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      Analysis of the phase lapse problem in closed interferometers

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      Author
      Tolea, M.
      Moldoveanu, V.
      Dinu, I. V.
      Tanatar, Bilal
      Date
      2012
      Source Title
      Physics Letters Section A : General, Atomic and Solid State Physics
      Print ISSN
      0375-9601
      Electronic ISSN
      1873-2429
      Publisher
      Elsevier B.V.
      Volume
      376
      Issue
      45
      Pages
      3229 - 3234
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      We investigate the connection between the asymmetry of the Fano resonances in a mesoscopic interferometer with an embedded quantum dot and the π lapses in the phase of the bare dot transmittance. Consecutive Fano resonances with the same (opposite) sign of the Fano parameter imply the presence (absence) of a phase lapse with π between the corresponding resonances of the dot. Our results suggest that the famous phase lapse problem, first reported by Schuster et al. [R. Schuster, E. Buks, M. Heiblum, D. Mahalu, V. Umansky, H. Shtrikman, Nature 385 (1997) 417], can therefore be experimentally addressed in closed interferometers. It is also proposed that the Fano effect can be used to extract the phase distributions of the eigenfunctions for a mesoscopic 2D shape, via the parity of the resonances. In the presence of electron-electron interaction, one can calculate the phases of the T-matrix elements. The numerical results lead to the same conclusions as for the non-interacting case.
      Keywords
      Aharonov-Bohm interferometer
      Fano parameter
      Transmittance phase
      Permalink
      http://hdl.handle.net/11693/21310
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.physleta.2012.07.007
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