Momentum Distribution Function of a Narrow Hall Bar in the FQHE Regime

Details Momentum Distribution Function of a Narrow Hall Bar in the FQHE Regime Momentum Distribution Function of a Narrow Hall Bar in the FQHE Regime

2002-12-09

arxiv.org/abs/cond-mat/0212170v1

J. of Korean Phys. Soc. 29, S10 (1996)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Conference paper published in J. Korean Phys. Soc. Vol29, S10 (1996)

Scientific paper

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 $\nu=1/M$, where $M$ is an odd integer, $n(k)$ has singularities at $\pm M k_F$. We find that for narrow Hall bars additional singularities occur at smaller odd integral multiples of $k_F$: $ n(k) \sim A_p \mid k\pm pk_{F} \mid ^{2\Delta_{p}-1}$ near $k=\pm pk_{F}$, where $p$ is an odd integer $M,M-2,M-4,...,1$. If inter-edge interactions can be neglected, the exponent $2 \Delta_{p}= (1/ \nu+p^{2} \nu)/2$ is independent of the width ($w$) of the Hall bar but the amplitude of the singularity $A_p$ vanishes exponentially with $w$ for $p\not=M$.

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