|
Thomas–Fermi screening is a theoretical approach to calculating the effects of electric field screening by electrons in a solid.〔N. W. Ashcroft and N. D. Mermin, ''Solid State Physics'' (Thomson Learning, Toronto, 1976)〕 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. the long-distance limit.〔 The Thomas-Fermi wavevector (in Gaussian-cgs units) is〔 : where μ is the chemical potential (fermi level), ''n'' is the electron concentration and ''e'' is the elementary charge. Under many circumstances, including semiconductors that are not too heavily doped, ''n''∝''e''''μ''/''k''B''T'', where ''k''B is Boltzmann constant and ''T'' is temperature. In this case, : i.e. 1/k0 is given by the familiar formula for Debye length. For more details and discussion, including the one-dimensional and two-dimensional cases, see the article: Lindhard theory. ==Derivation== 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Thomas–Fermi screening」の詳細全文を読む スポンサード リンク
|