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Related papers: Evidence Against Klein Paradox in Graphene

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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…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Katsnelson , K. S. Novoselov , A. K. Geim

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

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

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…

We figure out the famous Klein's paradox arising from the reflection problem when a Dirac particle encounters a step potential with infinite width. The key is to piecewise solve Dirac equation in such a way that in the region where the…

Quantum Physics · Physics 2021-01-06 Huai-Yu Wang

We analyse a little known aspect of the Klein paradox. A Klein-Gordon boson appears to be able to cross a supercritical rectangular barrier without being reflected, while spending there a negative amount of time. The transmission mechanism…

Quantum Physics · Physics 2021-07-21 X. Gutiérrez de la Cal , M. Alkhateeb , M. Pons , A. Matzkin , D. Sokolovski

It is supposed the existence of a curved graphene sheet with the geometry of a Bour surface $B_{n}$, such as the catenoid (or helicoid), $B_{0}$, and the classical Enneper surface, $B_{2}$, among others. In particular, in this work, the…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Víctor A. González-Domínguez , Juan A Reyes-Nava , Pavel Castro-Villarreal

Solutions of the one dimensional Dirac equation with piece-wise constant potentials are presented using standard methods. These solutions show that the Klein Paradox is non-existent and represents a failure to correctly match solutions…

Quantum Physics · Physics 2008-07-24 S. P. Bowen

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

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…

Mesoscale and Nanoscale Physics · Physics 2009-01-18 N. Stander , B. Huard , D. Goldhaber-Gordon

We present a theory of quantum-coherent transport through a lateral p-n-p structure in graphene, which fully accounts for the interference of forward and backward scattering on the p-n interfaces. The backreflection amplitude changes sign…

Mesoscale and Nanoscale Physics · Physics 2008-10-10 A. V. Shytov , M. S. Rudner , L. S. Levitov

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

We investigated the Dirac electrons transmission through a potential barrier in the presence of circularly polarized light. An anomalous photon-assisted enhanced transmission is predicted and explained in a comparison with the well-known…

Materials Science · Physics 2015-05-30 Andrii Iurov , Godfrey Gumbs , Oleksiy Roslyak , Danhong Huang

In this paper, we have studied the Klein's paradox in the presence of both scalar and vector potential barriers. From the corresponding Dirac equation we have calculated the transmission and reflection coefficients. It is shown that the…

High Energy Physics - Theory · Physics 2020-02-26 Basma Ainouz , Salah Haouat

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 theoretically investigate Klein tunneling processes in photonic artificial graphene. Klein tunneling is a phenomenon in which a particle with Dirac dispersion going through a potential step shows a characteristic angle- and…

Optics · Physics 2017-07-21 Tomoki Ozawa , Alberto Amo , Jacqueline Bloch , Iacopo Carusotto

After having derived boundary conditions for dressed-state electrons in a dice lattice, we investigate the electron tunneling through a square electrostatic potential barrier in both dice lattices and graphene under a linearly-polarized…

Mesoscale and Nanoscale Physics · Physics 2020-06-16 Andrii Iurov , Liubov Zhemchuzhna , Paula Fekete , Godfrey Gumbs , Danhong Huang

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

In light of the significance of non-commutative quaternionic algebra in modern physics, the current study proposes the existence of the Klein paradox in the quaternionic (3+1)-dimensional space-time structure. By introducing the…

General Physics · Physics 2024-10-08 Geetanjali Pathak , B. C. Chanyal
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