In that case, replace Q by Q/ε, where ε is the relative permittivity due to these other contributions. Note that there may be dielectric permittivity in addition to the screening discussed here for example due to the polarization of immobile core electrons. we note that the often used long-wavelength screening approximation (i.e. In principle, it does not rely on linear response theory. With k 0=0 (no screening), this becomes the familiar Coulomb's law. First, the Thomas-Fermi screening is a semiclassical static theory which assumes that the total potential (r) varies slowly in the scale of the Fermi length l F, the chemical potential is constant and that T is low. The Thomas-Fermi wavevector (in Gaussian-cgs units) is k 0 2 = 4 π e 2 ∂ n ∂ μ ( cgs-Gaussian) It is a special case of the more general Lindhard theory in particular, Thomas–Fermi screening is the limit of the Lindhard formula when the wavevector (the reciprocal of the length-scale of interest) is much smaller than the fermi wavevector, i.e. 1 It is named after Llewellyn Thomas and Enrico Fermi. Thomas–Fermi screening is a theoretical approach to calculating the effects of electric field screening by electrons in a solid. It is a special case of the more general Lindhard theory in particular, ThomasFermi screening is the limit of the Lindhard formula when the wavevector (the reciprocal of the length-scale of interest) is much smaller than the fermi wavevector, i.e.
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