Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phenomenological models of dielectric functions and screened Coulomb
  potential   The evolution of static dielectric constants and polarization with doping are
analyzed and discussed using established experimental results. The variation of
screened Coulomb potential with doping is derived theoretically to justify the
said evolutions. The latter justification arises due to the influence of
ionization energy ($\mathcal{E_I}$) on the static dielectric functions. The
bare Coulomb potential and the Thomas-Fermi screened potential with finite
carrier density were recovered when $\mathcal{E_I} \to \infty$ and
$\mathcal{E_I} \to E_F^0$ respectively. Basically, these phenomenological
models are associated with the ionization energy based Fermi-Dirac statistics
(iFDS).

16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph