Dependence of integrals on dimensionless distance to surface / TF = TF TF metal behaves like metal at long distances and like insulator at short distances. Integrals represent relative magnitude with regard to U at ideal limit TF = 0. Single-body electrostatic energy which has maximum relative error of 0 can bind at most Z+C electrons, where C is a universal constant. In this paper, we study the charge shielding within the relativistic Thomas-Fermi model for a wide range of electron number-densities and the atomic-number of screened ions. The result is CTFC01p1 tanh p/1(1e1)p1 tanh p, with CTFC0. A generalized energy-density relation is obtained using the force-balance equation and taking into account the Chandrasekhars relativistic electron degeneracy pressure. Here C04e0R is the classical geometrical value, pR/l is the ratio of the particle radius R to the ThomasFermi screening length l, and e is the material dielectric constant. where P, is the constant broadening of about 0. The curve denoted n, gives the distribution function for the non-interacting 2DEG at a finite temperature 7, r/A 5.7 K.
* Please keep in mind that all text is machine-generated, we do not bear any responsibility, and you should always get advice from professionals before taking any actions. The solid curve gives n(k) at T0 using the Thomas-Fermi screened interactions whereas the dashed curve gives the result using the short-range model interaction of r.
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