The momentum distribution function (n(k)) of a narrow Hall bar in the fractional quantum Hall effect regime is investigated using Luttinger liquid and microscopic many-particle wavefunction approaches. For wide Hall bars with filling factor v = 1/M, where M is an odd integer, n(k) has singularities at ±Mk F. We find that for narrow Hall bars additional singularities occur at smaller odd integral multiples of k F: n(k) ∼ A p|k±pk F| 2Δp-1 near k = ±Pk F, where p is an odd integer M, M - 2, M 4, ..., 1. If inter-edge interactions can be neglected, the exponent 2Δ P = (1/v+p 2v)/2 is independent of the width (w) of the Hall bar but the amplitude of the singularity A p vanishes exponentially with w for p ≠ M.
|Journal||Journal of the Korean Physical Society|
|Issue number||SUPPL. Part 1|
|Publication status||Published - 1996 Dec 1|
ASJC Scopus subject areas
- Physics and Astronomy(all)