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The effect of an Aharonov-Bohm (AB) pseudo magnetic field on a two dimensional electron gas in graphene is investigated. We consider it modeled as in the usual AB effect but since such pseudo field is supposed to be induced by elastic…

Mesoscale and Nanoscale Physics · Physics 2016-11-01 Cleverson Filgueiras , Rosinildo Fidelis , Diego Cogollo , Edilberto O. Silva

We investigate the low energy continuum limit theory for electrons in a graphene sheet under strain. We use the quantum field theory in curved spaces to analyze the effect of the system deformations into an effective gauge field. We study…

Mesoscale and Nanoscale Physics · Physics 2015-12-15 Enrique Arias , Alexis R. Hernández , Caio Lewenkopf

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

The remarkable properties of graphene are inherent to its 2D honeycomb lattice structure. Its low dimensionality, which makes it possible to rearrange the atoms by applying an external force, offers the intriguing prospect of mechanically…

Mesoscale and Nanoscale Physics · Physics 2017-05-09 Yuhang Jiang , Jinhai Mao , Junxi Duan , Xinyuan Lai , Kenji Watanabe , Takashi Taniguchi , Eva Y. Andrei

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

In inhomogeneously strained graphene, low-energy electrons experience a valley-antisymmetric pseudo-magnetic field which leads to the formation of localized states at the edge between the valence and conduction bands, understood in terms of…

Mesoscale and Nanoscale Physics · Physics 2013-10-22 Diana A. Gradinar , Marcin Mucha-Kruczyński , Henning Schomerus , Vladimir I. Fal'ko

We demonstrate that the electronic spectrum of graphene in a one-dimensional periodic potential will develop a Landau level spectrum when the potential magnitude varies slowly in space. The effect is related to extra Dirac points generated…

Mesoscale and Nanoscale Physics · Physics 2011-02-28 Jianmin Sun , H. A. Fertig , L. Brey

Combining the tight-binding approximation and linear elasticity theory for a planar membrane, we investigate stretching of a graphene flake assuming that two opposite edges of the sample are clamped by the contacts. We show that, depending…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 M. Mucha-Kruczynski , V. I. Fal'ko

Many intriguing phenomena occur for electrons under strong magnetic fields. Recently, it was proposed that an appropriate strain texture in graphene can induce a synthetic gauge field, in which the electrons behave like in a real magnetic…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Xinhua Wen , Chunyin Qiu , Yajuan Qi , Liping Ye , Manzhu Ke , Fan Zhang , Zhengyou Liu

We investigate the electronic properties of corrugated graphene and show how rippling-induced pseudomagnetic fields alter graphene's low-energy electronic properties by combining first principles calculations with an effective field theory.…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 T. O. Wehling , A. V. Balatsky , A. M. Tsvelik , M. I. Katsnelson , A. I. Lichtenstein

Many of the properties of graphene are tied to its lattice structure, allowing for tuning of charge carrier dynamics through mechanical strain. The graphene electro-mechanical coupling yields very large pseudomagnetic fields for small…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 Shuze Zhu , Joseph A. Stroscio , Teng Li

The structural and electronic properties of graphene leads its charge carriers to behave like relativistic particles, which is described by a Dirac-like Hamiltonian. Since graphene is a monolayer of carbon atoms, the strain due to elastic…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Zhigang Wang , Zhen-Guo Fu , Fawei Zheng , Ping Zhang

A two-dimensional periodic array of scatterers has been introduced to a single layer of graphene in the presence of an external magnetic field perpendicular to the graphene layer. The eigenvalue equation for such a system has been solved…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Godfrey Gumbs , Andrii Iurov , Danhong Huang , Paula Fekete , Liubov Zhemchuzhna

We show that the low-energy electronic structure of graphene under a one-dimensional inhomogeneous magnetic field can be mapped into that of graphene under an electric field or vice versa. As a direct application of this transformation, we…

Mesoscale and Nanoscale Physics · Physics 2010-05-31 Liang Zheng Tan , Cheol-Hwan Park , Steven G. Louie

We show that the physics of deformation in $\alpha$-, $\beta$-, and $6,6,12$-graphyne is, despite their significantly more complex lattice structures, remarkably close to that of graphene, with inhomogeneously strained graphyne described at…

Materials Science · Physics 2019-08-28 R. Gupta , S. Maisel , F. Rost , D. Weckbecker , M. Fleischmann , H. Soni , S. Sharma , A. Görling , S. Shallcross

Strain-engineered graphene has garnered much attention recently owing to the possibilities of creating substantial energy gaps enabled by pseudo-magnetic fields. While theoretical works proposed the possibility of creating large-area…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 M. Luo , H. Sun , Z. Qi , K. Lu , M. Chen , D. Kang , Y. Kim , D. Burt , X. Yu , C. Wang , Y. D. Kim , H. Wang , Q. -J. Wang , D. Nam

We revisit the theory of the pseudo magnetic field as induced by strain in graphene using the tight-binding approach. A systematic expansion of the hopping parameter and the deformation of the lattice vectors is presented from which we…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 M. Ramezani Masir , D. Moldovan , F. M. Peeters

In strained graphene, lattice deformation can create pseudo-magnetic fields and result in zero-field Landau level-like quantization. In the presence of an external magnetic field, valley-polarized Landau levels are predicted to be observed…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 Si-Yu Li , Ke-Ke Bai , Long-Jing Yin , Jia-Bin Qiao , Wen-Xiao Wang , Lin He

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

Pseudospin, an additional degree of freedom inherent in graphene, plays a key role in understanding many fundamental phenomena such as the anomalous quantum Hall effect, electron chirality and Klein paradox. Unlike the electron spin, the…