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We review recent work on superlattices in monolayer and bilayer graphene. We highlight the role of the quasiparticle chirality in generating new Dirac fermion modes with tunable anisotropic velocities in one dimensional (1D) superlattices…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Matthew Killi , Si Wu , Arun Paramekanti

We investigate the local density of states and Friedel oscillation in graphene around a well localized impurity in Born approximation. In our analytical calculations Green's function technique has been used taking into account both the…

Mesoscale and Nanoscale Physics · Physics 2010-11-23 Ádám Bácsi , Attila Virosztek

Landau level quantization in graphene reflects the Dirac nature of its quasiparticles and has been found to exhibit an unusual integer quantum Hall effect. In particular the lowest Landau level can be thought as shared equally by electrons…

Mesoscale and Nanoscale Physics · Physics 2007-05-28 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

We study two lattice models, the honeycomb lattice (HCL) and a special square lattice (SQL), both reducing to the Dirac equation in the continuum limit. In the presence of disorder (gaussian potential disorder and random vector potential),…

Mesoscale and Nanoscale Physics · Physics 2009-06-25 Klaus Ziegler , Balázs Dóra , Peter Thalmeier

In recent experimental and theoretical studies of graphene, disorder scattering processes have been suggested to play an important role in its electronic and transport properties. In the preceding paper, it has been shown that the…

Disordered Systems and Neural Networks · Physics 2023-08-08 Yanru Chen , Bo Fu , Jinrong Xu , Qinwei Shi , Ping Cui , Zhenyu Zhang

Low-energy electronic states in monolayer and bilayer graphenes present chiral charge carriers with unique and unusual properties of interest for electronic applications. Here, we report the magnetotransport measurements in the ABC-stacked…

Strongly Correlated Electrons · Physics 2011-12-05 Liyuan Zhang , Yan Zhang , J. Camacho , M. Khodas , I. A. Zaliznyak

We study electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder at half filling. We show that the transport properties of the system depend strongly on the symmetry of disorder. We find that…

Mesoscale and Nanoscale Physics · Physics 2007-10-04 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

Using an effective Hamiltonian with d-wave superconductivity (dSC) and competing antiferromagnetic (AF) interactions, we show that weak and one-dimensionally modulated dSC, spin density wave (SDW) and charge density wave (CDW) could coexist…

Superconductivity · Physics 2009-11-10 Hong-Yi Chen , C. S. Ting

The scattering of two-dimensional massless Dirac fermions from local spin-orbit interactions with an origin in dilute concentrations of physisorbed atomic species on graphene is theoretically investigated. The hybridization between graphene…

Mesoscale and Nanoscale Physics · Physics 2014-08-21 Alexandre Pachoud , Aires Ferreira , B. Özyilmaz , A. H. Castro Neto

The linear energy dispersion of graphene electrons leads to a strongly nonlinear electromagnetic response of this material. We develop a general quantum theory of the third-order nonlinear local dynamic conductivity of graphene…

Mesoscale and Nanoscale Physics · Physics 2016-02-04 S. A. Mikhailov

We study the graphene lattice with a curvature effect. The action depicting multilayers of graphene is portrayed in curved spacetime and effective Dirac equation scopes the curvature effect. The magnetic field is responsible for the…

Mesoscale and Nanoscale Physics · Physics 2014-09-11 M. J. I. Khan , M. Kamran , S. Babar

The quantum Hall effect in graphene is regarded to be involving half-integer topological numbers associated with the massless Dirac particle, this is usually not apparent due to the doubling of the Dirac cones. Here we theoretically…

Mesoscale and Nanoscale Physics · Physics 2012-04-30 H Watanabe , Y Hatsugai , H Aoki

We derive a $2+1$ dimensional model with unconventional supersymmetry at the boundary of an ${\rm AdS}_4$ $\mathcal{N}$-extended supergravity, generalizing previous results. The (unconventional) extended supersymmetry of the boundary model…

High Energy Physics - Theory · Physics 2020-01-22 L. Andrianopoli , B. L. Cerchiai , R. D'Auria , A. Gallerati , R. Noris , M. Trigiante , J. Zanelli

Using the quasiparticle self-consistent GW (QSGW) and local-density (LD) approximations, we calculate the q-dependent static dielectric function, and derive an effective 2D dielectric function corresponding to screening of point charges. In…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. van Schilfgaarde , M. I. Katsnelson

Spin-polarized first-principles calculations have been performed to tune the electronic and optical properties of graphene (G) and boron-nitride (BN) quantum dots (QDs) through molecular charge-transfer using Tetracyanoquinodimethane (TCNQ)…

Materials Science · Physics 2017-09-13 Arkamita Bandyopadhyay , Sharma SRKC Yamijala , Swapan K Pati

With considering the great success of scanning tunnelling microscopy (STM) studies of graphene in the past few years, it is quite surprising to notice that there is still a fundamental contradiction about the reported tunnelling spectra of…

Materials Science · Physics 2018-05-30 Si-Yu Li , Ke-Ke Bai , Wei-Jie Zuo , Yi-Wen Liu , Zhong-Qiu Fu , Wen-Xiao Wang , Yu Zhang , Long-Jing Yin , Jia-Bin Qiao , Lin He

This paper is aimed to review and promote the main applications of the methods of Quantum Field Theory to description of quantum effects in graphene. We formulate the effective electromagnetic action following from the Dirac model for the…

High Energy Physics - Theory · Physics 2016-12-22 Ignat V. Fialkovsky , Dmitri V. Vassilevich

The electrons in graphene for energies close to the Dirac point have been found to form strongly interacting fluid. Taking this fact into account we have extended previous work on the transport properties of graphene by taking into account…

High Energy Physics - Theory · Physics 2018-03-14 Marek Rogatko , Karol. I. Wysokinski

We analyze the nature of the single particle states, away from the Dirac point, in the presence of long-range charge impurities in a tight-binding model for electrons on a two-dimensional honeycomb lattice which is of direct relevance for…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 Sabyasachi Nag , Arti Garg , T. V. Ramakrishnan

Based upon projected local density of states (PLDOS) for photons, we develop a local coupling theory to simultaneously treat the weak and strong interaction between a quantum emitter and photons in arbitrary nanostructures. The PLDOS is…

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