TY - JOUR
T1 - Momentum distribution function of a narrow hall bar in the FQHE regime
AU - Yang, S. R.Eric
AU - Mitra, Sami
AU - MacDonald, A. H.
AU - Fisher, M. P.A.
PY - 1996
Y1 - 1996
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 ±MkF. We find that for narrow Hall bars additional singularities occur at smaller odd integral multiples of kF: n(k) ∼ Ap|k±pkF|2Δp-1 near k = ±PkF, where p is an odd integer M, M - 2, M 4, ..., 1. If inter-edge interactions can be neglected, the exponent 2ΔP = (1/v+p2v)/2 is independent of the width (w) of the Hall bar but the amplitude of the singularity Ap 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 ±MkF. We find that for narrow Hall bars additional singularities occur at smaller odd integral multiples of kF: n(k) ∼ Ap|k±pkF|2Δp-1 near k = ±PkF, where p is an odd integer M, M - 2, M 4, ..., 1. If inter-edge interactions can be neglected, the exponent 2ΔP = (1/v+p2v)/2 is independent of the width (w) of the Hall bar but the amplitude of the singularity Ap vanishes exponentially with w for p ≠ M.
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M3 - Article
AN - SCOPUS:0030521702
VL - 29
SP - S10-S12
JO - Journal of the Korean Physical Society
JF - Journal of the Korean Physical Society
SN - 0374-4884
IS - SUPPL. Part 1
ER -