Page 193 - Semiconductor For Micro- and Nanotechnology An Introduction For Engineers

Statistics
5.5 Summary for Chapter 5
The concept of an ensemble allows us to tie many-particle model behav-
ior to that of thermodynamics. Each subsequent ensemble introduces a
further thermodynamic state variable, generalizing the concept. In order
to handle the extraordinary large number of system states that this view
presents, we need to evaluate the partition functions. For this, the particle
statistics are introduced. One important result of this section is a method
with which to obtain the density of states as a function of either k-space,
or of energy. Armed with such an expression, we can describe the behav-
ior of many-particle systems in a very compact manner. At the end of the
chapter we have a good description for the population (the effective den-
sity of states) of charge carriers in the conduction and valence bands of
silicon.

5.6 References for Chapter 5

5.1 F. Reif, Fundamentals of Statistical and Thermal Physics,
McGraw-Hill (1965)
5.2 K Huang, Statistical Mechanics, John Wiley & Sons, New York
(1987)
5.3 P.S.Kireev, Semiconductor Physics, MIR Publishers Moscow
(1978)

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