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Lindhard theory : ウィキペディア英語版
Lindhard theory
Lindhard theory〔J. Lindhard, K. Dan. Vidensk. Selsk. Mat. Fys. Medd. 28, 8 (1954)〕〔N. W. Ashcroft and N. D. Mermin, ''Solid State Physics'' (Thomson Learning, Toronto, 1976)〕 is a method of calculating the effects of electric field screening by electrons in a solid. It is based on quantum mechanics (first-order perturbation theory) and the random phase approximation.
Thomas–Fermi screening can be derived as a special case of the more general Lindhard formula. 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. the long-distance limit.〔
This article uses cgs-Gaussian units.
== Formula ==
Lindhard formula for the longitudinal dielectric function is given by
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Here, V_q is V_(q) - V_(q) and f_k is the carrier distribution function which is the Fermi–Dirac distribution function (see also Fermi–Dirac statistics) for electrons in thermodynamic equilibrium.
However this Lindhard formula is valid also for nonequilibrium distribution functions.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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