The Effective Mass of Electrons in Crystals
作者:
C. Kittel,
期刊:
American Journal of Physics
(AIP Available online 1954)
卷期:
Volume 22,
issue 5
页码: 250-252
ISSN:0002-9505
年代: 1954
DOI:10.1119/1.1933711
出版商: American Association of Physics Teachers
数据来源: AIP
摘要:
The transfer of momentum between a conduction electron and a crystal lattice is examined in detail. By physical considerations we are led to the expression(mm*)ij = δij+∑GGiδδkj|aG(k)|2for the reciprocal effective mass tensor, whereGis2πtimes a reciprocal lattice vector andaG(k)is a coefficient in the momentum representation of the Bloch eigenfunction:ψk = ∑GaG(k) exp[i(G+k)·r]. This expression for the effective mass tensor is shown to be completely equivalent to the usual definition.
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