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Study of Balance Equations for Hot‐Electron Transport in an Arbitrary Energy Band (III)
Author(s) -
Wu HangSheng,
Huang XianXiang,
Weng MingQi
Publication year - 1997
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(199712)204:2<747::aid-pssb747>3.0.co;2-5
Subject(s) - electric field , distribution function , electron , degenerate energy levels , physics , nonlinear system , expression (computer science) , fermi gas , function (biology) , perturbation (astronomy) , distribution (mathematics) , quantum electrodynamics , atomic physics , mathematical analysis , mathematics , quantum mechanics , computer science , evolutionary biology , biology , programming language
By choosing an electron gas resting instead of drifting in the laboratory coordinate system as the initial state, the first‐order perturbation calculation of the previous paper (Part II) is revised and extended to include the higher‐order field corrections in the expression for the frictional forces and the energy transfer rates. The final expressions are formally the same as those in first order in the electric field, but the distribution functions of electrons appearing in them are defined by different expressions. The problems relative to the distribution function are discussed in detail and a new closed expression for the distribution function is obtained. The nonlinear impurity‐limited resistance of a strongly degenerate electron gas is computed numerically. The result calculated by using the new expression for the distribution function is quite different from that using the displaced Fermi function when the electric field is sufficiently high.