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The tight-binding model of electrons in graphene is reviewed. We derive low-energy Hamiltonians supporting massless Dirac-like chiral fermions and massive chiral fermions in monolayer and bilayer graphene, respectively, and we describe how…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Edward McCann

Partially filled Landau levels host competing orders, with electron solids prevailing close to integer fillings before giving way to fractional quantum Hall liquids as the Landau level fills. Here, we report the observation of an electron…

Mesoscale and Nanoscale Physics · Physics 2020-02-27 Haoxin Zhou , Hryhoriy Polshyn , Takashi Taniguchi , Kenji Watanabe , Andrea F. Young

We investigate the effect of electron-electron interactions in ABC stacked graphene trilayers. In the gapless regime, we show that the self-energy corrections lead to the renormalization of the dynamical exponent $z=3+\alpha_{1}/N$, with…

Mesoscale and Nanoscale Physics · Physics 2014-12-03 Xu Dou , Akbar Jaefari , Yafis Barlas , Bruno Uchoa

Graphene in the quantum Hall regime exhibits a multi-component structure due to the electronic spin and chirality degrees of freedom. While the applied field breaks the spin symmetry explicitly, we show that the fate of the chirality SU(2)…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , R. Moessner , B. Doucot

We study the electron spectral function of various zero-temperature spin-charge separated phases in two dimensions. In these phases, the electron is not a fundamental excitation of the system, but rather ``decays'' into a spin-1/2…

Strongly Correlated Electrons · Physics 2009-11-07 C. Lannert , Matthew P. A. Fisher , T. Senthil

This study theoretically investigated the magnetic properties and electronic structure of a graphene-based nano-spin-valve-like structure. Magnetic nickel layers on both sides of the graphene were considered. A spin-polarized…

Mesoscale and Nanoscale Physics · Physics 2019-05-30 Yusuf Wicaksono , Shingo Teranishi , Kazutaka Nishiguchi , Koichi Kusakabe

We show that exchange interactions in two-dimensional electron gases out of equilibrium can generate a fictitious vector potential with intriguing signatures in interference and Hall measurements. Detailed predictions are made for graphene,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Kindermann

The relativistic Foldy-Wouthuysen transformation is used for an advanced description of planar graphene electrons in external fields and free (2+1)-space. It is shown that the initial Dirac equation should by based on the usual $(4\times4)$…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Alexander J. Silenko

Rhombohedral stacked multilayer graphene displays the occurrence of a magnetic surface state at low temperatures. Recent angular resolved photoemission experiments demonstrate the robustness of the magnetic state in long sequences of ABC…

Materials Science · Physics 2018-08-22 Jacopo Baima , Francesco Mauri , Matteo Calandra

We consider theoretically the influence of crystalline fields on the electronic structure of graphene placed on a layered material with reduced symmetry and large spin-orbit coupling (SOC). We use a perturbative procedure combined with the…

Mesoscale and Nanoscale Physics · Physics 2018-07-10 Tarik P. Cysne , Aires Ferreira , Tatiana G. Rappoport

The two-dimensional electron systems in graphene and in topological insulators are described by massless Dirac equations. Although the two systems have similar Hamiltonians, they are polar opposites in terms of spin-orbit coupling strength.…

Mesoscale and Nanoscale Physics · Physics 2013-08-16 D. A. Pesin , A. H. MacDonald

Electronic decoupling of graphene from metallic and semiconducting substrates via intercalation of different species is one of the widely used approaches in studies of graphene. In the present work the modification of the electronic and…

Materials Science · Physics 2021-12-24 Yong Zhou , Roman Ovcharenko , Beate Paulus , Yuriy Dedkov , Elena Voloshina

We show that characteristics of the electron's form factor in two-dimensional materials are observable in quasiparticle interference (QPI) spectrum. We study QPI in twisted bilayer graphene using real-space tight-binding calculations…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 D. -H. -Minh Nguyen , Francisco Guinea , Dario Bercioux

We report an observation of spin-valve like hysteresis within a few atomic layers at a ferromagnetic interface. We use phonon spectroscopy of nanometer sized point contacts as an in-situ probe to study the mechanism of the effect. Distinct…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 I. K. Yanson , Yu. G. Naidyuk , V. V. Fisun , A. Konovalenko , O. P. Balkashin , L. Yu. Triputen , V. Korenivski

Density functional perturbation theory is used to analyze electron-phonon interaction in bilayer graphene. The results show that phonon scattering in bilayer graphene bears more resemblance with bulk graphite than monolayer graphene. In…

Mesoscale and Nanoscale Physics · Physics 2010-11-29 K. M. Borysenko , J. T. Mullen , X. Li , Y. G. Semenov , J. M. Zavada , M. Buongiorno Nardelli , K. W. Kim

We study the spin exchange between two electrons localized in separate quantum dots in graphene. The electronic states in the conduction band are coupled indirectly by tunneling to a common continuum of delocalized states in the valence…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Matthias Braun , P. R. Struck , Guido Burkard

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

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

Spin and angular momenta of light are important degrees of freedom in nanophotonics which control light propagation, optical forces and information encoding. Typically, optical angular momentum is generated using q-plates or spatial light…

Optics · Physics 2020-02-28 Alessandro Ciattoni , Claudio Conti , Anatoly Zayats , Andrea Marini

Electronic band structures in hydrogenated graphene are theoretically investigated by means of first-principle calculations and an effective tight-binding model. It is shown that regularly designed hydrogenation to graphene gives rise to a…

Mesoscale and Nanoscale Physics · Physics 2024-08-05 Yong-Cheng Jiang , Toshikaze Kariyado , Xiao Hu