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Graphene, with its quantum Hall topological (Chern) number reflecting the massless Dirac particle, is shown to harbor yet another topological quantum number. This is obtained by combining Streda's general formula for the polarization…

Mesoscale and Nanoscale Physics · Physics 2015-03-30 Hideo Aoki , Yasuhiro Hatsugai

Realizations of some topological phases in two-dimensional systems rely on the challenge of jointly incorporating spin-orbit and magnetic exchange interactions. Here, we predict the formation and control of a fully valley-polarized quantum…

Mesoscale and Nanoscale Physics · Physics 2021-10-25 Marc Vila , Jose H. Garcia , Stephan Roche

Introducing quantum confinement has uncovered a rich set of interesting quantum phenomena and allows one to directly probe the physics of confined (quasi-)particles. In most experiments, however, electrostatic potential is the only…

Mesoscale and Nanoscale Physics · Physics 2024-03-08 Ya-Ning Ren , Yu-Chen Zhuang , Qing-Feng Sun , Lin He

We study charge fractionalization in bilayer graphene which is intimately related to its zero modes. In the unbiased case, the valley zero modes occur in pairs rendering it unsuitable for charge fractionalization. A bias plays the role of a…

Mesoscale and Nanoscale Physics · Physics 2010-07-09 J. C. Martinez , M. B. A. Jalil , S. G. Tan

Valley polarization in graphene breaks inversion symmetry and therefore leads to second-harmonic generation. We present a complete theory of this effect within a single-particle approximation. It is shown that this may be a sensitive tool…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 T. O. Wehling , A. Huber , A. I. Lichtenstein , M. I. Katsnelson

The quantum Hall effect in graphene is regarded to be involving half-integer topological numbers associated with the massless Dirac particle, this is usually not apparent due to the doubling of the Dirac cones. Here we theoretically…

Mesoscale and Nanoscale Physics · Physics 2012-04-30 H Watanabe , Y Hatsugai , H Aoki

The pseudo-magnetic field generated by mechanical strain in graphene can have dramatic consequences on the behavior of electrons and holes. Here we show that pseudo-magnetic field fluctuations present in crumpled graphene can induce…

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

It is quite easy to control spin polarization and spin direction of a system via magnetic fields. However, there is no such a direct and efficient way to manipulate valley pseudospin degree of freedom. Here, we demonstrate experimentally…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Si-Yu Li , Ying Su , Ya-Ning Ren , Lin He

The valley degeneracy of electron states in graphene stimulates intensive research of valley-related optical and transport phenomena. While many proposals on how to manipulate valley states have been put forward, experimental access to the…

Mesoscale and Nanoscale Physics · Physics 2014-11-17 L. E. Golub , S. A. Tarasenko

Quantum transport calculations describing electron scattering off an extended line defect in graphene are presented. The calculations include potentials from local magnetic moments recently predicted to exist on sites adjacent to the line…

Mesoscale and Nanoscale Physics · Physics 2012-05-18 Daniel Gunlycke , Carter T. White

We consider electron transport in a planar fermion model containing various types of line defects modelled by $\delta$--function pseudopotentials with different matrix coefficients. The transmission probability for electron transport…

Mesoscale and Nanoscale Physics · Physics 2014-02-14 D. Ebert , V. Ch. Zhukovsky , E. A. Stepanov

Electrons in graphene have fourfold spin and valley degeneracies owing to the unique bipartite honeycomb lattice and an extremely weak spin-orbit coupling, which can support a series of broken symmetry states. Atomic-scale defects in…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Yu Zhang , Liangguang Jia , Yaoyao Chen , Lin He , Yeliang Wang

Electron fractionalization is intimately related to topology. In one-dimensional systems, fractionally charged states exist at domain walls between degenerate vacua. In two-dimensional systems, fractionalization exists in quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Chang-Yu Hou , Claudio Chamon , Christopher Mudry

In this Letter, both the manipulation of valley-polarized currents and the optical-like behaviors of Dirac fermions are theoretically explored in polycrystalline graphene. When strain is applied, the misorientation between two graphene…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Viet Hung Nguyen , Samuel Dechamps , Philippe Dollfus , Jean-Christophe Charlier

Achieving a population imbalance between the two inequivalent valleys is a critical first step for any valleytronic device. A valley-polarization can be induced in biased bilayer graphene using circularly polarized light. In this paper, we…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 Alex Friedlan , Marc M. Dignam

Valley filters are crucial to any device exploiting the valley degree of freedom. By using an atomistic model, we analyze the mechanism leading to the valley filtering produced by a line-defect in graphene and show how it can be inverted by…

Mesoscale and Nanoscale Physics · Physics 2016-10-11 Lucas H. Ingaramo , Luis E. F. Foa Torres

Modifying the hexagonal lattices of graphene enables the repositioning and merging of the Dirac cones which proves to be a key element in the use of these materials for alternative electronic applications such as valleytronics. Here we…

Mesoscale and Nanoscale Physics · Physics 2022-08-31 Saber Rostamzadeh , Mustafa Sarisaman

A spatially modulated Dirac gap in a graphene sheet leads to charge confinement, thus enabling a graphene quantum dot to be formed without the application of external electric and magnetic fields [Appl. Phys. Lett. \textbf{97}, 243106…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 G. Giavaras , Franco Nori

The electron transport of different conical valleys is investigated in graphene with extended line-defects. Intriguingly, the electron with a definite incident angle can be completely modulated into one conical valley by a resonator which…

Mesoscale and Nanoscale Physics · Physics 2013-12-02 Yang Liu , Juntao Song , Yuxian Li , Ying Liu , Qing-feng Sun
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