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We present a description of the energy loss of a charged particle moving parallel to a graphene layer and graphene double layers. Specifically, we compare the stopping power of the plasma oscillations for these two configurations in the…

Materials Science · Physics 2015-05-28 Godfrey Gumbs , O. Roslyak , Danhong Huang , Antonios Balassis

The relation between the energy and momentum of plasmarons in bilayer graphene is investigated within the Overhauser approach, where the electron-plasmon interaction is described as a field theoretical problem. We find that the Dirac-like…

Mesoscale and Nanoscale Physics · Physics 2013-10-24 P. M. Krstajić , F. M. Peeters

We study Dirac plasmons and their damping in spatially separated $N$-layer graphene structures at finite doping and temperatures. The plasmon spectrum consists of one optical excitation with a square-root dispersion and $N-1$ acoustical…

Mesoscale and Nanoscale Physics · Physics 2013-02-13 J. -J. Zhu , S. M. Badalyan , F. M. Peeters

The electromagnetic response of graphene, expressed by the dielectric function, and the spectrum of collective excitations are studied as a function of wave vector and frequency. Our calculation is based on the full band structure,…

Strongly Correlated Electrons · Physics 2009-09-03 A. Hill , S. A. Mikhailov , K. Ziegler

Plasmons are the quantized collective oscillations of electrons in metals and doped semiconductors. The plasmons of ordinary, massive electrons are since a long time basic ingredients of research in plasmonics and in optical metamaterials.…

Mesoscale and Nanoscale Physics · Physics 2013-07-24 P. Di Pietro , M. Ortolani , O. Limaj , A. Di Gaspare , V. Giliberti , F. Giorgianni , M. Brahlek , N. Bansal , N. Koirala , S. Oh , P. Calvani , S. Lupi

We show that the plasmon spectrum of an ordinary two-dimensional electron gas (2DEG) hosted in a GaAs heterostructure is significantly modified when a graphene sheet is placed on the surface of the semiconductor in close proximity to the…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 Alessandro Principi , Matteo Carrega , Reza Asgari , Vittorio Pellegrini , Marco Polini

We discuss plasmons of biased twisted bilayer graphene when the Fermi level lies inside the gap. The collective excitations are a network of chiral edge plasmons (CEP) entirely composed of excitations in the topological electronic edge…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Luis Brey , T. Stauber , T. Slipchenko , L. Martín-Moreno

We explore the collective density oscillations of a collection of charged massive Dirac particles, in one, two and three dimensions and their one dimensional superlattice. We calculate the long wavelength limit of the dynamical polarization…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Rashi Sachdeva , Anmol Thakur , Giovanni Vignale , Amit Agarwal

A self-consistent theory involving Maxwell equations and a density-matrix linear-response theory is solved for an electromagnetically-coupled doped graphene micro-ribbon array and a quantum-well electron gas sitting at an interface between…

Materials Science · Physics 2015-06-12 Danhong Huang , Godfrey Gumbs , Oleksiy Roslyak

We develop a theory for the long-wavelength plasma oscillation of a collection of charged massless Dirac particles in a solid, as occurring for example in doped graphene layers, interacting via the long-range Coulomb interaction. We find…

Mesoscale and Nanoscale Physics · Physics 2009-05-22 S. Das Sarma , E. H. Hwang

We present a formalism and numerical results for the energy loss of a charged particle scattered at an arbitrary angle from epitaxially grown multilayer graphene (MLG). It is compared with that of free-standing graphene layers.…

Materials Science · Physics 2011-05-20 O. Roslyak , G. Gumbs , D. H. Huang

We reveal a dramatic departure of electron thermodiffusion in solids relative to the commonly accepted picture of the ideal free-electron gas model. In particular, we show that the interaction with the lattice and impurities, combined with…

Mesoscale and Nanoscale Physics · Physics 2020-10-28 Deng Pan , Hongxing Xu , F. Javier García de Abajo

Plasmon are collective oscillations of mobile electrons with dynamics controlled by their charge stiffness("Drude weight"). Using terahertz spacetime metrology, we probe Plasmon dynamics of mono- and bi-layer graphene. In both systems, the…

In this paper, we study the massive Dirac equation with the presence of the Morse potential in polar coordinate. The Dirac Hamiltonian is written as two second-order differential equations in terms of two spinor wavefunctions. Since the…

Quantum Physics · Physics 2021-04-27 Z. Zali , Alireza Amani , J. Sadeghi , B. Pourhassan

We demonstrate that the plasmon frequency and Drude weight of the electron liquid in a doped graphene sheet are strongly renormalized by electron-electron interactions even in the long-wavelength limit. This effect is not captured by the…

Mesoscale and Nanoscale Physics · Physics 2011-07-19 Saeed H. Abedinpour , G. Vignale , A. Principi , Marco Polini , Wang-Kong Tse , A. H. MacDonald

We develop a theory for the energy relaxation of hot Dirac fermions in graphene. We obtain a generic expression for the energy relaxation rate due to electron-phonon interaction and calculate the power loss due to both optical and acoustic…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Wang-Kong Tse , S. Das Sarma

A study of the formation of excitons as a problem of two Dirac particles in a gapped graphene layer and in two gapped graphene layers separated by a dielectric is presented. In the low energy limit the separation of the center-of-mass and…

Mesoscale and Nanoscale Physics · Physics 2013-07-30 O. L. Berman , R. Ya. Kezerashvili , K. Ziegler

In this paper we study the excitation spectrum of single- and multi-layer graphene beyond the Dirac cone approximation. The dynamical polarizability of graphene is computed using a full $\pi$-band tight-binding model, considering the…

Mesoscale and Nanoscale Physics · Physics 2011-07-29 Shengjun Yuan , Rafael Roldán , Mikhail I. Katsnelson

We study spectra of long wavelength plasma oscillations in a system of two energy splitted one-dimensional (1D) massless Dirac fermion subbands coupled by spin-orbit interaction. Such a system may be formed by edge subbands in…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 V. V. Enaldiev

Dirac energy-dispersions are responsible of the extraordinary transport properties of graphene. This motivated the quest for engineering such energy dispersions also in photonics, where they have been predicted to lead to many exciting…

Mesoscale and Nanoscale Physics · Physics 2023-12-05 Erik P. Navarro-Barón , Herbert Vinck-Posada , Alejandro González-Tudela
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