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Adsorbates can drastically alter physical properties of graphene. Particularly important are adatoms and admolecules that induce resonances at the Dirac point. Such resonances limit electron mobilities and spin relaxation times. We present…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Jeongsu Lee , Denis Kochan , Jaroslav Fabian

We investigate the formation of edge states in graphene ribbons and flakes with proximity induced valley-Zeeman and Rashba spin-orbit couplings in the presence of a perpendicular magnetic field $B$. Two types of edges states appear in the…

Mesoscale and Nanoscale Physics · Physics 2022-06-07 Yaroslav Zhumagulov , Tobias Frank , Jaroslav Fabian

We study RKKY interactions for magnetic impurities on graphene in situations where the electronic spectrum is in the form of Landau levels. Two such situations are considered: non-uniformly strained graphene, and graphene in a real magnetic…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Jinlyu Cao , H. A. Fertig , Shixiong Zhang

Starting from a microscopic tight-binding model and using second order perturbation theory, we derive explicit expressions for the intrinsic and Rashba spin-orbit interaction induced gaps in the Dirac-like low-energy band structure of an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hongki Min , J. E. Hill , N. A. Sinitsyn , B. R. Sahu , Leonard Kleinman , A. H. MacDonald

In this proceedings paper we report on a calculation of graphene's Landau levels in a magnetic field. Our calculations are based on a self-consistent Hartree-Fock approximation for graphene's massless-Dirac continuum model. We find that…

Mesoscale and Nanoscale Physics · Physics 2009-10-07 Yafis Barlas , Wei-Cheng Lee , Kentato Nomura , Allan H. MacDonald

Electronic structure of graphene monolayer-bilayer junction in a magnetic field is studied within an effective-mass approximation. The energy spectrum is characterized by interface Landau levels, i.e., the locally flat bands appearing near…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Mikito Koshino , Takeshi Nakanishi , Tsuneya Ando

Electron states localized at a magnetic domain wall in a graphene caplayer with Rashba spin-orbit interaction and coupled to a magnetic overlayer are studied theoretically. It is shown that two one-dimensional bands of edge modes…

Mesoscale and Nanoscale Physics · Physics 2021-12-15 M. Inglot , V. K. Dugaev , A. Dyrdał , J. Barnaś

If bilayer graphene is placed in a high perpendicular magnetic field, several quantum Hall plateaus are observed at low enough temperatures. Of these, the $\sigma_{xy}=4ne^2/h$ sequence ($n\neq0$) is explained by standard Landau…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Judit Sari , Csaba Toke

The joint effects of Kekul\'e lattice distortions and Rashba-type spin-orbit coupling on the electronic properties of graphene are explored. We modeled the position dependence of the Rashba energy term in a manner that allows its seamless…

The aim of this work is to describe the Landau levels transitions of Bloch electrons in doped graphene with an arbitrary time dependent magnetic field in the long wavelength approximation. In particular, transitions from the m Landau level…

Mesoscale and Nanoscale Physics · Physics 2013-07-31 Juan Sebastián Ardenghi , Pablo Bechthold , Paula Jasen , Estela Gonzalez , Oscar Nagel

We apply a circularly and linearly polarized terahertz field on a monolayer of graphene taking into account spin-orbit interactions of the intrinsic and Rashba type. It turns out that the field can not only be used to induce a gap in the…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 Andreas Scholz , Alexander López , John Schliemann

In this paper we investigate quasiparticles in graphene-based topological insulator with a wedge disclination in the presence of a uniform magnetic field. In particular, we consider a massive spinless model. The Landau levels are…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 J. R. S. Oliveira , G. Q. Garcia , P. J. Porfírio , C. Furtado

Electron-electron interactions in half-filled high Landau levels in two-dimensional electron gases in a strong perpendicular magnetic field can lead to states with anisotropic longitudinal resistance. This longitudinal resitance is…

Strongly Correlated Electrons · Physics 2012-02-17 Peter M. Smith , Malcolm P. Kennett

We investigate novel Landau level structures of semi-metals with nodal ring dispersions. When the magnetic field is applied parallel to the plane in which the ring lies, there exist almost non-dispersive Landau levels at the Fermi level…

Strongly Correlated Electrons · Physics 2015-08-04 Jun-Won Rhim , Yong Baek Kim

In the presence of spin-orbit coupling two branches of the energy spectrum of 2D electrons get shifted in the momentum space. Application of in-plane magnetic field causes the splitting of the branches in energy. When both, spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Rajesh K. Malla , M. E. Raikh

Spin-orbit coupling is a manifestation of special relativity. In the reference frame of a moving electron, electric fields transform into magnetic fields, which interact with the electron spin and lift the degeneracy of spin-up and…

Mesoscale and Nanoscale Physics · Physics 2007-09-18 Lorenz Meier , Gian Salis , Ivan Shorubalko , Emilio Gini , Silke Schoen , Klaus Ensslin

We report on transport and capacitance measurements of graphene devices in magnetic fields up to 30 T. In both techniques, we observe the full splitting of Landau levels and we employ tilted field experiments to address the origin of the…

Mesoscale and Nanoscale Physics · Physics 2015-11-30 F. Chiappini , S. Wiedmann , K. S. Novoselov , A. Mishchenko , A. K. Geim , J. C. Maan , U. Zeitler

Landau level bending near the edge of graphene, described using 2d Dirac equation, provides a microscopic framework for understanding the quantum Hall Effect (QHE) in this material. We review properties of the QHE edge states in graphene,…

Mesoscale and Nanoscale Physics · Physics 2008-04-13 Dmitry A. Abanin , Patrick A. Lee , Leonid S. Levitov

Large spin-orbital proximity effects have been predicted in graphene interfaced with a transition metal dichalcogenide layer. Whereas clear evidence for an enhanced spin-orbit coupling has been found at large carrier densities, the type of…

It is known that in two-dimensional relativistic Dirac systems placed in orthogonal uniform magnetic and electric fields, the Landau levels collapse as the applied in-plane electric field reaches a critical value $\pm E_c$. We study this…

Mesoscale and Nanoscale Physics · Physics 2022-08-04 I. O. Nimyi , V. Könye , S. G. Sharapov , V. P. Gusynin