Magnetic field effects on slab surface plasmons in the local limit

Horing, Norman J. M.; Yildiz, M.

doi:10.1016/0375-9601(73)90834-7

Cited by 34 publications

(8 citation statements)

References 8 publications

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“…With the introduction of a finite magnetic field (B = 0) perpendicular to a normal 2DEG [15][16][17] at zero temperature (which was also discussed in the 2008 Summer Institute), there are significant changes in the normal 2DEG PHES spectrum. Figure 2a exhibits the bare, unscreened 2DEG spectrum corresponding to the noninteracting density autocorrelation function given by ( B ≡ [eB] −1/2 = magnetic length; ω c is the cyclotron frequency):…”

Section: Wwwcpp-journalorgmentioning

confidence: 99%

Quantum Theory of Solid State Plasma Dielectric Response

Horing

2010

Contrib. Plasma Phys.

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We review the quantum mechanical derivation of the random phase approximation (RPA) for solid state plasmas, starting from the Hamilton equations for canonically paired "second quantized" creation and annhilation field operators of interacting quantum many-body systems. Discussing variational differentiation, the coupled equations of motion for the quantum field operators are derived. The concept of Green's functions is reviewed and interpreted, first for retarded Green's functions, and their equations of motion are developed from the equations of motion for the field operators. Thermodynamic Green's functions are discussed, and their periodicity/antiperiodicity properties in imaginary time are carefully examined with discussion of Matsubara Fourier series and representation in terms of a spectral weight function. The analytic continuation from imaginary time to real time is treated. Finally, we define nonequilibrium Green's functions and discuss the linearized timedependent Hartree approximation leading to the random phase approximation. An interesting application to the case of Graphene in a perpendicular magnetic field is discussed in detail, along with applications to normal systems, in terms of attendant phenomenology involving electron-hole pair excitations and plasmons.

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Section: Wwwcpp-journalorgmentioning

confidence: 99%

Quantum Theory of Solid State Plasma Dielectric Response

Horing

2010

Contrib. Plasma Phys.

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“…These are waves that exist due to collective motion of free charges, and they may propagate in the microwave 6,8,9 , terahertz 1,5,10,11 , and infra-red frequency 3,4 ranges. Initial theoretical studies have concentrated on dispersion relations and resonance frequencies of gated and ungated two-dimensional (2D) plasmons [12][13][14] , magnetoplasmons 15 , and edge (magneto-)plasmons 16,17 . There has recently been an upsurge of interest in plasmon scattering at discontinuities, such as those formed by interfaces between 2D systems with two different carrier densities [18][19][20] , between a gated and an ungated system [21][22][23] , or by edges 18,24 and electric contacts 25 .…”

Section: Introductionmentioning

confidence: 99%

Scattering-induced amplification of two-dimensional plasmons: Electromagnetic modeling

Zonetti

Siaber

Cunningham

et al. 2021

Journal of Applied Physics

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Using two rigorous electromagnetic approaches, we study plasmon scattering in twodimensional systems and show that plasmon amplification is possible in the presence of dc currents. Two scenarios are considered: plasmon scattering from an interface between different two-dimensional channels and plasmon reflection from electric contacts of arbitrary thickness. In each case, the effect of a dc current of the plasmon reflection and transmission coefficients, and the plasmon power are both quantified. A resonant system is studied where plasmon roundtrip gain may exceed unity, showing the possibility of plasmon generation.

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“…Their theory was applied to a 2DEG by Chiu and Quinn [8]. Horing and Yildiz [9,10] also developed a quantum theory of longitudinal dielectric response properties of a 2DEG in a magnetic field. Zhang and Gumbs [11] calculated the correlations and local field corrections for 2DEG in a strong magnetic field and also obtained dispersion relations of longitudinal magnetoplasmons.…”

Section: Introductionmentioning

confidence: 99%

Magnetic Induction Dependence of the Dispersion of Magnetoplasmon in a Two-Dimensional Electron Gas With Finite Layer Thickness

Uchida

Hiraiwa

Yamada³

et al. 2014

Int. J. Mod. Phys. B

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Magnetic induction dependence of the dispersion of longitudinal magnetoplasmon in a twodimensional electron gas with finite layer thickness under a static uniform magnetic field normal to the layer plane is calculated using the self-consistent linear response approximation. Two longitudinal magnetoplasmon modes are obtained. The calculated dispersion agrees with the experiment by Batke et al. [Phys. Rev. B 34, 6951 (1986)].

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Magnetic field effects on slab surface plasmons in the local limit

Cited by 34 publications

References 8 publications

Quantum Theory of Solid State Plasma Dielectric Response

Quantum Theory of Solid State Plasma Dielectric Response

Scattering-induced amplification of two-dimensional plasmons: Electromagnetic modeling

Magnetic Induction Dependence of the Dispersion of Magnetoplasmon in a Two-Dimensional Electron Gas With Finite Layer Thickness

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