHENE (Dirac equation; Time reversal symmetry; Boundary conditions; Pseudo-diffusive dynamics) III. ANDREEV REFLECTION (Electron-hole conversion; Retro-reflection vs. specular reflection; Dirac-Bogoliubov-de Gennes equation; Josephson junctions; Further reading) IV. KLEIN TUNNELING (Absence of backscattering; Bipolar junctions; Magnetic field effects; Further reading) V. ANALOGIES (Mapping between NS and p-n junction; Retro-reflection vs. negative refraction; Valley-isospin dependent quantum Hall effect; Pseudo-superconductivity)
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/39285e6a2db032805a2d0df59912aaff5aada613
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Citations in the corpus
- Colloquium: The transport properties of graphene: An introduction (2010, methodology): “We consider that at r = R the wave function satisfies the zig-zag boundary conditions (Akhmerov and Beenakker, 2008; Dominguez-Adamé, 1990), ψ1,m(kR)/ψ2,m(kR) = 0, where ψi,m(kr), with i = 1, 2, is the i−component of the Dirac spinor.”
- Dirac-point engineering and topological phase transitions in honeycomb optical lattices (2008, neutral): “20 R. A. Sepkhanov, J. Nilsson, and C. W. J. Beenakker (2008), arXiv:0803.1581.”
- Electronic transport in two-dimensional graphene (2010, background): “Graphene can also be made to superconduct by coupling it to superconducting leads and through the proximity effect (Beenakker, 2006, 2008; Du et al., 2008a; Heersche et al., 2007) or other novel proposals (Feigel’man et al., 2008; Lutchyn et al., 2008).”
- The role of contact resistance in graphene field-effect devices (2017, background): “[178-180] suggested that graphene enables transparent electrical contacts with superconductors and represents an ideal system to study the physics of superconductivity at mesoscopic scale.”
- Dirac electronic states in graphene systems: optical spectroscopy studies (2010, background): “The challenging expectation are that graphene will introduce quantum electrodynamics into solid state laboratories [16, 17, 18, 19] and that it will constitute the basis for future electronics plausible avoiding the known limitations (at the nano-scale) of the CMOS technology.”
- New perspectives for Rashba spin-orbit coupling. (2015, background): “Klein tunneling is the absence of backscattering from a potential (defects and impurities) due to the penetration of negative energy particles into the barrier, resulting in large mobilities [108], [109] as mentioned above in the context of topological insulators.”
- Colloquium : Topological band theory (2016, background): “…II-IV-V2 Th: Feng 2011, Wang 2011 LiAuSe; KHgSb Th: Zhang 2011 β-Ag2Te Th: Zhang 2011; Exp: Sulaev 2012, Zhao 2013 2D systems Graphene Th: Kane 2005a, Beenakker 2008, Peres 2010, Lau 2013, Ghaemi 2012, Wunsch 2008, Kotov 2012, Goerbig 2011, Sarma 2011, Weeks 2011, Diniz 2013, Maher 2013, Kou…”