Momentum Distribution Function of a Narrow Hall Bar in the FQHE Regime
| dc.creator | Yang, S. -R. Eric | |
| dc.creator | Mitra, Sami | |
| dc.creator | Fisher, M. P. A. | |
| dc.creator | MacDonald, A. H. | |
| dc.date | 2002-12-09 | |
| dc.date.accessioned | 2026-07-07T09:45:07Z | |
| dc.date.available | 2026-07-07T09:45:07Z | |
| dc.description | 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 $ν=1/M$, 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 ^{2Δ_{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 $2 Δ_{p}= (1/ ν+p^{2} ν)/2$ is independent of the width ($w$) of the Hall bar but the amplitude of the singularity $A_p$ vanishes exponentially with $w$ for $p\not=M$. | |
| dc.description | Conference paper published in J. Korean Phys. Soc. Vol29, S10 (1996) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0212170 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0212170 | |
| dc.identifier | J. of Korean Phys. Soc. 29, S10 (1996) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163097 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Momentum Distribution Function of a Narrow Hall Bar in the FQHE Regime | |
| dc.type | text |