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Imaging of condensed quantum states in the quantum hall effect regime
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Oswald, Josef and Römer, Rudolf A. (2015) Imaging of condensed quantum states in the quantum hall effect regime. Physics Procedia, 75 . pp. 314-325. doi:10.1016/j.phpro.2015.12.038 ISSN 1875-3892.
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Official URL: http://www.journals.elsevier.com/physics-procedia/
Abstract
It has been proposed already some time ago that Wigner crystallization in the tails of the Landau levels may play an important role in the quantum Hall regime. Here we use numerical simulations for modelling condensed quantum states and propose real space imaging of such highly correlated electron states by scanning gate microscopy (SGM). The ingredients for our modelling are a many particle model that combines a self-consistent Hartree-Fock calculation for the steady state with a nonequilibrium network model for the electron transport.
If there exist condensed many particle quantum states in our electronic model system, our simulations demonstrate that the response pattern of the total sample current as a function of the SGM tip position delivers detailed information about the geometry of the underlying quantum state. For the case of a ring shaped dot potential in the few electron limit it is possible to find regimes with a rigid (condensed) charge distribution in the ring, where the SGM pattern corresponds to the probability density of the quantum states. The existence of the SGM image can be interpreted as the manifestation of an electron solid, since the pattern generation of the charge distribution requires certain stability against the moving tip potential.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QC Physics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics Faculty of Science, Engineering and Medicine > Science > Centre for Scientific Computing |
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Library of Congress Subject Headings (LCSH): | Quantum Hall effect | ||||||
Journal or Publication Title: | Physics Procedia | ||||||
Publisher: | Elsevier BV | ||||||
ISSN: | 1875-3892 | ||||||
Official Date: | 29 December 2015 | ||||||
Dates: |
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Volume: | 75 | ||||||
Number of Pages: | 12 | ||||||
Page Range: | pp. 314-325 | ||||||
DOI: | 10.1016/j.phpro.2015.12.038 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||||
Grant number: | EP/J003476 (EPSRC) |
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