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Two dimensional electronic systems under strong magnetic field form quantum Hall (QH) edge states, which propagate along the boundary of a sample with a dissipationless current. Engineering the pathway of these propagating one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Ke Wang , Achim Harzheim , Ji Ung Lee , Takashi Taniguchi , Kenji Watanabe , Philip Kim

We investigate the electronic transport properties of unbiased and biased bilayer graphene nanoribbon in n-p and n-n junctions subject to a perpendicular magnetic field. Using the non-equilibrium Green's function method and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 H. Hatami , N. Abedpour , A. Qaiumzadeh , Reza Asgari

We investigate the conductance of normal-conductor/graphene/normal-conductor (NGN) junctions for arbitrary on-site potentials in the normal and graphitic parts of the system. We find that a ballistic NGN junction can display insulating…

Mesoscale and Nanoscale Physics · Physics 2007-10-11 John P Robinson , Henning Schomerus

In this review, we provide an in-depth description of the physics of monolayer and bilayer graphene from a theorist's perspective. We discuss the physical properties of graphene in an external magnetic field, reflecting the chiral nature of…

Materials Science · Physics 2014-11-20 D. S. L. Abergel , V. Apalkov , J. Berashevich , K. Ziegler , Tapash Chakraborty

Strain qualitatively changes the low-energy band structure of bilayer graphene, leading to the appearance of a pair of low-energy Dirac cones near each corner of the Brillouin zone, and a Lifshitz transition, (a saddle point in the…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 Diana A. Gradinar , Henning Schomerus , Vladimir I. Fal'ko

Electronic carriers in graphene show a high carrier mobility at room temperature. Thus, this system is widely viewed as a potential future charge-based high-speed electronic-material to complement- or replace- silicon. At the same time, the…

Mesoscale and Nanoscale Physics · Physics 2012-12-04 R. G. Mani , J. Hankinson , C. Berger , W. A. de Heer

We study the effect of a structural nanoconstriction on the coherent transport properties of otherwise ideal zig-zag-edged infinitely long graphene ribbons. The electronic structure is calculated with the standard one-orbital tight-binding…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Muñoz-Rojas , D. Jacob , J. Fernández-Rossier , J. J. Palacios

We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetry allowed spin orbit potential converts…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. L. Kane , E. J. Mele

We study ballistic electron transport through electrostatic barriers in AB-stacked bilayer graphene within a full four-band framework. A mode-resolved analysis reveals how propagating and evanescent channels couple across electrostatic…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Dan-Na Liu , Jun Zheng , Pierre A. Pantaleon

We present an elaborate and systematic study of the conductance properties of a zigzag bilayer graphene nanoribbon modeled by a Kane-Mele (KM) Hamiltonian. The interplay of the Rashba and the intrinsic spin-orbit couplings with the edge…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 Priyanka Sinha , Saurabh Basu

Graphene has evolved as a platform for quantum transport that can compete with the best and cleanest semiconductor systems. Recently, many interesting local properties of carrier transport in graphene have been investigated by various…

We studied the real space structure of states in twisted bilayer graphene at the `magic angle' $\theta = 1.08^\circ$. The flat bands close to charge neutrality are composed of a mix of `ring' and `center' orbitals around the AA stacking…

Strongly Correlated Electrons · Physics 2019-01-02 Louk Rademaker , Paula Mellado

We present a microscopic theory for interacting graphene armchair nanoribbon quantum dots. Long range interaction processes are responsible for Coulomb blockade and spin-charge separation. Short range ones, arising from the underlying…

Mesoscale and Nanoscale Physics · Physics 2010-03-23 Sonja Koller , Leonhard Mayrhofer , Milena Grifoni

The ground state of a graphene sheet at charge neutrality in a perpendicular magnetic field remains enigmatic, with various experiments supporting canted antiferromagnetic, bond ordered, and even charge density wave phases. A promising…

Mesoscale and Nanoscale Physics · Physics 2022-05-03 Arup Kumar Paul , Manas Ranjan Sahu , Kenji Watanabe , Takashi Taniguchi , J. K. Jain , Ganpathy Murthy , Anindya Das

The transport properties of a bilayer graphene are studied theoretically within a self-consistent Born approximation. The electronic spectrum is composed of $k$-linear dispersion in the low-energy region and $k$-square dispersion as in an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Mikito Koshino , Tsuneya Ando

The important experimental advances in graphene fabrication and its peculiar transport properties motivated researchers to utilize graphene as a potential basis for the next generation of fast and smart electronic devices. In this article,…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 Hasan M. Abdullah , H. Bahlouli

We theoretically show that an interlayer bias voltage in the AB-stacked bilayer graphene nanoribbons with armchair edges induces an electric polarization along the ribbon. Both tight-binding and ab initio calculations consistently indicate…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 Ryo Okugawa , Junya Tanaka , Takashi Koretsune , Susumu Saito , Shuichi Murakami

Motivated by a recent experiment (Sanchez-Yamagishi et.al, arXiv:1602.06815) reporting evidence of helical spin-polarized edge states in layer-biased twisted bilayer graphene under a magnetic flux, we study the possibility of stabilising a…

Mesoscale and Nanoscale Physics · Physics 2017-07-13 F. Finocchiaro , F. Guinea , P. San-Jose

We show that the chiral modes in circular graphene $pn$ junctions provide an advantage for spin manipulation via spin-orbit coupling compared to semiconductor platforms. We derive the effective Hamiltonian for the spin dynamics of the…

Mesoscale and Nanoscale Physics · Physics 2023-09-28 Dario Bercioux , Diego Frustaglia , Alessandro De Martino

Gapless spectrum of graphene allows easy spatial separation of electrons and holes with an external in-plane electric field. Guided collective plasmon modes can propagate along the separation line, whose amplitude decays with the distance…

Mesoscale and Nanoscale Physics · Physics 2012-05-23 N. M. Hassan , V. V. Mkhitaryan , E. G. Mishchenko