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Interpolation between the ballistic and Boltzmann transport regimes for elastically scattered free electrons in a wire



A useful ansatz for the zero-temperature conductance of elastically scattered free electrons or! a Straight line is identified. The ansatz is generalized to apply tb a three-dimensional wire containing an N-dimensional electron gas of the length l with N=1,2, or 3. It determines all the macroscopic transport-coefficients of the wire at all temperatures and provides a formula for the average transmission coefficient of the one-dimensional modes involved in the Boltzmann regime: (T) over bar=g(N)epsilon(F)/Delta epsilon(k(F)l) where g(N)=4,pi and 2.66 when N=1,2, and 3, respectively. [S0163-1829(98)08935-8]

Topics: QC
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