Monte Carlo calculations of transport parameters of one-dimensional hot electrons in quantum-well wires

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Abstract
Monte Carlo calculations of hot-electron drift velocity, average energy, and diffusion coefficient are reported for the one-dimensional electron gas in a GaAs quantum-well wire of square cross section with side length L. Electron scattering by acoustic and longitudinal polar optic phonons is included. The transport parameters are found to rise more rapidly with electric field for L=160 Å than for L=40 Å, particularly at a lower ambient temperature. Einstein’s relationship is shown to underestimate the hot-electron diffusivity for r=160 Å.