Abstract
The Lei-Ting balance-equation method for high-field electron transport in semiconductors has recently been extended to general energy bands by several authors with different results. We present a test of these extensions, especially those proposed by Lei [Phys. Status Solidi B 170, 519 (1992)] and by Huang and Wu [Phys. Rev. B 49, 2223 (1994)], by applying them to superlattice miniband transport. It is shown that except for Lei's nonparabolic method, none of them is able to produce the well-established negative differential mobility of the Esaki-Tsu type in the vertical conduction of a semiconductor superlattice. Some confusions concerning the nature of the distribution functions in the balance-equation theory are discussed.
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