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We present a theoretical study of the bandstructure and Landau levels in bilayer graphene at low energies in the presence of a transverse magnetic field and Rashba spin-orbit interaction in the regime of negligible trigonal distortion.…

Mesoscale and Nanoscale Physics · Physics 2012-09-18 Francisco Mireles , John Schliemann

A new family of the low-buckled Dirac materials which includes silicene, germanene, etc. is expected to possess a more complicated sequence of Landau levels than in pristine graphene. Their energies depend, among other factors, on the…

Strongly Correlated Electrons · Physics 2014-11-18 V. Yu. Tsaran , S. G. Sharapov

The aim of this work is to describe the spin magnetization of graphene with Rashba spinorbit coupling and Zeeman effect. It is shown that the magnetization depends critically on the spin-orbit coupling l that is controlled with an external…

Strongly Correlated Electrons · Physics 2017-08-28 Federico Escudero , Lucas Sourrouille , Juan Sebastián Ardenghi , Paula Jasen

The electronic properties of a graphene monolayer in a magnetic and a strain-induced pseudo-magnetic field are studied in the presence of spin-orbit interactions (SOI) that are artificially enhanced, e.g., by suitable adatom deposition. For…

Mesoscale and Nanoscale Physics · Physics 2011-10-14 A. De Martino , A. Hütten , R. Egger

We study a two-dimensional electron gas in a perpendicular magnetic field in the presence of both Rashba and Dresselhaus spin-orbit interactions. Using a Bogoliubov transformation we are able to write an approximate formula for the Landau…

Materials Science · Physics 2009-11-11 Mahdi. Zarea , Sergio. E. Ulloa

In graphene on transition metal dichalcogenides, proximity-induced Rashba and spin-valley Zeeman SOCs can coexist that modify graphene's electronic band differently. Here, we show that the Landau levels (LLs) are also affected by these SOCs…

Mesoscale and Nanoscale Physics · Physics 2024-01-09 Qing Rao , Hongxia Xue , Dong-Keun Ki

We study a model of a $p$-$n$ junction in single-layer graphene in the presence of a perpendicular magnetic field and spin-orbit interactions. By solving the relevant quantum-mechanical problem for a potential step, we determine the exact…

Mesoscale and Nanoscale Physics · Physics 2019-09-09 Dario Bercioux , Alessandro De Martino

Graphene consists in a single-layer carbon crystal where 2$p_z$ electrons display a linear dispersion relation in the vicinity of the Fermi level, conveniently described by a massless Dirac equation in $2+1$ spacetime. Spin-orbit effects…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 B. Berche , F. Mireles , E. Medina

Magneto-optical transitions between Landau levels can provide precise spectroscopic information on the electronic structure and excitation spectra of graphene, enabling probes of substrate and many-body effects. We calculate the…

Mesoscale and Nanoscale Physics · Physics 2015-09-15 L. A. Chizhova , J. Burgdörfer , F. Libisch

We investigate the local spin polarization texture of Landau levels under Rashba spin-orbit coupling in bulk two-dimensional electron gas (2DEG) systems. In order to analyze the spin polarization as a function of two-dimensional coordinates…

Mathematical Physics · Physics 2010-06-25 T. Fujita , M. B. A. Jalil , S. G. Tan , F. Wan

Dirac electrons in finite graphene samples with zigzag edges under high magnetic fields (in the regime of Landau-level formation) are investigated with regard to their bulk-type and edge-type character. We employ tight-binding calculations…

Mesoscale and Nanoscale Physics · Physics 2011-02-16 Igor Romanovsky , Constantine Yannouleas , Uzi Landman

In this paper we consider modification of electronic properties of graphene-based topological insulator in the presence of wedge disclination and magnetic field by adopting the Kane-Mele model with intrinsic spin-orbit coupling. Using the…

Strongly Correlated Electrons · Physics 2017-07-19 J. R. S. Oliveira , G. Q. Garcia , C. Furtado , S. Sergeenkov

Low-energy Landau levels of AB-stacked zigzag graphene ribbons in the presence of a uniform perpendicular magnetic field (\textbf{B}) are investigated by the Peierls coupling tight-binding model. State energies and associated wave functions…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Y. C. Huang , C. P. Chang , W. S. Su , M. F. Lin

The Landau level spectrum of graphene superlattices is studied using a tight-binding approach. We consider non-interacting particles moving on a hexagonal lattice with an additional one-dimensional superlattice made up of periodic square…

Mesoscale and Nanoscale Physics · Physics 2012-06-28 G. Pal , W. Apel , L. Schweitzer

Bilayer graphene in a magnetic field hosts a variety of ordered phases built from eight Landau levels close in energy to the neutrality point. These levels are characterized by orbital $n=0,1$, valley $\xi=+,-$ and spin…

Mesoscale and Nanoscale Physics · Physics 2020-05-25 Brett R. Green , Jorge O. Sofo

This work reports the three-band structure associated with a Lieb lattice with arbitrary nearest and next-nearest neighbors hopping interactions. For specific configurations, the system admits a flat band located between two dispersion…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Kevin Zelaya , Vit Jakubský

The density of states and differential entropy per particle are analyzed for Dirac-like electrons in graphene subjected to a perpendicular magnetic field and an in-plane electric field. For comparison, the derived density of states is…

Mesoscale and Nanoscale Physics · Physics 2025-02-25 Andrii A. Chaika , Yelizaveta Kulynych , D. O. Oriekhov , Sergei G. Sharapov

We study proximity-induced spin-orbit coupling (SOC) in bilayer graphene/few-layer WSe2 heterostructure devices. Contact mode atomic force microscopy (AFM) cleaning yields ultra-clean interfaces and high-mobility devices. In a perpendicular…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 Dongying Wang , Shi Che , Guixin Cao , Rui Lyu , Kenji Watanabe , Takashi Taniguchi , Chun Ning Lau , Marc Bockrath

Scanning tunneling microscopy and spectroscopy in magnetic field was used to study Landau quantization in graphene and its dependence on charge carrier density. Measurements were carried out on exfoliated graphene samples deposited on a…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Adina Luican , Guohong Li , Eva Y. Andrei

Massless Dirac electrons in graphene fill Landau levels with energies scaled as square roots of their numbers. Coulomb interaction between electrons leads to mixing of different Landau levels. The relative strength of this interaction…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 Yu. E. Lozovik , A. A. Sokolik
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