Quantum transport in quasi‐one‐dimensional systems

The results of quantum transport investigations in quasi‐one‐dimensional systems assumed to be of cylindrical geometry are presented. Quantum size effect is important when the de Broglie wavelength (λ D ) of confined electrons becomes comparable to radius R 0 of the cylindrical geometry. In the extreme quantum‐limit, λ D ≫ R 0 , the resistivity is found to be proportional to λ 2 D / A , where A = π R 2 0 is the area of cross‐section. Similar behavior is found for electrons confined to a strong magnetic field, λ D ≫ λ = ( hc / eB ) 1/2 , when A = πλ 2 is the area of the cyclotron orbit of radius λ in a magnetic field of strength B . The quantum transport behavior of electrons confined in thin wires is found analogous to those confined in a magnetic field.