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19 April 2024 |
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The Role of Interactions in an Electronic Fabry-Perot Interferometer Operating in the Quantum Hall Effect Regime | | Nissim Ofek
; Aveek Bid
; Moty Heiblum
; Ady Stern
; Vladimir Umansky
; Diana Mahalu
; | | Date: |
4 Nov 2009 | | Abstract: | Interference of edge channels is expected to be a prominent tool for studying
statistics of charged quasiparticles in the quantum Hall effect (QHE) [A. Stern
(2008), Ann. Phys. 1:204; C. Chamon et al. (1997), Phys. Rev. B, 55:2331]. We
present here a detailed study of an electronic Fabry-Perot interferometer (FPI)
operating in the QHE regime [C. Chamon et al. (1997), Phys. Rev. B, 55:2331],
with the phase of the interfering quasiparticles controlled by the
Aharonov-Bohm (AB) effect. Our main finding is that Coulomb interactions among
the electrons dominate the interference, even in a relatively large area FPI,
leading to a strong dependence of the area enclosed by the interference loop on
the magnetic field. In particular, for a composite edge structure, with a few
independent edge channels propagating along the edge, interference of the
outmost edge channel (belonging to the lowest Landau level) was insensitive to
magnetic field; suggesting a constant enclosed flux. However, when any of the
inner edge channels interfered, the enclosed flux decreased when the magnetic
field increased. By intentionally varying the enclosed area with a biased
metallic gate and observing the periodicity of the interference pattern,
charges e (for integer filling factors) and e/3 (for a fractional filling
factor) were found to be expelled from the FPI. Moreover, these observations
provided also a novel way of detecting the charge of the interfering
quasiparticles. | | Source: | arXiv, 0911.0794 | | Services: | Forum | Review | PDF | Favorites | |
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