Quasi-particle propagation in quantum Hall systems

Details Quasi-particle propagation in quantum Hall systems Quasi-particle propagation in quantum Hall systems

2007-12-06

arxiv.org/abs/0712.0879v3

Phys. Rev. B 77, 115442 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

16 pages including 4 figures; a more detailed and self-contained version of Phys. Rev. Lett. 99, 190401 (2007), arXiv:0705.036

Scientific paper

10.1103/PhysRevB.77.115442

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 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 and find that they vanishes 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 exhibits unusual features for a narrow enough Hall bar.

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