Second‐order response of a uniform three‐dimensional electron gas to a longitudinal electric field

Mikhaǐlov, S. A.

doi:10.1002/andp.201100260

Cited by 10 publications

(11 citation statements)

References 32 publications

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“…0 (q), without invoking Y 0 (k, q) and Z 0 (k, k , q), but by directly expanding the induced density at harmonics. The recursion relations derived by Mikhailov [19,106] are…”

Section: Noninteracting Casementioning

confidence: 99%

Density Response of the Warm Dense Electron Gas beyond Linear Response Theory: Excitation of Harmonics

Dornheim,

Böhme,

Moldabekov

et al. 2021

Preprint

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“…0 (q), without invoking Y 0 (k, q) and Z 0 (k, k , q), but by directly expanding the induced density at harmonics. The recursion relations derived by Mikhailov [19,106] are…”

Section: Noninteracting Casementioning

confidence: 99%

Density Response of the Warm Dense Electron Gas beyond Linear Response Theory: Excitation of Harmonics

Dornheim,

Böhme,

Moldabekov

et al. 2021

Preprint

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“…Second order effects have been investigated for specific contexts in Refs. [7,8,30] where one uses the diagonalization of the unperturbed Hamiltonian. Here we investigate how changes in dynamical activity influence the second order response.…”

Section: B Second Order Dielectric Responsementioning

confidence: 99%

“…Nevertheless there is a large research literature on second and nonlinear order response albeit mostly restricted to specific models or computational schemes. References include [3][4][5][6][7][8][9][10]. The present paper takes a different perspective following Refs.…”

Section: Introductionmentioning

confidence: 99%

Frenetic aspects of second order response

Basu

Krüger

Lazarescu

et al. 2015

Phys. Chem. Chem. Phys.

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Starting from the second order around thermal equilibrium, the response of a statistical mechanical system to an external stimulus is not only governed by dissipation and depends explicitly on dynamical details of the system. The so called frenetic contribution in the second order around equilibrium is illustrated in different physical examples, such as for non-thermodynamic aspects in the coupling between a system and reservoir, for the dependence on disorder in the dielectric response and for the nonlinear correction to the Sutherland-Einstein relation. More generally, the way in which a system's dynamical activity changes by perturbation is visible (only) from the nonlinear response.

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“…For a 2D electron gas it was derived in Ref. [14], see also [15]. In the general case of any dimensionality it assumes the form…”

mentioning

confidence: 99%

Nonlinear Electromagnetic Response of a Uniform Electron Gas

2014

Phys. Rev. Lett.

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The linear electromagnetic response of a uniform electron gas to a longitudinal electric field is determined, within the self-consistent-field theory, by the linear polarizability and the Lindhard dielectric function. Using the same approach we derive analytical expressions for the second-and third-order nonlinear polarizabilities of the three-, two-and one-dimensional homogeneous electron gases with the parabolic electron energy dispersion. The results are valid both for degenerate (Fermi) and non-degenerate (Boltzmann) electron gases. A resonant enhancement of the second and third harmonics generation due to a combination of the single-particle and collective (plasma) resonances is predicted. 71.10.Ca, 73.20.Mf, 42.65.Ky The interaction of the electromagnetic radiation with a gaseous or solid-state plasma is well described, within the linear-response theory, by the Lindhard dielectric function ǫ(q, ω) [1]. Being originally derived for a three-dimensional (3D) uniform electron gas [1], it was generalized to the two-(2D) and one-dimensional (1D) electron systems by Stern [2] and Das Sarma with coauthors [3]. In this theory electronelectron interaction is taken into account within the selfconsistent mean-field approach which is equivalent [4] to the random phase approximation (RPA). This theory was shown to be very accurate in describing the electromagnetic response and plasma oscillations of the uniform electron gas [5], both in 3D, and in lower dimensions -in semiconductor quantumwell, -wire, and -dot structures, see, e.g., [6][7][8].The nonlinear electromagnetic response of a uniform electron gas in low-dimensional systems is studied in much less detail. A possible reason for that consisted in the low quality of solid-state structures: while in the gaseous plasma collisions of electrons and ions do not play a significant role, which allows one to observe the nonlinear phenomena in relatively low external electric fields, in solids the scattering and disorder effects were quite strong which required very large electric fields and hindered the observation of the nonlinear phenomena.The progress of semiconductor technology changed this situation in recent years. It has become possible to create semiconductor GaAs/AlGaAs quantum-well structures with the electron mobility µ ≃ 3 × 10 7 cm 2 /Vs [9] which corresponds to the electron mean-free-path comparable with the sample dimensions (l m f p ≃ 1 − 2 mm). In such systems a strongly nonlinear electrodynamic effect -the giant microwave induced magnetoresistance oscillations manifesting themselves in relatively low ac electric fields ( 1 V/cm) -was recently discovered [10,11] and attracted much attention (for an overview of the state of the art and further references see [12]). The experiments [10,11] have been explained [12,13] by the influence of ponderomotive forces, which are usually very small in the fields ≃ 1 V/cm but become sufficiently strong in the ultra clean samples [9][10][11], especially near internal electron resonances (near the cyclotron resonance ...

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Second‐order response of a uniform three‐dimensional electron gas to a longitudinal electric field

Cited by 10 publications

References 32 publications

Density Response of the Warm Dense Electron Gas beyond Linear Response Theory: Excitation of Harmonics

Density Response of the Warm Dense Electron Gas beyond Linear Response Theory: Excitation of Harmonics

Frenetic aspects of second order response

Nonlinear Electromagnetic Response of a Uniform Electron Gas

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