Chiral tunneling in single and bilayer graphene

Abstract

We review chiral (Klein) tunneling in single-layer and bilayer graphene and present its semiclassical theory, including the Berry phase and the Maslov index. Peculiarities of the chiral tunneling are naturally explained in terms of classical phase space. In a one-dimensional geometry we reduced the original Dirac equation, describing the dynamics of charge carriers in the single layer graphene, to an effective Schrödinger equation with a complex potential. This allowed us to study tunneling in details and obtain analytic formulas. Our predictions are compared with numerical results. We have also demonstrated that, for the case of asymmetric n-p-n junction in single layer graphene, there is total transmission for normal incidence only, side resonances are suppressed.

submitted to Proceedings of Nobel Symposium on graphene, May 2010

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Cited by in corpus (42)

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• Chiral Tunnelling in Twisted Graphene Bilayer
• Quantum and classical confinement of resonant states in a trilayer graphene Fabry-Perot interferometer
• Current-Voltage Characteristics of Weyl Semimetal Semiconducting Devices, Veselago Lenses and Hyperbolic Dirac Phase
• Modeling Klein tunneling and caustics of electron waves in graphene
• Semiclassical theory of potential scattering for massless Dirac fermions
• Searching for confined modes in graphene channels: the variable phase method
• Klein tunneling in Weyl semimetals under the influence of magnetic field
• Chiral tunneling through generic one-dimensional potential barriers in bilayer graphene
• Friedel oscillations at the surfaces of rhombohedral $N$-layer graphene
• Transport across twist angle domains in moiré graphene
• Optimal traps in graphene
• Peculiarities of dynamics of Dirac fermions associated with zero-mass lines
• Diffraction catastrophes and semiclassical quantum mechanics for Veselago lensing in graphene
• Transport signatures of pseudo-magnetic Landau levels in strained graphene ribbons
• Symmetry breaking and (pseudo)spin polarization in Veselago lenses for massless Dirac fermions
• Band gap and broken chirality in single-layer and bilayer graphene
• Electronic optics in graphene in the semiclassical approximation
• Conductance anomaly near the Lifshitz transition in strained bilayer graphene
• Transport properties of bilayer graphene in a strong in-plane magnetic field
• Euler - Heisenberg effective action and magnetoelectric effect in multilayer graphene
• Semiclassics for matrix Hamiltonians: The Gutzwiller trace formula and applications to the graphene-type systems
• Evidence of electronic cloaking from chiral electron transport in bilayer graphene nanostructures
• Strain-induced modifications of transport in gated graphene nanoribbons
• Superconducting proximity effect in $d$-wave cuprate/ graphene heterostructures
• Schwinger pair creation in multilayer graphene
• Scattering on a rectangular potential barrier in nodal-line Weyl semimetals
• Gate-tunable regular and chaotic electron dynamics in ballistic bilayer graphene cavities
• Perfect transmission at oblique incidence by trigonal warping in graphene P-N junctions
• Weyl fermions in cylindrical wires
• Chiral tunneling in single layer graphene with Rashba spin-orbit coupling: spin currents
• Tunneling phase diagrams in anisotropic Multi-Weyl semimetals
• Time-dependent transport in Graphene Mach-Zender Interferometers
• Tunable spectral narrowing enabling the functionality of graphene qubit circuits at room temperature
• Quantum Charged Spinning Massless Particles in 2+1 dimensions
• Physical Properties of Zener Tunnelling Nano-devices in Graphene
• Transport properties in ABC-ABA-ABC trilayer graphene junctions
• Klein tunneling through triple barrier in AB bilayer graphene
• Evanescent-mode-assisted Klein tunneling in dual-gated bilayer graphene
• Chiral Bloch states in single layer graphene with Rashba spin-orbit coupling: Spectrum and spin current density