### 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
^{2}v)/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)

### Cite this

*Journal of the Korean Physical Society*,

*29*(SUPPL. Part 1).

**Momentum distribution function of a narrow hall bar in the FQHE regime.** / Yang, Sung Ryul; Mitra, Sami; MacDonald, A. H.; Fisher, M. P A.

Research output: Contribution to journal › Article

*Journal of the Korean Physical Society*, vol. 29, no. SUPPL. Part 1.

}

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.

UR - http://www.scopus.com/inward/record.url?scp=0030521702&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030521702&partnerID=8YFLogxK

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 -