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We characterize the carrier density profile of the ground state of graphene in the presence of particle-particle interaction and random charged impurity for zero gate voltage. We provide detailed analysis on the resulting spatially…

Mesoscale and Nanoscale Physics · Physics 2017-03-15 M. N. Najafi , M. Ghasemi Nezhadhaghighi

We present a rigorous microscopic theory of the extrinsic spin Hall effect in disordered graphene based on a nonperturbative quantum diagrammatic treatment incorporating skew scattering and anomalous---impurity…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 Mirco Milletari , Aires Ferreira

Any departure from graphene's flatness leads to the emergence of artificial gauge fields that act on the motion of the Dirac fermions through an associated pseudomagnetic field. Here, we demonstrate the tunability of strong gauge fields in…

We study graphene with an adsorbed spin texture, where the localized spins create a periodic magnetic flux. The latter produces gaps in the graphene spectrum and breaks the valley symmetry. The resulting effective electronic model, which is…

Materials Science · Physics 2011-03-31 Antonio Hill , Andreas Sinner , Klaus Ziegler

Quantum Hall effect in 1,2-layer graphene is analyzed. The transverse and longitudinal resistivity are found to be universal functions of the filling factor and temperature. At fixed magnetic field mode the magneto-transport problem is…

Mesoscale and Nanoscale Physics · Physics 2024-06-07 M. V. Cheremisin

The development of a spintronics device relies on efficient generation of spin polarized currents and their electric field controlled manipulation. While observation of exceptionally long spin relaxation lengths make graphene an intriguing…

The magnetic proximity effect can induce a spin dependent exchange shift in the band structure of graphene. This produces a magnetization and a spin polarization of the electron/hole carriers in this material, paving the way for its use as…

Mesoscale and Nanoscale Physics · Physics 2023-12-13 Boxuan Yang , Bibek Bhujel , Daniel G. Chica , Evan J. Telford , Xavier Roy , Maxen Cosset-Chéneau , Bart J. van Wees

We extend the electrodynamics of two dimensional electron gases to account for the extrinsic spin Hall effect (SHE). The theory is applied to doped graphene decorated with a random distribution of absorbates that induce spin-orbit coupling…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Chunli Huang , Yidong Chong , Giovanni Vignale , Miguel A. Cazalilla

Due to its fourfold spin-valley degeneracy, graphene in a strong magnetic field may be viewed as a four-component quantum Hall system. We investigate the consequences of this particular structure on a possible, yet unobserved, fractional…

Mesoscale and Nanoscale Physics · Physics 2009-06-08 Z. Papić , M. O. Goerbig , N. Regnault

Motivated by the recent experimental observation [D. A. Abanin et al., Science 323, 328 (2011)] of nonlocality in magnetotransport near the Dirac point in six-terminal graphene Hall bars, for a wide range of temperatures and magnetic…

Mesoscale and Nanoscale Physics · Physics 2012-04-19 Chien-Liang Chen , Ching-Ray Chang , Branislav K. Nikolic

The unusual electronic properties of single-layer graphene make it a promising material system for fundamental advances in physics, and an attractive platform for new device technologies. Graphene's spin transport properties are expected to…

Mesoscale and Nanoscale Physics · Physics 2009-10-23 Mark B. Lundeberg , Joshua A. Folk

In graphene superlattices, bulk topological currents can lead to long-range charge-neutral flow and non-local resistance near Dirac points. A ballistic version of these phenomena has never been explored. Here, we report transport properties…

Mesoscale and Nanoscale Physics · Physics 2018-05-31 K. Komatsu , Y. Morita , E. Watanabe , D. Tsuya , K. Watanabe , T. Taniguchi , S. Moriyama

We explore the non-equilibrium transport regime in graphene using a large dc current in combination with a perpendicular magnetic field. The strong in-plane Hall field that is generated in the bulk of the graphene channel results in Landau…

Mesoscale and Nanoscale Physics · Physics 2025-03-11 Mrityunjay Pandey , Kenji Watanabe , Takashi Taniguchi , Srinivasan Raghavan , U. Chandni

Using a nearest-neighbor tight-binding model we investigate quantum effects of plasmons on few-nanometer wide graphene nanoribbons, both for zigzag and armchair edge terminations. With insight from the Dirac description we find an emerging…

Mesoscale and Nanoscale Physics · Physics 2018-10-16 Kåre Obel Wedel , N. Asger Mortensen , Kristian S. Thygesen , Martijn Wubs

Monolayer staggered materials of the graphene family present intrinsic spin-orbit coupling and can be driven through several topological phase transitions using external circularly polarized lasers, and static electric or magnetic fields.…

Materials Science · Physics 2018-04-25 P. Ledwith , W. J. M. Kort-Kamp , D. A. R. Dalvit

Over the past three decades, graphene has become the prototypical platform for discovering unique phases of topological matter. Both the Chern insulator $C\in\mathbb{Z}$ and the quantum spin Hall insulator $\nu\in\mathbb{Z}_2$ were first…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Todd Van Mechelen , Zubin Jacob

Since the advent of graphene, a variety of studies have been performed to elucidate its fundamental physics, or to explore its practical applications. Gate-tunable resistance is one of the most important properties of graphene and has been…

Mesoscale and Nanoscale Physics · Physics 2018-09-28 Taiki Hirahara , Ryoya Ebisuoka , Takushi Oka , Tomoaki Nakasuga , Shingo Tajima , Kenji Watanabe , Takashi Taniguchi , Ryuta Yagi

At high magnetic fields the conductance of graphene is governed by the half-integer quantum Hall effect. By local electrostatic gating a \textit{p-n} junction perpendicular to the graphene edges can be formed, along which quantum Hall…

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

We discuss the novel electronic properties of graphene under an external periodic scalar or vector potential, and the analytical and numerical methods used to investigate them. When graphene is subjected to a one-dimensional periodic scalar…

Materials Science · Physics 2011-02-21 Cheol-Hwan Park , Liang Zheng Tan , Steven G. Louie