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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

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

When a single-layer graphene sheet is contacted with metallic electrodes, tunnel barriers are formed as a result of the doping of graphene by the metal in the contact region. If the Fermi energy level is modulated by a gate voltage, the…

Mesoscale and Nanoscale Physics · Physics 2021-10-11 Gheorghe Sorin Paraoanu

We have realized a Dirac fermion reflector in graphene by controlling the ballistic carrier trajectory in a sawtooth-shaped npn junction. When the carrier density in the inner p-region is much larger than that in the outer n-regions, the…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Sei Morikawa , Quentin Wilmart , Satoru Masubuchi , Kenji Watanabe , Takashi Taniguchi , Bernard Plaçais , Tomoki Machida

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

One of the unique features of graphene is that the Fermi wavelength of its charge carriers can be tuned electrostatically over a wide range. This allows in principle to tune the transparency of a pn-junction electrostatically, as this…

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…

Dirac-electronic tunneling and nonlinear transport properties with both finite and zero energy bandgap are investigated for graphene with a tilted potential barrier under a bias. For validation, results from a finite-difference based…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma

We articulate the challenges and opportunities of unconventional devices using the photon like flow of electrons in graphene, such as Graphene Klein Tunnel (GKT) transistors. The underlying physics is the employment of momentum rather than…

Mesoscale and Nanoscale Physics · Physics 2019-03-01 Mirza M. Elahi , K. M. Masum Habib , Ke Wang , Gil-Ho Lee , Philip Kim , Avik W. Ghosh

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

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 linear energy-momentum dispersion, coupled with pseudo-spinors, makes graphene an ideal solid-state material platform to realize an electronic device based on Dirac-Fermionic relativistic quantum mechanics. Employing local gate control,…

Mesoscale and Nanoscale Physics · Physics 2019-03-21 Ke Wang , Mirza M. Elahi , K. M. Masum Habib , Takashi Taniguchi , Kenji Watanabe , Avik W. Ghosh , Gil-Ho Lee , Philip Kim

Tunneling field-effect transistors (FETs) have been intensely explored recently due to its potential to address power concerns in nanoelectronics. The recently discovered graphene nanoribbon (GNR) is ideal for tunneling FETs due to its…

Materials Science · Physics 2009-09-30 Pei Zhao , Jyotsna Chauhan , Jing Guo

The phase space for graphene's minimum conductivity $\sigma_\mathrm{min}$ is mapped out using Landauer theory modified for scattering using Fermi's Golden Rule, as well as the Non-Equilibrium Green's Function (NEGF) simulation with a Monte…

Mesoscale and Nanoscale Physics · Physics 2015-11-11 Redwan N. Sajjad , Frank Tseng , K. M. Masum Habib , Avik W. Ghosh

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

The chemical stability of graphene and other free-standing two-dimensional crystals means that they can be stacked in different combinations to produce a new class of functional materials, designed for specific device applications. Here we…

Mesoscale and Nanoscale Physics · Physics 2013-05-03 L. Britnell , R. V. Gorbachev , A. K. Geim , L. A. Ponomarenko , A. Mishchenko , M. T. Greenaway , T. M. Fromhold , K. S. Novoselov , L. Eaves

Transport measurement of electron optics in monolayer graphene p-n junction devices has been traditionally studied with negative refraction and chiral transmission experiments in Hallbar magnetic focusing set-ups. We show direct signatures…

Mesoscale and Nanoscale Physics · Physics 2022-10-20 Mirza M. Elahi , Yihang Zeng , Cory R. Dean , Avik W. Ghosh

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

Based on the transmission coefficient of tunneling electrons, we have presented tunneling current and conductivity across a square-potential barrier for both graphene and $\alpha$-$\mathcal{T}_3$ lattices under a linearly-polarized…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 Andrii Iurov , Liubov Zhemchuzhna , Godfrey Gumbs , Danhong Huang , Paula Fekete

Hexagonal boron-nitride (h-BN) provides an ideal substrate for supporting graphene devices to achieve fascinating transport properties, such as Klein tunneling, electron optics and other novel quantum transport phenomena. However,…

Mesoscale and Nanoscale Physics · Physics 2024-02-13 Viet-Anh Tran , Viet-Hung Nguyen , Jean-Christophe Charlier
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