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We construct an effective low energy Hamiltonian which describes fermions dwelling on a deformed honeycomb lattice with dislocations and disclinations, and with an arbitrary hopping parameters of the corresponding tight binding model. It…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Ara Sedrakyan , Andreas Sinner , Klaus Ziegler

Graphene has recently been shown to possess giant nonlinearity; however, the utility of this nonlinearity is limited due to high losses and small interaction volume. We show that by performing waveguide engineering to graphene's…

Mesoscale and Nanoscale Physics · Physics 2014-11-19 Kelvin J. A. Ooi , Lay Kee Ang , Dawn T. H. Tan

The possibility of superconducting pairing of electrons in doped graphene due to in-plane and out-of-plane phonons is studied. Quadratic coupling of electrons with out-of-plane phonons is considered in details, taking into account both…

Mesoscale and Nanoscale Physics · Physics 2010-05-27 Yu. E. Lozovik , A. A. Sokolik

We investigate the unusual features of the quantum transport in gapped monolayer graphene, which is in a pseudospin symmetry-broken state with a net perpendicular pseudomagnetization. Using these pseudoferromagnets (PFs), we propose a…

Mesoscale and Nanoscale Physics · Physics 2013-08-20 Leyla Majidi , Malek Zareyan

The experimental availability of ultra-high-mobility samples of graphene opens the possibility to realize and study experimentally the "hydrodynamic" regime of the electron liquid. In this regime the rate of electron-electron collisions is…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Alessandro Principi , Giovanni Vignale

Graphene nanoribbons are the counterpart of carbon nanotubes in graphene-based nanoelectronics. We investigate the electronic properties of chemically modified ribbons by means of density functional theory. We observe that chemical…

Materials Science · Physics 2009-09-29 F. Cervantes-Sodi , G. Csányi , S. Piscanec , A. C. Ferrari

We report the exact solution of spectral problem for a graphene sheet framed by two armchair- and two zigzag-shaped boundaries. The solution is found for the $\pi$ electron Hamiltonian and gives, in particular, a closed analytic expression…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Lyuba Malysheva , Alexander Onipko

Graphene on a dielectric substrate exhibits spatial doping inhomogeneities, forming electron-hole puddles. Understanding and controlling the latter is of crucial importance for unraveling many of graphene's fundamental properties at the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 S. C. Martin , S. Samaddar , B. Sacépé , A. Kimouche , J. Coraux , F. Fuchs , B. Grévin , H. Courtois , C. B. Winkelmann

We consider lattice deformations (both continuous and topological) in the hexagonal lattice Hubbard model in the tight binding approximation to graphene, involving operators with the range up to next-to-neighbor. In the low energy limit, we…

Statistical Mechanics · Physics 2015-05-20 Corneliu Sochichiu

Electronic states near a square Fermi surface are mapped onto quantum chains. Using boson-fermion duality on the chains, the bosonic part of the interaction is isolated and diagonalized. These interactions destroy Fermi liquid behavior.…

Condensed Matter · Physics 2009-10-22 A. Luther

We investigate the effect of electron- $\mathrm{A}_{1g}$ phonon coupling on the gapless electronic band dispersion of the pristine graphene. The electron-phonon interaction is introduced through a Kekul\'{e}-type distortion giving rise to…

Mesoscale and Nanoscale Physics · Physics 2013-10-29 B. S. Kandemir , A. Mogulkoc

We introduce a different perspective describing electron-phonon interactions in graphene based on curved space hydrodynamics. Interactions of phonons with charge carriers increase the electrical resistivity of the material. Our approach…

Materials Science · Physics 2017-02-15 Ilario Giordanelli , Miller Mendoza , Hans Herrmann

It is shown that a graphene ribbon, a ballistic strip of carbon monolayer, may serve as a quantum wire whose electronic properties can be continuously and reversibly controlled by an externally applied transverse voltage. The electron bands…

Mesoscale and Nanoscale Physics · Physics 2007-08-02 D. S. Novikov

Carbon based systems are prominent candidates for a solid-state spin-qubit due to weak spin-orbit and hyperfine interactions in combination with a low natural abundance of spin carrying isotopes. We consider the effect of the hyperfine…

Mesoscale and Nanoscale Physics · Physics 2012-08-03 Moritz Fuchs , Valentin Rychkov , Björn Trauzettel

We suggest that a spin-charge separating ansatz, leading to non-Abelian $SU(2) \otimes U_S(1)$ gauge symmetries in doped antiferromagnets, proposed earlier as a way of describing Kosterlitz-Thouless superconducting gaps at the nodes of the…

Condensed Matter · Physics 2009-10-31 K. Farakos , G. Koutsoumbas , N. E. Mavromatos

Antidot lattices, defined on a two-dimensional electron gas at a semiconductor heterostructure, are a well-studied class of man-made structures with intriguing physical properties. We point out that a closely related system, graphene sheets…

Mesoscale and Nanoscale Physics · Physics 2008-04-04 Thomas G. Pedersen , Christian Flindt , Jesper Pedersen , Niels Asger Mortensen , Antti-Pekka Jauho , Kjeld Pedersen

Measuring the transport of electrons through a graphene sheet necessarily involves contacting it with metal electrodes. We study the adsorption of graphene on metal substrates using first-principles calculations at the level of density…

Materials Science · Physics 2015-05-13 P. A. Khomyakov , G. Giovannetti , P. C. Rusu , G. Brocks , J. van den Brink , P. J. Kelly

Strain has been extensively employed to tailor graphene's properties and has emerged as a powerful tool for engineering gauge fields and exploring fundamental phenomena in artificial platforms like photonic graphene. Here we discover that,…

Optics · Physics 2025-09-26 Yongsheng Liang , Shiqi Xia , Daohong Song , Hrvoje Buljan , Zhigang Chen

The isolation of graphene has triggered an avalanche of studies into the spin-dependent physical properties of this material, as well as graphene-based spintronic devices. Here we review the experimental and theoretical state-of-art…

Mesoscale and Nanoscale Physics · Physics 2015-03-11 Wei Han , Roland K. Kawakami , Martin Gmitra , Jaroslav Fabian

We report a comprehensive study of the tuning with electric fields of the resonant magneto-exciton optical phonon coupling in gated graphene. For magnetic fields around $B \sim 25$ T which correspond to the range of the fundamental…

Mesoscale and Nanoscale Physics · Physics 2014-05-14 P. Leszczynski , Z. Han , A. A. L. Nicolet , B. A. Piot , P. Kossacki , M. Orlita , V. Bouchiat , D. M. Basko , M. Potemski , C. Faugeras