THE BLOCH-GRUNEISEN REGIME IN A ONE-DIMENSIONAL ELECTRON-GAS

The momentum relaxation of one-dimensional electrons scattered by acou stic phonons has been investigated in the Bloch-Gruneisen temperature range. The temperature dependence of mobility follows the same, mu pro portional to T-5 (for deformation acoustic interaction) and mu not con gruent to T-3 (for piezoelectric interaction), power laws as known for two-dimensional and three-dimensional Fermi gases. The calculations p erformed estimate mu to be similar to 10(8) cm(2) V-1 s(-1) at T appro ximate to 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.