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The electronic spectrum of three coupled graphene layers (graphene trilayers) is investigated in the presence of an external magnetic field. We obtain analytical expressions for the Landau level spectrum for both the ABA and ABC - type of…

Mesoscale and Nanoscale Physics · Physics 2011-07-06 J. M. Pereira , S. H. R. Sena , F. M. Peeters , G. A. Farias

We obtain analytical expressions for the eigenstates and the Landau level spectrum of biased graphene bilayers in a magnetic field. The calculations are performed in the context of a four-band continuum model and generalize previous…

Mesoscale and Nanoscale Physics · Physics 2007-08-08 J. Milton Pereira , F. M. Peeters , P. Vasilopoulos

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

We analyze, within a minimal model that allows analytical calculations, the electronic structure and Landau levels of graphene multi-layers with different stacking orders. We find, among other results, that electrostatic effects can induce…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F. Guinea , A. H. Castro Neto , N. M. R. Peres

The dynamics responsible for lifting the degeneracy of the Landau levels in the quantum Hall (QH) effect in graphene is studied by utilizing a low-energy effective model with a contact interaction. A detailed analysis of the solutions of…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 E. V. Gorbar , V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

As the Fermi level and band structure of two-dimensional materials are readily tunable, they constitute an ideal platform for exploring Lifshitz transition, a change in the topology of a material's Fermi surface. Using tetralayer graphene…

Mesoscale and Nanoscale Physics · Physics 2018-03-09 Yanmeng Shi , Shi Che , Kuan Zhou , Supeng Ge , Ziqi Pi , Timothy Espiritu , Takashi Taniguchi , Kenji Watanabe , Yafis Barlas , Roger Lake , Chun Ning Lau

The effect of disorder on the Landau levels of massless Dirac fermions is examined for the cases with and without the fermion doubling. To tune the doubling a tight-binding model having a complex transfer integral is adopted to shift the…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 T. Kawarabayashi , T. Honda , H. Aoki , Y. Hatsugai

The recent discovery of topological Dirac semimetals (DSM) has provoked intense curiosity not only on Weyl physics in solids, but also on topological phase transitions originating from DSM. One example is controlling the dimensionality to…

The inter-Landau level transitions observed in far-infrared transmission experiments on few-layer graphene samples show a behaviour characteristic of the linear dispersion expected in graphene. This behaviour persists in relatively thick…

Materials Science · Physics 2009-11-13 M. L. Sadowski , G. Martinez , M. Potemski , C. Berger , W. A. de Heer

The minimum of 4-terminal conductance occurring at its charge neutral point has proven to be a robust empirical feature of graphene, persisting with changes to temperature, applied magnetic field, substrate, and layer thickness, though the…

Mesoscale and Nanoscale Physics · Physics 2017-07-17 P. Cadden-Zimansky , M. Shinn , G. T. Myers , Y. Chu , M. J. Dalrymple , H. C. Travaglini

We have investigated the behavior of the resistance of graphene at the $n=0$ Landau Level in an intense magnetic field $H$. Employing a low-dissipation technique (with power $P<$3 fW), we find that, at low temperature $T$, the resistance at…

Mesoscale and Nanoscale Physics · Physics 2009-04-01 Joseph G. Checkelsky , Lu Li , N. P. Ong

We describe the formation of superconducting states in graphene in the presence of pseudo-Landau levels induced by strain, when time reversal symmetry is preserved. We show that superconductivity in strained graphene is quantum critical…

Superconductivity · Physics 2013-07-29 Bruno Uchoa , Yafis Barlas

We use the gauge/gravity correspondence to show that in its context there appear Landau levels when studying the excitations of the fundamental degrees of freedom of a strongly coupled plasma subject to a magnetic field of arbitrary…

High Energy Physics - Theory · Physics 2022-06-29 Uriel Elinos , Leonardo Patino

We construct the coherent states for charge carriers in a graphene layer immersed in crossed external electric and magnetic fields. For that purpose, we solve the Dirac-Weyl equation in a Landau-like gauge avoiding applying techniques of…

Quantum Physics · Physics 2020-09-21 Miguel Castillo-Celeita , Erik Díaz-Bautista , Maurice Oliva-Leyva

We investigate the relativistic quantum dynamics of amassless electron in graphene in a two-dimensional noncommutative (NC) plane under a constant background magnetic field. To address the issue of gauge invariance, we employ an effective…

High Energy Physics - Theory · Physics 2025-09-30 Aslam Halder

We investigate Dirac fermions on the surface of the topological insulator Bi2Se3 using scanning tunneling spectroscopy. Landau levels (LLs) are observed in the tunneling spectra in a magnetic field. In contrast to LLs of conventional…

Mesoscale and Nanoscale Physics · Physics 2010-08-12 T. Hanaguri , K. Igarashi , M. Kawamura , H. Takagi , T. Sasagawa

Landau level spectroscopy plays an important role in modern condensed-matter physics. In this technique, electrons in a solid are subjected to quantizing magnetic fields and probed experimentally, often through optical methods. Direct and…

Materials Science · Physics 2026-05-12 Ana Akrap , Milan Orlita

Graphite is a model system for the study of three-dimensional electrons and holes in the magnetic quantum limit, in which the charges are confined to the lowest Landau levels. We report magneto-transport measurements in pulsed magnetic…

Strongly Correlated Electrons · Physics 2017-09-28 F. Arnold , A. Isidori , E. Kampert , B. Yager , M. Eschrig , J. Saunders

We demonstrate experimentally that graphene quantum capacitance $C_{\mathrm{q}}$ can have a strong impact on transport spectroscopy through the interplay with nearby charge reservoirs. The effect is elucidated in a field-effect-gated…

Mesoscale and Nanoscale Physics · Physics 2012-10-30 K. Takase , S. Tanabe , S. Sasaki , H. Hibino , K. Muraki

The effect of a varying pseudo-magnetic field, which falls as $1/x^2$, on a two dimensional electron gas in graphene is investigated. By considering the second order Dirac equation, we show that its correct general solution is that which…

Mesoscale and Nanoscale Physics · Physics 2015-01-29 L. G. da Silva Leite , D. Cogollo , C. Filgueiras , Edilberto O. Silva