Quasiparticle propagation in quantum Hall systems

Research output: Contribution to journalArticle

Abstract

We study various geometrical aspects of the propagation of particles obeying fractional statistics in the physical setting of the quantum Hall system. We find a discrete set of zeros for the two-particle kernel in the lowest Landau level; these arise from a combination of a two-particle Aharonov-Bohm effect and the exchange phase related to fractional statistics. The kernel also shows short-distance exclusion statistics, for instance, in a power law behavior as a function of the initial and final positions of the particles. We employ the one-particle kernel to compute impurity-mediated tunneling amplitudes between different edges of a finite-sized quantum Hall system and find that they vanish for certain strengths and locations of the impurity scattering potentials. We show that even in the absence of scattering, the correlation functions between different edges exhibit unusual features for a narrow enough Hall bar.

Original languageEnglish (US)
Article number115442
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume77
Issue number11
DOIs
StatePublished - Mar 24 2008

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Statistics
propagation
Scattering
Impurities
statistics
impurities
exclusion
scattering

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Quasiparticle propagation in quantum Hall systems. / Sen, Diptiman; Stone, Michael; Vishveshwara, Smitha.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 77, No. 11, 115442, 24.03.2008.

Research output: Contribution to journalArticle

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