Semiclassical fluid model of nonlinear plasmons in doped graphene

Eliasson, Bengt; Liu, Chuan Sheng

doi:10.1063/1.5010402

Cited by 5 publications

(3 citation statements)

References 61 publications

(91 reference statements)

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“…Here, the transport parameters [19] are related to the coefficients of f 1 . The change in the energy state is defined by the change in Fermi levels, which generates conductivity [52]. We put the values of f (equation ( 11)) in the equation ( 9)…”

Section: Conclusion and Future Perspectivesmentioning

confidence: 99%

Simulation of a plasmonic sensor using kinetic theory of plasma with the Vlasov equation in MATLAB

Khulbe

2023

J. Opt.

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This research proposes mathematical model for a plasmonic sensor using kinetic theory of Plasma with Vlasov equation. A Nano antenna cavity of a plasmonic material is driven by an input Electromagnetic wave which changes charge density and current flow in the cavity resulting in the change in Fermi distribution function of the charge particles. The results are achieved in terms of current density and conductivity solving Boltzmann Transport equation, Maxwell’s equations, and Taylor series expansion in terms of perturbed electric fields with linear Integro differential equations. The results are simulated using Matlab. The changes in current density and conductivity are validated by experimental analysis of Graphene plasmonic material using patch antenna with dielectrics substrates SiO2 and Al2O3.By varying the applied electric fields current changes at the output of the plasmonic antenna is analyzed using signal processing techniques. Wavelet Transforms are used to find the space scale behavior of the output signals such as current density variation, voltage variation, susceptibility change with sub band coding techniques in terms of wavelet coefficients.

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Section: Conclusion and Future Perspectivesmentioning

confidence: 99%

Simulation of a plasmonic sensor using kinetic theory of plasma with the Vlasov equation in MATLAB

Khulbe

2023

J. Opt.

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“…For the typical experimental values ε r = 2.5 and n 0 ∈ [5 × 10 −3 , 1] × 10 12 cm −2 , ω p lies in the THz-region, ω p ∈ [2.6, 37.3] THz. The first term ω ∼ √ q describes the long wavelength signature of plasmons in twodimensional electron gases (2DEG) [36][37][38][39]. The most notable difference, when compared to the characteristic plasmon frequency in the 3-dimensional parabolic case, ω 3D p = e 2 n 0 /(ε 0 ε r m), is the appearance of in leading order, revealing its pure quantum nature.…”

Section: Wigner Formalismmentioning

confidence: 99%

Wigner-Weyl description of massless Dirac plasmas

Figueiredo,

Bizarro,

Terças

2020

Preprint

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We derive a quantum kinetic model describing the dynamics of graphene electrons in phase space based on the Wigner-Moyal procedure. In order to take into account the quantum nature of the carriers, we start from the low-energy Schrödinger equation describing the mean-field wavefunction for both the conduction and valence electrons. The equation of motion for the Wigner matrix is established, with the Coulomb interaction being introduced self-consistently (in the Hartree approximation). The long wavelength limit for the plasmon dispersion relation is obtained, for both ungated and gated situations. As an application, we derive the corresponding hydrodynamical equations and add discuss the correct value of the effective hydrodynamic mass of the carriers from first principles, an issue that is crucial in the establishment of the correct hydrodynamics of Dirac electrons, thus paving the stage towards a more comprehensive description of graphene plasmonics.

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“…In a typical material this can happen only at extremly large optical intensities so there is a constant search for materials with nonlinear response at low intensities. Recently there was a lot of interest in the nonlinear response of plasmons in graphene [5][6][7][8][9][10][11][12][13][14][15][16][17]. Particularly it was shown that graphene has a strong nonlinear response in the form of multiplasmon absorption at very low intensities [7].…”

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confidence: 99%

Quasiclassical nonlinear plasmon resonance in graphene

Jablan

2020

Phys. Rev. B

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The field of nonlinear optics could lead to ultrafast information processing devices however it usually requires huge optical intensities. In addition, mathematical problems in the field are notoriously complicated with only recently Fields medal being awarded for the solution of nonlinear Landau damping in classical plasma. Here we analyze the response of graphene to strong electromagnetic field oscillating slowly in space and time. Interband transitions are solved within the Landau-Zener model and lead to quasiclassical nonlinear Landau damping of plasmons. Dissipated power at low field shows exponential growth with the field strength typical of quasiclassical tunneling, and saturation effect at the onset of Klein tunneling for large fields. However dominant nonlinearity is caused by the intraband electron motion, with a dramatic enhancement of nonlinear response when the plasmon phase velocity approaches the resonance with the electron Fermi velocity. This extreme sensitivity on the field strength could be used for new terahertz technologies. * Electronic address: mjablan@phy.hr

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Semiclassical fluid model of nonlinear plasmons in doped graphene

Cited by 5 publications

References 61 publications

Simulation of a plasmonic sensor using kinetic theory of plasma with the Vlasov equation in MATLAB

Simulation of a plasmonic sensor using kinetic theory of plasma with the Vlasov equation in MATLAB

Wigner-Weyl description of massless Dirac plasmas

Quasiclassical nonlinear plasmon resonance in graphene

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