Mobility Change through Temperature-Dependent Mass in Semiconductors

If the energy of conduction electrons in a semiconductor is connected with the wave vector by a relation \(E(k){=}(\hbar^{2}/2m)(k^{2}-\beta k^{4})\), the mobility becomes temperature-dependent through the change of the effective mass with increasing temperature. In the present paper we estimate the mobility change through temperature-dependent mass by using a simple model for semiconductors. According to our result the effect does not seem to be important.