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Related papers: Chiral tunneling and the Klein paradox in graphene

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The perfect transmission in graphene monolayer and the perfect reflection in Bernal graphene bilayer for electrons incident in the normal direction of a potential barrier are viewed as two incarnations of the Klein paradox. Here we show a…

Mesoscale and Nanoscale Physics · Physics 2013-08-13 Wen-Yu He , Zhao-Dong Chu , Lin He

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…

Mesoscale and Nanoscale Physics · Physics 2011-11-03 P. E. Allain , J. N. Fuchs

The Klein paradox consists in the perfect tunneling of relativistic particles through high potential barriers. As a curious feature of particle physics, it is responsible for the exceptional conductive properties of graphene. It was…

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.,…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Ke-Ke Bai , Jia-Bin Qiao , Hua Jiang , Haiwen Liu , Lin He

Charge carriers in single and multilayered graphene systems behave as chiral particles due to the particular lattice symmetry of the crystal. We show that the interplay between the meta-material properties of graphene multilayers and the…

Mesoscale and Nanoscale Physics · Physics 2013-05-07 B. Van Duppen , F. M. Peeters

It is demonstrated that both transmission and reflection coefficients associated to the Klein paradox at a step barrier are positive and less than unity, so that the particle-antiparticle pair creation mechanism commonly linked to this…

Quantum Physics · Physics 2008-02-23 Daniela Dragoman

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…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

It is well known that, Klein paradox is one of the most exotic and counterintuitive consequences of quantum theory. Nevertheless, many discussions about the Klein paradox are based upon single-particle Dirac equation in quantum mechanics…

High Energy Physics - Phenomenology · Physics 2015-04-06 C. Xu , Y. J. Li

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…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. B. Sonin

Klein tunneling is a counterintuitive quantum-mechanical phenomenon, predicting perfect transmission of relativistic particles through higher energy barriers. This phenomenon was shown to be supported at normal incidence in graphene due to…

Mesoscale and Nanoscale Physics · Physics 2022-06-10 Lea Sirota

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…

Mesoscale and Nanoscale Physics · Physics 2021-10-01 Abderrahim El Mouhafid , Ahmed Jellal , Miloud Mekkaoui

The problem of the Klein tunneling across a potential barrier in bi-layer graphene is addressed. The electron wave functions are treated as massive chiral particles. This treatment allows us to compute the statistical complexity and…

Mesoscale and Nanoscale Physics · Physics 2014-08-25 Jaime Sañudo , Ricardo Lopez-Ruiz

Statistical complexity and Fisher-Shannon information are calculated in a problem of quantum scattering, namely the Klein tunneling across a potential barrier in graphene. The treatment of electron wave functions as masless Dirac fermions…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Jaime Sanudo , Ricardo Lopez-Ruiz

The Klein paradox, first introduced in relation to chiral tunneling, is also manifested in the study of bound-states in single-layer graphene with a 1D square-well potential. We derive analytic (and numerical) solutions for bound-state…

Mesoscale and Nanoscale Physics · Physics 2020-09-09 Y. Avishai , Y. B. Band

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…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 R. Logemann , K. J. A. Reijnders , T. Tudorovskiy , M. I. Katsnelson , Shengjun Yuan

Klein's paradox refers to the transmission of a relativistic particle through a high potential barrier. Although it has a simple resolution in terms of particle-to-antiparticle tunneling (Klein tunneling), debates on its physical meaning…

Mesoscale and Nanoscale Physics · Physics 2024-03-19 Keiji Nakatsugawa , Xiao Hu

An armchair graphene ribbon switch has been designed based on the principle of the Klein paradox. The resulting switch displays an excellent on-off ratio performance. Anomalous tunneling phenomena are observed in our numerical simulations.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Q. W. Shi , Z. F. Wang , Jie Chen , H. X. Zheng , Qunxiang Li , Xiaoping Wang , Jinlong Yang , J. G. Hou

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…

The coupling of charge carrier motion and pseudospin via chirality for massless Dirac fermions in monolayer graphene has generated dramatic consequences, such as the unusual quantum Hall effect and Klein tunneling. In bilayer graphene,…

Mesoscale and Nanoscale Physics · Physics 2016-11-17 Kyunghoon Lee , Seunghyun Lee , Yun Suk Eo , Cagliyan Kurdak , Zhaohui Zhong

Graphene is the first example of truly two-dimensional crystals - it's just one layer of carbon atoms. It turns out to be a gapless semiconductor with unique electronic properties resulting from the fact that charge carriers in graphene…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 M. I. Katsnelson , K. S. Novoselov
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