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We study the transmission probability of Dirac fermions in graphene scattered by a triangular double barrier potential in the presence of an external magnetic field. Our system made of two triangular potential barrier regions separated by a…

介观与纳米尺度物理 · 物理学 2022-11-09 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

We address the problem of barrier tunneling in the two-dimensional T_3 lattice (dice lattice). In particular we focus on the low-energy, long-wavelength approximation for the Hamiltonian of the system, where the lattice can be described by…

介观与纳米尺度物理 · 物理学 2011-09-29 D. F. Urban , D. Bercioux , M. Wimmer , W. Häusler

We use the Wick-rotated time-dependent supersymmetry to construct models of two-dimensional Dirac fermions in presence of an electrostatic grating. We show that there appears omnidirectional perfect transmission through the grating at…

介观与纳米尺度物理 · 物理学 2020-09-30 Alonso Contreras-Astorga , Francisco Correa , Vit Jakubsky

Confining Dirac fermions in graphene by electrostatic fields is a challenging task. Electric quantum dots created by a scanning tunneling microscope (STM) tip can trap zero-energy quasi-particles. The Lorentzian quantum well provides a…

介观与纳米尺度物理 · 物理学 2024-10-01 Francisco Correa , Luis Inzunza , Vít Jakubský

Klein tunneling and conductance for Dirac fermions in ABC-stacked trilayer graphene (ABC-TLG) through symmetric and asymmetric double potential barriers are investigated using the two and six-band continuum model. Numerical results for our…

介观与纳米尺度物理 · 物理学 2021-10-01 Abderrahim El Mouhafid , Ahmed Jellal , Miloud Mekkaoui

This article provides a pedagogical review on Klein tunneling in graphene, i.e. the peculiar tunneling properties of two-dimensional massless Dirac electrons. We consider two simple situations in detail: a massless Dirac electron incident…

介观与纳米尺度物理 · 物理学 2011-11-03 P. E. Allain , J. N. Fuchs

The tunneling effect of two-dimensional Dirac fermions in a constant magnetic field is studied. This can be done by using the continuity equation at some points to determine the corresponding reflexion and transmission coefficients. For…

高能物理 - 理论 · 物理学 2011-04-28 El Bouazzaoui Choubabi , Mohamed El Bouziani , Ahmed Jellal

Electrostatic confinement of charge carriers in graphene is governed by Klein tunneling, a relativistic quantum process in which particle-hole transmutation leads to unusual anisotropic transmission at pn junction boundaries. Reflection and…

Quantum resonant tunneling behaviors of double-barrier structures on graphene are investigated under the tight-binding approximation. The Klein tunneling and resonant tunneling are demonstrated for the quasiparticles with energy close to…

介观与纳米尺度物理 · 物理学 2014-05-02 Wei-Yin Deng , Rui Zhu , Yun-Chang Xiao , Wen-Ji Deng

Massless Dirac fermions in graphene provide unprecedented opportunities to realize the Klein paradox, which is one of the most exotic and striking properties of relativistic particles. In the seminal theoretical work [Katsnelson et al.,…

介观与纳米尺度物理 · 物理学 2017-05-17 Ke-Ke Bai , Jia-Bin Qiao , Hua Jiang , Haiwen Liu , Lin He

We study the tunneling of Dirac fermions in graphene through a double barrier potential allowing the carriers to have an effective mass inside the barrier as generated by a lattice miss-match with the boron nitride substrate. The…

介观与纳米尺度物理 · 物理学 2016-05-06 Hocine Bahlouli , El Bouazzaoui Choubabi , Ahmed Jellal , Miloud Mekkaoui

The conductance and the Fano factor in a graphene sheet in the ballistic regime are calculated. The electrostatic potential in the sheet is modeled by a trapezoid barrier, which allows to use the exact solution of the Dirac equation in a…

介观与纳米尺度物理 · 物理学 2015-05-13 E. B. Sonin

Tunnelling of electrons in graphene-based junctions is studied theoretically. Graphene is assumed to be deposited either directly on a ferromagnetic insulator or on a few atomic layers of boron nitride which separate graphene from a…

介观与纳米尺度物理 · 物理学 2019-05-01 Jędrzej Tepper , Józef Barnaś

Transport through potential barriers in graphene is investigated using a set of metallic gates capacitively coupled to graphene to modulate the potential landscape. When a gate-induced potential step is steep enough, disorder becomes less…

介观与纳米尺度物理 · 物理学 2009-01-18 N. Stander , B. Huard , D. Goldhaber-Gordon

The so-called Klein paradox - unimpeded penetration of relativistic particles through high and wide potential barriers - is one of the most exotic and counterintuitive consequences of quantum electrodynamics (QED). The phenomenon is…

介观与纳米尺度物理 · 物理学 2007-05-23 M. I. Katsnelson , K. S. Novoselov , A. K. Geim

We study forward scattering of 2D massless Dirac electrons at Fermi energy {\varepsilon} > 0 in single layer graphene through a 1D rectangular barrier of height {u_0} in the presence of uniform Rashba spin-orbit coupling (of strength…

介观与纳米尺度物理 · 物理学 2021-05-05 Y. Avishai , Y. B. Band

We investigate theoretically the spin-independent tunneling magnetoresistance effect in a graphene monolayer modulated by two parallel ferromagnets deposited on a dielectric layer. For the parallel magnetization configuration, Klein…

介观与纳米尺度物理 · 物理学 2009-11-13 F. Zhai , K. Chang

We employ the tight-binding propagation method to study Klein tunneling and quantum interference in large graphene systems. With this efficient numerical scheme, we model the propagation of a wave packet through a potential barrier and…

介观与纳米尺度物理 · 物理学 2015-01-27 R. Logemann , K. J. A. Reijnders , T. Tudorovskiy , M. I. Katsnelson , Shengjun Yuan

Whereas massless Dirac fermions in monolayer graphene exhibit Klein tunneling when passing through a potential barrier upon normal incidence, such a barrier totally reflects massive Dirac fermions in bilayer graphene due to difference in…

介观与纳米尺度物理 · 物理学 2012-04-09 Neetu Agrawal , Sameer Grover , Sankalpa Ghosh , Manish Sharma

We study the transmission probability of Dirac fermions in graphene scattered by a triangular double barrier potential in the presence of an external magnetic field. Our system made of two triangular potential barrier regions separated by a…

介观与纳米尺度物理 · 物理学 2015-11-24 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli
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