Time-dependent transport in Graphene Mach-Zender Interferometers
arXiv:2207.12769 · doi:10.1103/PhysRevB.106.165402
Abstract
Graphene nanoribbons provide an ideal platform for electronic interferometry in the Integer Quantum Hall regime. Here, we solve the time-dependent four-component Schroedinger equation for single carriers in graphene and expose several dynamical effects of the carrier localization on their transport characteristics in pn junctions. We simulate two kinds of Mach-Zender Interferometers (MZI). The first is based on Quantum Point Contacts and is similar to traditional GaAs/AlGaAs interferometers. As expected, we observe Aharonov-Bohm oscillations and phase averaging. The second is based on Valley Beam Splitters, where we observe unexpected phenomena due to the intersection of the Edge Channels that constitute the MZI. Our results provide further insights into the behavior of graphene interferometers. Additionally, they highlight the operative regime of such nanodevices for feasible single-particle implementations.
14 pages, 7 figures
References in corpus (21)
- Boron nitride substrates for high-quality graphene electronics
- Chiral tunneling and the Klein paradox in graphene
- Electronic States of Graphene Nanoribbons
- Quantum interference and Klein tunneling in graphene heterojunctions
- Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
- Edge States and the Quantized Hall Effect in Graphene
- Dissipative Quantum Hall Effect in Graphene near the Dirac Point
- Peculiar Nature of Snake States in Graphene
- Snake Trajectories in Ultraclean Graphene p-n Junctions
- Snake States in Graphene p-n Junctions
- Anyons in Quantum Hall Interferometry
- Multi-channel architecture for electronic quantum-Hall interferometry
- Snake states and Klein tunneling in a graphene Hall bar with a pn-junction
- Interplay between snake and quantum edge states in a graphene Hall bar with a pn-junction
- Wave packet approach to transport in mesoscopic systems
- Imaging snake orbits at graphene n-p junctions
- Quantum Hall effect in ac driven graphene: from half-integer to integer case
- Inter-Edge Backscattering in Buried Split-Gate-Defined Graphene Quantum Point Contacts
- Valley isospin of interface states in a graphene junction in the quantum Hall regime
- Space- and time-dependent quantum dynamics of spatially indirect excitons in semiconductor heterostructures
- Current modulation in graphene p-n junctions with external fields