Basic Semiconductor Physics by Professor Chihiro Hamaguchi (auth.)

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By Professor Chihiro Hamaguchi (auth.)

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This is consistent with the physical model of the cyclotron motion of the electron, where the coordinates (X, Y) represent the cyclotron motion in the plane x-y perpendicular to the magnetic field B. For this reason the coordinates (X, Y) are called the center coordinates of the cyclotron motion. 109b) that ~ and 7] represent the relative coordinates of the cyclotron motion (X, Y). 110b) and the uncertainty principle: LlX LlY = 27rl 2 = - h . 113) eB z This relation is sometimes referred to as the degeneracy in a magnetic field of the eigenstate Eo(7r x , 7ry ,pz).

P perturbation method for (a) Ge and (b) Si, where the spin-orbit interaction is included 6 4 ........... ::::~::::::::::::~:::::::::................................ ____.... -.................................... m",ru:::::::::::::•. _ ~ 2 .................. _.............................................................................. ~O ~ ~ ="=·7'~::~,,'--[000] (e) [000] ~[lOO] (d) Fig. 9. Energy band structures calculated by the k . p perturbation method for (c) GaAs, and (d) InP, where the spin-orbit interaction is included GaAs, which arises from the inter..

2. 1 Cyclotron Resonance Cyclotron resonance has been successfully used to determine the effective masses of electrons in semiconductors. However, the cyclotron resonance has played a very important role in understanding the valence band structures of Ge and Si and later led to an accurate determination of the energy band structures. In this chapter first we will describe the cyclotron resonance experiment and its analysis in order to discuss the anisotropy of the electron effective mass and the many valley structures.

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