2.4.2 Analytical Band Structure

The full band structure gives a rather complete information about behavior of an electron in a given lattice. The determination of the band structure and its use in modeling problems are intricate problems. However, in many important physical phenomena only a small part of the Brillouin zone plays an essential role. This small part of the first Brillouin zone corresponds to energy levels near the bottom or top of some energy band. It turns out that for the description of the dispersion law in the vicinity of bands extrema it is possible to construct analytical expressions using only few parameters.
Subsections

2.4.2.1 Effective Mass Tensor
2.4.2.2 Nonparabolic Band Structures
2.4.2.3 Analytical Band Structures of Si and Ge
2.4.2.4 Herring-Vogt Transformation

S. Smirnov:


Previous: 2.4.1.3 Band Structure Periodicity Up: 2.4 Band Structure Next: 2.4.2.1 Effective Mass Tensor