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We theoretically study the dynamic screening properties of bilayer graphene within the random phase approximation assuming quadratic band dispersion and zero gap for the single-particle spectrum. We calculate the frequency dependent…

Materials Science · Physics 2010-11-18 Rajdeep Sensarma , E. H. Hwang , S. Das Sarma

We have investigated the Coulomb screening properties and plasmon spectrum in a bilayer graphene under a perpendicular electric bias. The bias voltage applied between the two graphene layers opens a gap in the single particle energy…

Mesoscale and Nanoscale Physics · Physics 2010-02-04 Xue-Feng Wang , Tapash Chakraborty

We investigate zero-temperature plasmon modes in a double-layer bilayer graphene structure under a perpendicular electrostatic bias. The numerical results demonstrate that there exist two collective modes which are undamped in the long…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Nguyen Van Men , Nguyen Quoc Khanh , Dang Khanh Linh

We have investigated the Coulomb screening properties and collective excitations in a graphene bilayer. The static screening effect is anisotropic and is much stronger in the undoped graphene bilayer than in a monolayer graphene [1]. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Xue-Feng Wang , Tapash Chakraborty

Gapless spectrum of graphene allows easy spatial separation of electrons and holes with an external in-plane electric field. Guided collective plasmon modes can propagate along the separation line, whose amplitude decays with the distance…

Mesoscale and Nanoscale Physics · Physics 2012-05-23 N. M. Hassan , V. V. Mkhitaryan , E. G. Mishchenko

The nature of electron correlations in bilayer graphene has been investigated. An analytic expression for the radial distribution function is derived for an ideal electron gas and the corresponding static structure factor is evaluated. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 D. S. L. Abergel , Tapash Chakraborty

The screening properties and collective excitations (plasmons) in AA-stacked bilayer graphene are studied within the random phase approximation (RPA). Whereas long lived plasmons in single layer graphene and in AB-stacked bilayer graphene…

Mesoscale and Nanoscale Physics · Physics 2013-09-19 Rafael Roldan , Luis Brey

We calculate 1-loop polarization in bilayer graphene in the 4-band approximation for arbitrary values of frequency, momentum and doping. At low and high energy our result reduces to the polarization functions calculated in the 2-band…

Strongly Correlated Electrons · Physics 2015-03-19 O. V. Gamayun

We have studied the temperature effect on collective excitations in biased bilayer graphene within random-phase approximation. From the zeros of temperature dynamical dielectric function of the system we have found one weakly damped plasmon…

Mesoscale and Nanoscale Physics · Physics 2021-03-09 Nguyen Van Men , Nguyen Quoc Khanh , Dong Thi Kim Phuong

The dynamical dielectric function of two dimensional graphene at arbitrary wave vector $q$ and frequency $\omega$, $\epsilon(q,\omega)$, is calculated in the self-consistent field approximation. The results are used to find the dispersion…

Strongly Correlated Electrons · Physics 2008-05-19 E. H. Hwang , S. Das Sarma

Graphene is a novel two-dimensional material with fascinating electrodynamic properties like the ability to support collective electron oscillations (plasmons) accompanied by tight confinement of electromagnetic fields. Our goal is to…

Mesoscale and Nanoscale Physics · Physics 2013-03-15 Marinko Jablan

We consider the effect of periodic scalar and vector potentials generated by periodic deformations of the graphene crystal lattice, on the energy spectrum of electrons. The dependence of electron velocity near the Dirac point on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 V. K. Dugaev , M. I. Katsnelson

The tight-binding model is closely associated with the modified layer-based random-phase approximation to thoroughly investigate the electron-electron interactions in sliding bilayer graphene. The Coulomb interactions and intralayer and…

Mesoscale and Nanoscale Physics · Physics 2023-03-13 Chiun-Yan Lin , Ming-Fa Lin

The one-loop polarization function of graphene has been calculated at zero temperature for arbitrary wavevector, frequency, chemical potential (doping), and band gap. The result is expressed in terms of elementary functions and is used to…

Strongly Correlated Electrons · Physics 2008-12-12 P. K. Pyatkovskiy

We investigate the plasmon dispersion relation and damping rate of collective excitations in a double-layer system consisting of bilayer graphene and GaAs quantum well, separated by a distance, at zero temperature with no interlayer…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Nguyen Van Men , Nguyen Quoc Khanh

We study collective plasmon excitations and screening of disordered single- and bilayer black phosphorus beyond the low energy continuum approximation. The dynamical polarizability of phosphorene is computed using a tight-binding model that…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Fengping Jin , Rafael Roldán , Mikhail I. Katsnelson , Shengjun Yuan

Plasma oscillations in doped graphene bilayer at zero temperature has been investigated. Bias voltage effect on the dispersion curve for plasmon in bigraphene has been studied in random phase approximation. The possibility of controlling of…

Mesoscale and Nanoscale Physics · Physics 2018-07-24 E. I. Kukhar , S. V. Kryuchkov

The tight-binding model of electrons in graphene is reviewed. We derive low-energy Hamiltonians supporting massless Dirac-like chiral fermions and massive chiral fermions in monolayer and bilayer graphene, respectively, and we describe how…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Edward McCann

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…

Using the renormalized-ring-diagram approximation, we study the compressibility of the interacting electrons in bilayer graphene. The compressibility is equivalent to the spin susceptibility apart from a constant factor. The chemical…

Strongly Correlated Electrons · Physics 2015-05-27 Xin-Zhong Yan , C. S. Ting
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