Current resonances in graphene with time dependent potential barriers

Abstract

A method is derived to solve the massless Dirac-Weyl equation describing electron transport in a mono-layer of graphene with a scalar potential barrier U(x,t), homogeneous in the y-direction, of arbitrary x- and time dependence. Resonant enhancement of both electron backscattering and currents, across and along the barrier, is predicted when the modulation frequencies satisfy certain resonance conditions. These conditions resemble those for Shapiro-steps of driven Josephson junctions. Surprisingly, we find a non-zero y-component of the current for carriers of zero momentum along the y-axis.

5 pages, 1 figure, Phys. Rev. Lett. (2012) (in press); Phys. Rev. Lett. (2012)

References in corpus (25)

• The electronic properties of graphene
• Energy Band Gap Engineering of Graphene Nanoribbons
• Chiral tunneling and the Klein paradox in graphene
• Valley filter and valley valve in graphene
• Quantum interference and Klein tunneling in graphene heterojunctions
• Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
• Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
• Evidence of Klein tunneling in graphene p-n junctions
• Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
• Transport measurements across a tunable potential barrier in graphene
• First direct observation of Dirac fermions in graphite
• New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
• Electronic properties of mesoscopic graphene structures: charge confinement and control of spin and charge transport
• Quantum dots in graphene
• Tuning laser-induced bandgaps in graphene
• Effect of radiation on transport in graphene
• Conductance quantization and snake states in graphene magnetic waveguides
• Photon-assisted electron transport in graphene
• Massless Dirac fermions in a laser field as a counterpart of graphene superlattices
• Electromagnetic field induced suppression of transport through $n$-$p$ junctions in graphene
• Laser-induced quantum pumping in graphene
• Artifical atoms in interacting graphene quantum dots
• Ballistic transport of graphene pnp junctions with embedded local gates
• Valley symmetry breaking and gap tuning in graphene by spin doping
• Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene

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• Scattering of two-dimensional Dirac fermions on gate-defined oscillating quantum dots
• Dirac fermion time-Floquet crystal: manipulating Dirac points
• Adiabatic quantum pumping in graphene with magnetic barriers
• Fano Resonance in the Nonadiabatically Pumped Shot Noise of a Time-Dependent Quantum Well in 2DEG and Graphene
• Anomalous Floquet tunneling in uniaxially strained graphene
• Electron transmission through a periodically driven graphene magnetic barrier
• The emergence of quantum capacitance in epitaxial graphene
• Energy shift and conduction-to-valence band transition mediated by a time dependent potential barrier in graphene
• Resonant high harmonic generation in a ballistic graphene transistor with an AC driven gate
• Beating oscillation and Fano resonance in the laser assisted electron transmission through graphene δ- function magnetic barriers
• Floquet analysis of pulsed Dirac systems: A way to simulate rippled graphene
• Particle Transport in Graphene Nanoribbon Driven by Ultrashort Pulses
• Nonlinear response of a ballistic graphene transistor with an ac-driven gate: high harmonic generation and THz detection
• Shot noise in a harmonically driven ballistic graphene transistor
• Nearly pure spin-valley sideband tunneling in silicene: effect of interplay of time periodic potential barrier and spin-valley-dependent Dirac mass
• Radiation-induced quantum Fano-type resonances in the transport of $N$-$P$-$N$ graphene based junctions
• Asymmetric Andreev Reflection Induced Electrical and Thermal Hall-like Effects in Metal/Anisotropic Superconductor Junctions
• Transport on a topological insulator surface with a time-dependent magnetic barrier
• Electron Transmission Across Normal Metal-Strained Graphene-Normal Metal Junctions
• Transmissions in gapped graphene exposed to tilting and oscillating barriers