Abstract
We present a quantum transport theory for a quasi-one-dimensional (Q1D) interacting electron-impurity system which emphasizes the subband effects. A detailed analysis is given for the evaluation of the screened impurity potential and the density relaxation matrices due to the presence of many subbands, and this forms an important part of the calculation of the dc conductivity. We show that the peak of the Q1D density of states in the free-electron model causes the dc conductance to vanish whenever the Fermi energy crosses the bottom of a subband and we demonstrate that at T=0 the free-electron model is inadequate for the study of Q1D transport. However, we show also that this sharp drop of the dc conductance due to the subband effect is greatly smoothed by the combined effects of the broadening and screening due to the electron-electron interactions. Our theory is in qualitative agreenment with results from the recent experiment of Ismail et al. [J. Vac. Sci. Technol. B 7, 2025 (1989)].
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