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The general covariance of the Dirac equation is exploited in order to explore the curvature effects appearing in the electronic properties of graphene. Two physical situations are then considered: the weak curvature regime, with…

Mesoscale and Nanoscale Physics · Physics 2017-03-29 Pavel Castro-Villarreal , R. Ruiz-Sánchez

We present analytical expressions for the eigenstates and eigenvalues of electrons confined in a graphene monolayer in the presence of a disclination. The calculations are performed in the continuum limit approximation in the vicinity of…

Mesoscale and Nanoscale Physics · Physics 2017-11-03 Debabrata Sinha , Bertrand Berche

Intrinsic and extrinsic valley Hall effects are predicted to emerge in graphene systems with uniform or spatially-varying mass terms. Extrinsic mechanisms, mediated by the valley-dependent scattering of electrons at the Fermi surface, can…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Fionnuala Solomon , Stephen R. Power

We perform a detailed analysis of electronic polarizability of graphene with different theoretical approaches. From Kubo's linear response formalism, we give a general expression of frequency and wave-vector dependent polarizability within…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Tao Zhu , Mauro Antezza , Jian-Sheng Wang

Spatially varying strained graphene can acquire interesting electronic properties because of the strain-induced valley-dependent gauge (pseudomagnetic) fields1,2. Here we report the realization of strained graphene regions located close to…

Materials Science · Physics 2015-03-31 Jun-Fang Liu , Ke-Ke Bai , Jia-Bin Qiao , Yu Zhou , Jia-Cai Nie , Hailin Peng , Zhongfan Liu , Lin He

We study the band structures of hybrid graphene quantum dots subject to a magnetic flux and electrostatic potential. The system is consisting of a circular single layer graphene surrounded by an infinite bilayer graphene. By solving the…

Mesoscale and Nanoscale Physics · Physics 2022-01-19 Bouchaib Lemaalem , Youness Zahidi , Ahmed Jellal

The electromagnetic radiation of electrons in the corrugated graphene in the presence of the transport electric current in the ballistic regime is studied. Radiation of the similar nature can be observed in undulator and wiggler. We…

Mesoscale and Nanoscale Physics · Physics 2015-12-31 Sergey A. Ktitorov , Ruslan I. Mukhamadiarov

We present a single barrier system to generate pure valley-polarized current in monolayer graphene. A uniaxial strain is applied within the barrier region, which is delineated by localized magnetic field created by ferromagnetic stripes at…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 Can Yesilyurt , Seng Ghee Tan , Gengchiau Liang , Mansoor B. A. Jalil

We explore the rotational degree of freedom between graphene layers via the simple prototype of the graphene twist bilayer, i.e., two layers rotated by some angle $\theta$. It is shown that, due to the weak interaction between graphene…

Materials Science · Physics 2015-03-13 S. Shallcross , S. Sharma , E. Kandelaki , O. A. Pankratov

Optical second harmonic generation (SHG) is studied from multilayer graphene films in the presence of DC electric current flowing in the sample plane. Graphene layers are manufactured by chemical vapour deposition (CVD) technique and…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Anton Y. Bykov , Tatiana V. Murzina , Maxim G. Rybin , Elena D. Obraztsova

A remarkable manifestation of the quantum character of electrons in matter is offered by graphene, a single atomic layer of graphite. Unlike conventional solids where electrons are described with the Schrodinger equation, electronic…

Mesoscale and Nanoscale Physics · Physics 2008-09-16 Z. Q. Li , E. A. Henriksen , Z. Jiang , Z. Hao , M. C. Martin , P. Kim , H. L. Stormer , D. N. Basov

A study of strongly curved graphene magnetization and magnetic susceptibility is carried out. Through a Dirac model complemented with a tight-binding model analysis, we are able to show that mechanical deformations solve the long-standing…

Mesoscale and Nanoscale Physics · Physics 2024-07-18 Abdiel de Jesús Espinosa-Champo , Gerardo G. Naumis , Pavel Castro-Villarreal

In graphene, long-wavelength deformations that result in elastic shear strain couple to the low-energy Dirac electrons as pseudogauge fields. Using a scalable tight-binding model, we consider analogs to magnetotransport in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Alina Mreńca-Kolasińska , Christophe De Beule , Jia-Tong Shi , Aitor Garcia-Ruiz , Denis Kochan , Klaus Richter , Ming-Hao Liu

We propose an all-electrical setup to generate valley polarization in graphene. A finite graphene sheet is connected to two normal metal electrodes each with two terminals along its zigzag edges, while the armchair edges remain free. When a…

Mesoscale and Nanoscale Physics · Physics 2025-06-30 Sachchidanand Das , Abhiram Soori

Due to its strong bonds graphene can stretch up to 25% of its original size without breaking. Furthermore, mechanical deformations lead to the generation of pseudo-magnetic fields (PMF) that can exceed 300 T. The generated PMF has opposite…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Slavisa P. Milovanovic , Francois M. Peeters

Smoothly varying lattice strain in graphene affects the Dirac carriers through a synthetic gauge field. When the lattice strain is time dependent, as in connection with phononic excitations, the gauge field becomes time dependent and the…

Mesoscale and Nanoscale Physics · Physics 2010-11-19 F. von Oppen , F. Guinea , E. Mariani

We calculate the energy spectrum and eigenstates of a graphene sheet which contains a circular deformation. Using time-independent perturbation theory with the ratio of the height and width of the deformation as the small parameter, we find…

Mesoscale and Nanoscale Physics · Physics 2012-02-28 G. M. M. Wakker , Rakesh P. Tiwari , M. Blaauboer

The electronic structure of graphene on Cu(111) and Cu(100) single crystals is investigated using low energy electron microscopy, low energy electron diffraction and angle resolved photoemission spectroscopy. On both substrates the graphene…

Graphene-like materials can be effectively described by Quantum Electrodynamics in (2+1)-dimensions. In a pristine state, these systems exhibit a symmetry between the nonequivalent Dirac points in the honeycomb lattice. Realistic samples…

High Energy Physics - Phenomenology · Physics 2016-01-08 Ana Julia Mizher , Alfredo Raya , Cristian Villavicencio

We investigate a valleytronic device based on graphene with charge separation at different sublattices and correspondingly at nonequivalent valleys. We characterize the maximality condition of valley polarization and investigate the…

Mesoscale and Nanoscale Physics · Physics 2021-01-08 Hamed Koochaki Kelardeh , Mohammadreza Eidi , Takashi Oka , Jan Michael Rost