A New Method for Solving the Boltzmann Equation for Electrons in Crystals

✍ Scribed by A. Seeger; K. Clausecker

• Publisher: John Wiley and Sons
• Year: 1971
• Tongue: English
• Weight: 662 KB
• Volume: 46
• Category: Article
• ISSN: 0370-1972
• DOI: 10.1002/pssb.2220460112

✦ Synopsis

Abstract

A new method for solving the linearized Boltzmann equation, based on the combination of Fourier and degenerate kernel techniques, is developed. It permits to reduce the transport problem for electrons in crystals with arbitrary energy surfaces to a system of linear equations for scattering both by phonons in metals and by localized defects. The transport coefficients, in the absence or presence of magnetic fields of all strengths of practical interest, may be expressed in terms of the solutions of the system of linear equations and quantities characterizing the energy bands of the crystal.