Fractional quantized Hall effect in a quasi one dimensional conductor.

When the magnetic field is not aligned along one of the symmetry axis of a quasi 1D conductor, the electronic motion is periodic only for special values of the field orientation. For these values, a cascade of Spin Density Wave subphases is expected as the field increases. In each subphase the Hall conductivity is fractionally quantized sigma sub (xy) = pe sup 2 /qh. q depends on the orientation of the field and p depends on its amplitude. The electron motion involves large orbits which spread over q unit cells. The integer quantization of these orbits implies a fractional quantization of the density of carriers.