Analysis of the phase lapse problem in closed interferometers
Author
Tolea, M.
Moldoveanu, V.
Dinu, I. V.
Tanatar, Bilal
Date
2012Source 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
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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.