Time-Dependent Modelling of Single-Electron Interferometry with Edge-States

19th International Conference on Electron Dynamics in Semiconductors, Optoelectronics and Nanostructures

Beggi, A.^1 ; Bertoni, A.^2 ; Bordone, P.^1,2

Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Universitá Degli Studi di Modena e Reggio Emilia, Via Campi 213/A, Modena

1-41125, Italy^1

S3, Istituto Nanoscienze-CNR, Via Campi 213/A, Modena

I-41125, Italy^2

关键词: Energy dependent;    External magnetic field;    Localized electrons;    Localized wave packets;    Quantum point contact;    Scattering process;    Time-resolved dynamics;    Transmission coefficients;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/647/1/012023/pdf
DOI  :  10.1088/1742-6596/647/1/012023

来源: IOP

【 摘 要 】

We simulate the time-resolved dynamics of localized electrons in a 2DEG system, where an external magnetic field creates quantum Hall edge states, and properly polarized split gates define a Mach-Zehnder electron interferometer. The carriers travelling inside the Hall channels consist of localized wave packets of edge states: they are propagated numerically bymeans of a Fourier split-step approach. We find that the energy-dependent, scattering process at the quantum point contacts, together with the finite energy distribution of the carriers, have a remarkable effect on the transmission coefficient T of the device. We provide an analytical model to justify the characteristics of T which is in good agreement with the numerical simulations.