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We explore the gapped graphene structure in the two-dimensional plane in the presence of the Rosen-Morse potential and an external uniform magnetic field. In order to describe the corresponding structure, we consider the propagation of…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 A. Kalani , Alireza Amani , M. A. Ramzanpour

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

We show how the two-dimensional Dirac oscillator model can describe some properties of electrons in graphene. This model explains the origin of the left-handed chirality observed for charge carriers in monolayer and bilayer graphene. The…

Mesoscale and Nanoscale Physics · Physics 2013-11-21 C. Quimbay , P. Strange

We address the problem of Dirac fermions graphene quantum well and we focus on the low energy approximation for the Hamiltonian of the system where the former can be described by a Dirac-like Hamiltonian. Interesting relations are obtained…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 A. Mhamdi , E. Ben Salem , S. Jaziri

The paper discusses the chiral tunnelling of charge carriers through double barrier structure in twisted graphene bilayer. The theoretical analysis investigates the transmission probability for various system parameters under both symmetric…

Mesoscale and Nanoscale Physics · Physics 2023-07-31 A. Bahlaoui , Y. Zahidi

Dirac particles can undergo perfect transmission through a sufficiently high potential barrier in the Klein zone. Although the perfect Klein tunneling (often referred to as the Klein paradox) is similar to the non-relativistic resonant…

Quantum Physics · Physics 2026-03-16 Xu Zhang , Qiang Gu

We study electron transport in a strained graphene sheet subjected to a sequence of $N$ electrostatic and magnetic barriers. Employing a modified and improved transfer-matrix framework, we examine how the transmission and reflection…

By solving two-component spinor equation for massless Dirac Fermions, we show that graphene under a periodic external magnetic field exhibits a unique energy spectrum: At low energies, Dirac Fermions are localized inside the magnetic region…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 Shuanglong Liu , Argo Nurbawono , Na Guo , Chun Zhang

Photon-assisted charge transport through a double barrier laser structure, separated by a region assisted by a magnetic field, is studied. Employing Floquet theory and matrix formalism, the transmission probabilities for the central band…

Mesoscale and Nanoscale Physics · Physics 2024-10-18 Rachid El Aitouni , Miloud Mekkaoui , Abdelhadi Bahaoui , Ahmed Jellal

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…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Y. Avishai , Y. B. Band

We investigate the effect of strain along armchair and zigzag directions on electrical transport in graphene through a magnetic barrier and a linearly polarized electromagnetic wave. In the context of Floquet theory, the eigenvalues and…

Mesoscale and Nanoscale Physics · Physics 2023-02-01 Hasna Chnafa , Miloud Mekkaoui , Ahmed Jellal , Abdelhadi Bahaoui

We review the transmission of Dirac electrons through a potential barrier in the presence of circularly polarized light. A different type of transmission is demonstrated and explained. Perfect transmission for nearly head-on collision in…

Mesoscale and Nanoscale Physics · Physics 2014-08-28 Godfrey Gumbs , Danhong Huang , Andrii Iurov , Bo Gao

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 develop a microscopic theory of the weak localization of two-dimensional massless Dirac fermions which is valid in the whole range of classically weak magnetic fields. The theory is applied to calculate magnetoresistance caused by the…

Mesoscale and Nanoscale Physics · Physics 2011-10-03 M. O. Nestoklon , N. S. Averkiev , S. A. Tarasenko

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

We study the Goos-H\"anchen (GH) shifts for transmitted Dirac fermions in gapped graphene through a single barrier structure having a time periodic oscillating component. Our analysis shows that the GH shifts in transmission for central…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 Bouchaib Lemaalem , Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

We consider a system of Dirac fermions in graphene submitted to a constant perpendicular magnetic field and scattered by a barrier potential. We show that our system can be used to establish a link with quantum optics through the…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 Ahmed Jellal , Miloud Mekkaoui , Youness Zahidi

A transfer matrix method is presented for solving the scattering problem for the quasi one-dimensional massless Dirac equation applied to graphene in the presence of an arbitrary inhomogeneous electric and perpendicular magnetic field. It…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 Sameer Grover , Sankalpa Ghosh , Manish Sharma

On the basis of self-consistent Born approximation, we solve the Bethe-Salpeter matrix equations for Cooperon propagator of the Dirac fermions in graphene under the charged impurity scatterings and a weak external magnetic field. In the…

Strongly Correlated Electrons · Physics 2009-10-23 Xin-Zhong Yan , C. S. Ting

We show that the low-energy electronic structure of graphene under a one-dimensional inhomogeneous magnetic field can be mapped into that of graphene under an electric field or vice versa. As a direct application of this transformation, we…

Mesoscale and Nanoscale Physics · Physics 2010-05-31 Liang Zheng Tan , Cheol-Hwan Park , Steven G. Louie
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