Magnetoconductivity tensor of a two dimensional plasma in quantizing magnetic field

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

doi:10.1016/0375-9601(74)90202-3

Cited by 26 publications

(3 citation statements)

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“…Moreover, Huber, et al [27] observed the temporal development of the dielectric function in a laser-excited semiconductor experimentally, which was verified theoretically in a nonequilibrium extension of the RPA by Banyai, et al [28] In regard to the finite temperature dependence of RPA dielectric functions, there are good discussions in the relatively recent books of Kremp, et al [29], and of Bonitz [30]. This particular subject reaches back to the "grandfather" paper of Martin and Schwinger [5] (in which the temperature dependence is implicit in the Fermi/Bose distribution function) and, in the case of a magnetic field, to the early papers of Horing [9] for 3D Landau quantized solid state plasmas, and of Horing & Yildiz [16,17] for the corresponding 2D case. Other developments over the years are discussed in many textbooks on many-particle theory.…”

Section: Discussionmentioning

confidence: 98%

“…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%

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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: Discussionmentioning

confidence: 98%

Section: Wwwcpp-journalorgmentioning

confidence: 99%

Quantum Theory of Solid State Plasma Dielectric Response

Horing

2010

Contrib. Plasma Phys.

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“…Considering both nonlocality and a normal magnetic field,ε 0 (q z ,q; ω) has been determined in the 3D "ring diagram" random phase approximation [6], and the 2D ring diagram RPA was used to determine α 2D (q, ω) [7][8][9][10]. A simpler "hydrodynamic" model [11] which incorporates the roles of both magnetic field and nonlocality is also available.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal dielectric response of an N‐quantum‐well superlattice embedded in bulk and semi‐infinite plasmas in magnetic field

Horing

Ayaz

2007

Phys. Status Solidi (c)

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We derive explicit analytic results for the dynamic, nonlocal and inhomogeneous screening functions of a finite superlattice array of N equally spaced 2D quantum well plasmas embedded in infinite and semiinfinite host bulk-plasma-like media. The closed-form results presented here for the screening functions, which are space-time matrix inverses of the spatially inhomogeneous dielectric functions, are valid for any number of wells, and can accomodate nonlocality in both the 2D and host plasmas, as well as an ambient normal magnetic field.1 Introduction The most useful description of the dielectric response of a nonlocal, dynamic and inhomogeneous solid state plasma is provided by the screening function K( r, t; r , t ), which relates an impressed potential U (2) = U ( r 2 , t 2 ) to the effective potential V (1) = V ( r 1 , t 1 ) as V (1) = d2K(1, 2)U (2). K is the space-time matrix inverse of the direct dielectric function ε(1, 2) in the sense d3ε(1, 3)K(3, 2) = δ(1 − 2). Here, we solve for K(1, 2) for a N -quantum well system embedded in infinite and semi-infinite host plasmas. Since the system is translationally invariant in the x − y plane, we Fourier transform in the plane to a 2D wavevectorp, and in time to frequency ω. With this, the inversion relation can be rewritten as a RPA-type integral equation in z-variables as (suppress q, ω)

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Quantum Effects in Plasma Dielectric Response: Plasmons and Shielding in Normal Systems and Graphene

Horing

2010

Introduction to Complex Plasmas

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Magnetoconductivity tensor of a two dimensional plasma in quantizing magnetic field

Cited by 26 publications

References 1 publication

Quantum Theory of Solid State Plasma Dielectric Response

Quantum Theory of Solid State Plasma Dielectric Response

Nonlocal dielectric response of an N‐quantum‐well superlattice embedded in bulk and semi‐infinite plasmas in magnetic field

Quantum Effects in Plasma Dielectric Response: Plasmons and Shielding in Normal Systems and Graphene

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