6533b857fe1ef96bd12b3d0a
RESEARCH PRODUCT
Time-dependent transport in Aharonov–Bohm interferometers
Afif SiddikiAfif SiddikiE. CicekVille KotimäkiEsa RäsänenEsa Räsänensubject
FOS: Physical sciencesGeneral Physics and AstronomyFlux02 engineering and technologySTRIPSElectronQuantum Hall effect01 natural sciencesSchrödinger equationlaw.inventionCondensed Matter - Strongly Correlated Electronssymbols.namesakelawMesoscale and Nanoscale Physics (cond-mat.mes-hall)0103 physical sciences010306 general physicsPhysicsStrongly Correlated Electrons (cond-mat.str-el)Condensed Matter - Mesoscale and Nanoscale PhysicsCondensed Matter::Mesoscopic Systems and Quantum Hall Effect021001 nanoscience & nanotechnologyMagnetic fluxMagnetic fieldAmplitudeQuantum electrodynamicssymbols0210 nano-technologydescription
A numerical approach is employed to explain transport characteristics in realistic, quantum Hall based Aharonov-Bohm interferometers. First, the spatial distribution of incompressible strips, and thus the current channels, are obtained applying a self-consistent Thomas-Fermi method to a realistic heterostructure under quantized Hall conditions. Second, the time-dependent Schr\"odinger equation is solved for electrons injected in the current channels. Distinctive Aharonov-Bohm oscillations are found as a function of the magnetic flux. The oscillation amplitude strongly depends on the mutual distance between the transport channels and on their width. At an optimal distance the amplitude and thus the interchannel transport is maximized, which determines the maximum visibility condition. On the other hand, the transport is fully suppressed at magnetic fields corresponding to half-integer flux quanta. The results confirm the applicability of realistic Aharonov-Bohm interferometers as controllable current switches.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-10-28 | New Journal of Physics |