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The temperature dependence of the electron mobility in semiconductor quantum wires: fluctuation effects

Electron transport in semiconductor quantum wires with parabolic confined potentials is considered. Non-Markovian Langevin-like equations are derived. A correspondence between the equations obtained and the balance equations for the non-equilibrium steady state is recognized. It is shown that at high temperature the electron mobility remains almost unchanged with increasing temperature. This is due to thermal fluctuations which affect the energy-loss rate via electron - phonon scattering.