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In this article we review the quantum Hall physics of graphene based two-dimensional electron systems, with a special focus on recent experimental and theoretical developments. We explain why graphene and bilayer graphene can be viewed…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Yafis Barlas , Kun Yang , A. H. MacDonald

We show that quantum chiral anomaly of QCD in magnetic backgrounds induces a novel structure of electric charge inside baryons. To illustrate the anomaly effect, we employ the Skyrme model for baryons, with the anomaly-induced gauged…

High Energy Physics - Phenomenology · Physics 2013-05-30 Minoru Eto , Koji Hashimoto , Hideaki Iida , Takaaki Ishii , Yu Maezawa

The quantum Hall regime of graphene has many unusual properties. In particular, the presence of a Zeeman field opens up a region of energy within the zeroth Landau level, where the spin-up and spin-down states localized at a single edge…

Mesoscale and Nanoscale Physics · Physics 2018-11-19 Tibor Sekera , Christoph Bruder , Rakesh P. Tiwari

By taking into account the charge and spin orderings and the exchange interactions between all the Landau levels, we investigate the integer quantum Hall effect of electrons in graphene using the mean-field theory. At the fillings $\nu =…

Strongly Correlated Electrons · Physics 2017-02-08 Xin-Zhong Yan , C. S. Ting

We report on a study of the charged-skyrmion or spin-texture excitations which occur in quantum Hall ferromagnets near odd Landau level filling factors. Particle-hole symmetry is used to relate the spin-quantum numbers of charged particle…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 H. A. Fertig , L. Brey , R. Cote , A. H. MacDonald , A. Karlhede , S. L. Sondhi

The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems is explained by the emergent composite fermions (CF) out of ordinary electrons. It is possible to write down explicit wavefunctions explaining many if…

Mesoscale and Nanoscale Physics · Physics 2025-01-31 Thierry Jolicoeur

Theory of scattering of massive chiral fermions in bilayer graphene by radial symmetric potential is developed. It is shown that in the case when the electron wavelength is much larger than the radius of the potential the scattering…

Mesoscale and Nanoscale Physics · Physics 2007-09-02 M. I. Katsnelson

30$^{\circ}$ twisted bilayer graphene demonstrates the quasicrystalline electronic states with 12-fold symmetry. These states are however far away from the Fermi level, which makes conventional Dirac fermion behavior dominating the low…

Materials Science · Physics 2020-07-13 Guodong Yu , Mikhail I. Katsnelson , Shengjun Yuan

Heterostructures formed between two different van der Waals materials enable interactions and functionalities absent in each component. In this work we show that vicinity to an atomically thin WSe$_2$ sheet dramatically impacts the energies…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Ya-Wen Chuang , Jing Li , Hailong Fu , Kenji Watanabe , Takashi Taniguchi , Jun Zhu

We observe a dramatic reduction in the degree of spin-polarization of a two-dimensional electron gas in a magnetic field when the Fermi energy moves off the mid-point of the spin-gap of the lowest Landau level, $\nu=1$. This rapid decay of…

Condensed Matter · Physics 2009-10-28 E. H. Aifer , B. B. Goldberg , D. A. Broido

We theoretically demonstrate that a system formed by two coupled graphene sheets enables a negative damping regime wherein graphene plasmons are pumped by a DC current. This effect is triggered by electrons drifting through one of the…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 Tiago A. Morgado , Mário G. Silveirinha

In the context of the low energy effective theory, the exact Landau level spectrum of quasiparticles in twisted bilayer graphene with small twist angle is analytically obtained by spheroidal eigenvalues. We analyze the dependence of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Min-Young Choi , Young-Hwan Hyun , Yoonbai Kim

Coherent control of optically-injected carrier distributions in single and bilayer graphene allows the injection of electrical currents. Using a tight-binding model and Fermi's golden rule, we derive the carrier and photocurrent densities…

Materials Science · Physics 2011-05-05 J. Rioux , Guido Burkard , J. E. Sipe

We demonstrate a switchable electron shell structure in a bilayer graphene quantum dot by manipulating the trigonal warping effect upon electrical gating. Under a small perpendicular electric field, the lowest s-shell is sequentially filled…

Mesoscale and Nanoscale Physics · Physics 2025-01-24 Guo-Quan Qin , Fang-Ming Jing , Tian-Yue Hao , Shun-Li Jiang , Zhuo-Zhi Zhang , Gang Cao , Xiang-Xiang Song , Guo-Ping Guo

Electrons in two-dimensional graphene sheets behave as interacting chiral Dirac fermions and have unique screening properties due to their symmetry and reduced dimensionality. By using a combination of scanning tunneling spectroscopy…

Magnetic skyrmions are nanoscale spin textures touted as next-generation computing elements. When subjected to lateral currents, skyrmions move at considerable speeds. Their topological charge results in an additional transverse deflection…

Coulomb drag resulting from interlayer electron-electron scattering in double layer 2D electron systems at high magnetic field has been measured. Within the lowest Landau level the observed drag resistance exceeds its zero magnetic value by…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. P. Lilly , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

The interplay of topological characteristics in real space and reciprocal space can lead to the emergence of unconventional topological phases. In this Letter, we implement a novel mechanism for generating higher-Chern flat bands on the…

Strongly Correlated Electrons · Physics 2021-11-23 Yifei Guan , Oleg V. Yazyev , Alexander Kruchkov

We have theoretically studied the collective response properties of the two-dimensional chiral electron gas in bilayer graphene within the random phase approximation. The cooperation of external controlling factors like perpendicular…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Wen-Long You , Xue-Feng Wang

The coupling of charge carrier motion and pseudospin via chirality for massless Dirac fermions in monolayer graphene has generated dramatic consequences, such as the unusual quantum Hall effect and Klein tunneling. In bilayer graphene,…

Mesoscale and Nanoscale Physics · Physics 2016-11-17 Kyunghoon Lee , Seunghyun Lee , Yun Suk Eo , Cagliyan Kurdak , Zhaohui Zhong