Transcription of Chapter 6 ELECTRON TRANSPORT - Stony Brook …
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Chapter 6 ELECTRON TRANSPORT - Stony Brook …
Chapter 6. ELECTRON TRANSPORT . P. B. Allen 1. INTRODUCTION. A voltage gradient ( rF E) drives an ELECTRON current (j sE; where s is the conductivity). Many mechanisms of ELECTRON TRANSPORT are known. (1) Electronic quasiparticle propagation, the rst known mechanism, studied by Drude [1], and improved by Sommerfeld [2,3], Bloch [4], Landau [5], and others. The current is given by eX. j vk F k (1). V k where F k is the distribution function ( the non-equilibrium occupation) of the quasiparticle state k (short for: k; n; s) which has energy k and group velocity vk @ k =@ _k ; and V the sample volume.
sðtÞ must vanish for negative t; from which the Fourier relation Eq. (4) becomes sðoÞ¼ R1 0 dtsðtÞexpðiotÞ: Now let us regard sðoÞ as a function of a complex o: When Im½o 40 (that is, in the upper half o-plane) the integral converges abso-
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