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 language | English |
---|---|
Title of host publication | Rich Quasiparticle Properties in Layered Graphene-related Systems |
Publisher | World Scientific Publishing Co. |
Pages | 393-405 |
Number of pages | 13 |
ISBN (Electronic) | 9789811277795 |
ISBN (Print) | 9789811277788 |
DOIs | |
Publication status | Published - 2023 Jan 1 |
All Science Journal Classification (ASJC) codes
- General Biochemistry,Genetics and Molecular Biology
- General Engineering
- General Physics and Astronomy