Abstract
We show that the observed evolution of the transmission phase through multielectron quantum dots with more than approximately ten electrons, which shows a universal (i.e., independent of $N$) as yet unexplained behavior, is consistent with an electrostatic model, where electron-electron interaction is described by a mean-field approach. Moreover, we perform exact calculations for an open one-dimensional quantum dot and show that carrier correlations may give rise to a nonuniversal (i.e., $N$-dependent) behavior of the transmission phase, ensuing from Fano resonances, which is consistent with experiments with a few $(Nl10)$ carriers. Our results suggest that in the universal regime, the coherent transmission takes place through a single level, while in the few-particle regime, the correlated scattering state is determined by the number of bound particles.
Highlights
Among the experiments that exploit the coherent dynamics of carriers, the one performed in 1997 by Schuster et al.,[1] in which the transmission phase of an electron scattered through a quantum dotQDwas measured, constitutes an ideal test on the validity of different theoretical models for the inclusion of electron-electron interaction
The aim of the present paper is to show that the universal behavior of the phaselarge Nis consistent with an electrostatic approximation, where the electron-electron interaction between the scattered carrier and the bound ones are included as a mean Coulomb field
We showed that in the few-particle correlated regime, both Breit-Wigner and Fano resonances are found, while in the mean-field regime, a single type of resonance is present, which is repeated for each number of bound electrons, this leading to a phase jump of each time a new electron enters the QD
Summary
Among the experiments that exploit the coherent dynamics of carriers, the one performed in 1997 by Schuster et al.,[1] in which the transmission phase of an electron scattered through a quantum dotQDwas measured, constitutes an ideal test on the validity of different theoretical models for the inclusion of electron-electron interaction. The aim of the present paper is to show that the universal behavior of the phaselarge Nis consistent with an electrostatic approximation, where the electron-electron interaction between the scattered carrier and the bound ones are included as a mean Coulomb field
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
