The momentum relaxation of one-dimensional electrons scattered by acoustic phonons has been investigated in the Bloch-Gr üneisen temperature range. The temperature dependence of mobility follows the same, µ ∝ T −5 (for deformation acoustic interaction) and µ ∝ T −3 (for piezoelectric interaction), power laws as known for two-dimensional and three-dimensional Fermi gases. The calculations performed estimate µ to be ∼10 8 cm 2 V −1 s −1 at T ≈ 1 K and at low electron concentrations. The specific feature of a one-dimensional gas is an intermediate temperature region, where an exponential temperature dependence of mobility is traced.
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