PROBLEMS

Lu Yao Wang, Hsien Ching Chung, Ching Hong Ho, Chiun Yan Lin, Chih Wei Chiu, Min-Fa Lin

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Problem 1: The free-carrier screening phenomenon for 3D [1], 2D [2], layered [3] and 1D-nanotube electron gases [4] in the absence of crystal structures occurs through bi-particle electron-electron Coulomb interactions. The self-consistent field random-phase approximation (RPA) [5] is available for fully understanding the linear relations between the effective Coulomb field/potential and the induced charge density fluctuations in the momentum-and energy-transfer spaces. The longitudinal dielectric function, being well defined as the ratio of field/potential/charge density before and after Coulomb perturbations [6], under RPA gives the analytic formulas. (I) Evaluate their imaginary-part dielectric functions [7] and then the real-part ones through the Kramers-Kroning relations [8]. (II) Thoroughly examine the electron-hole excitation ranges [9] and the Landau dampings associated with the inelastic Coulomb scatterings due to the Fermi-momentum states [10]. (III) Plot the (momentum, frequency)-related Coulomb excitation spectra using the whole intensities of energy loss functions [11]. The close relations between the single-and many-particle Coulomb excitations are discussed in detail, e.g., the critical momenta for the emergence and absence of coherent conduction electron oscillations (plasmon modes in Ref. [12]). (IV) The dimensionalityenriched charge screenings cover the total vacant regions [13], the optical or acoustic plasmons at the long-wavelength limit [14] and the coexistence of single-particle and collective excitations [12]. (V) The sensitive dependences of EGS densities can greatly diversify the featured dynamic/static quasiparticle screenings [1-4]. (VI) Check the specific sum rules related to the bare screening response function of Im[? (q, ω)] [11]. Clearly illustrate their physical pictures [15, 16]….

Original languageEnglish
Title of host publicationRich Quasiparticle Properties in Layered Graphene-related Systems
PublisherWorld Scientific Publishing Co.
Pages393-405
Number of pages13
ISBN (Electronic)9789811277795
ISBN (Print)9789811277788
DOIs
Publication statusPublished - 2023 Jan 1

All Science Journal Classification (ASJC) codes

  • General Biochemistry,Genetics and Molecular Biology
  • General Engineering
  • General Physics and Astronomy

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