Abstract
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.
| Original language | English |
|---|---|
| Journal | Journal of the Korean Physical Society |
| Volume | 29 |
| Issue number | SUPPL. Part 1 |
| Publication status | Published - 1996 Dec 1 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
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Momentum distribution function of a narrow hall bar in the FQHE regime. / Yang, Sung Ryul; Mitra, Sami; MacDonald, A. H.; Fisher, M. P A.
In: Journal of the Korean Physical Society, Vol. 29, No. SUPPL. Part 1, 01.12.1996.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Momentum distribution function of a narrow hall bar in the FQHE regime
AU - Yang, Sung Ryul
AU - Mitra, Sami
AU - MacDonald, A. H.
AU - Fisher, M. P A
PY - 1996/12/1
Y1 - 1996/12/1
N2 - 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.
AB - 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.
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M3 - Article
VL - 29
JO - Journal of the Korean Physical Society
JF - Journal of the Korean Physical Society
SN - 0374-4884
IS - SUPPL. Part 1
ER -