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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

We study the changes induced by the effective gauge field due to ripples on the low energy electronic structure of graphene. We show that zero energy Landau levels will form, associated to the smooth deformation of the graphene layer, when…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Guinea , M. I. Katsnelson , M. A. H. Vozmediano

We consider graphene in the presence of external magnetic field and elastic deformations that cause emergent magnetic field. The total magnetic field results in the appearance of Landau levels in the spectrum of quasiparticles. In addition,…

Mesoscale and Nanoscale Physics · Physics 2016-10-04 Z. V. Khaidukov , M. A. Zubkov

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

Electronic correlations stemming from nearly flat bands in van der Waals materials have demonstrated to be a powerful playground to engineer artificial quantum matter, including superconductors, correlated insulators and topological matter.…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 Antonio L. R. Manesco , Jose L. Lado , Eduardo V. S. Ribeiro , Gabrielle Weber , Durval Rodrigues

We study the discrete energy spectrum of curved graphene sheets in the presence of a magnetic field. The shifting of the Landau levels is determined for complex and realistic geometries of curved graphene sheets. The energy levels follow a…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Kyriakos Flouris , Miller Mendoza , Hans J. Herrmann

Strain-induced pseudo magnetic fields offer the possibility of realizing zero magnetic field Quantum Hall effect in graphene, possibly up to room temperature, representing a promising avenue for lossless charge transport applications.…

We describe a simple setup generating pure valley currents -- valley transport without charge transport -- in strained graphene nanoribbons with zigzag edges. The crucial ingredient is a uniaxial strain pattern which couples to the…

Mesoscale and Nanoscale Physics · Physics 2020-02-28 Étienne Lantagne-Hurtubise , Xiao-Xiao Zhang , Marcel Franz

We consider a single-layer graphene with high ripples, so that the pseudo-magnetic fields due to these ripples are strong. If the magnetic length corresponding to a typical pseudo-magnetic field is smaller than the ripple size, the…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Rajesh K. Malla , M. E. Raikh

Unlike regular electron spin, the pseudospin degeneracy of Fermi points in graphene does not couple directly to magnetic field. Therefore, graphene provides a natural vehicle to observe the integral and fractional quantum Hall physics in an…

Strongly Correlated Electrons · Physics 2009-11-11 Csaba Toke , Paul E. Lammert , Jainendra K. Jain , Vincent H. Crespi

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

The electromagnetic response of bilayer graphene in a magnetic field is studied in comparison with that of monolayer graphene. Both types of graphene turn out to be qualitatively quite similar in dielectric and screening characteristics,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Misumi , K. Shizuya

Bilayer graphene in a magnetic field supports eight zero-energy Landau levels, which, as a tunable band gap develops, evolve into two nearly-degenerate quartets separated by the band gap. A close look is made into the properties of such an…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 K. Shizuya

Employing the low-energy effective theory alongside a combination of analytical and numerical techniques, we explore the Landau level collapse phenomenon, uncovering previously undisclosed features. We consider both finite-width graphene…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 A. A. Herasymchuk , S. G. Sharapov , V. P. Gusynin

We point out that the zero-energy Landau level of Dirac fermions in graphene can be, in the presence of a repulsive electron-electron interaction, split into two (levels) associated with a "bond ordering" formation having a "Kekule…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yasuhiro Hatsugai , Takahiro Fukui , Hideo Aoki

We show that, when graphene is subjected to an appropriate one-dimensional external periodic potential, additional branches of massless fermions are generated with nearly the same electron-hole crossing energy as that at the original Dirac…

Mesoscale and Nanoscale Physics · Physics 2009-07-24 Cheol-Hwan Park , Young-Woo Son , Li Yang , Marvin L. Cohen , Steven G. Louie

Studying the tight binding model in an applied rational magnetic field (H) we show that in graphene there are very unusual Landau levels situated in the immediate vicinity of the saddle point (M-point) energy epsilon_M. Landau levels around…

Mesoscale and Nanoscale Physics · Physics 2021-12-23 A. V. Nikolaev

We describe a technique which allows a direct measurement of the relative Fermi energy in an electron system using a double layer structure, where graphene is one of the two layers. We illustrate this method by probing the Fermi energy as a…

Mesoscale and Nanoscale Physics · Physics 2012-06-26 Seyoung Kim , Insun Jo , D. C. Dillen , D. A. Ferrer , B. Fallahazad , Z. Yao , S. K. Banerjee , E. Tutuc

Superlattices (SLs) in monolayer and bilayer graphene, formed by spatially periodic potential variations, lead to a modified bandstructure with extra finite-energy and zero-energy Dirac fermions with tunable anisotropic velocities. We…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 Si Wu , Matthew Killi , Arun Paramekanti

We report on magneto-transport measurements on low-density, large-area monolayer epitaxial graphene devices grown on SiC. We show that the zero-energy Landau level (LL) in monolayer graphene, which is predicted to be magnetic field…

Disordered Systems and Neural Networks · Physics 2016-02-29 Lung-I Huang , Yanfei Yang , Randolph E. Elmquist , Shun-Tsung Lo , Fan-Hung Liu , Chi-Te Liang
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