# Giant oscillations of the current in a dirty 2D electron system flowing perpendicular to a lateral barrier under magnetic field

## TL;DR

This paper theoretically investigates giant oscillations in charge current in a dirty 2D electron system with a lateral barrier under magnetic field, explaining experimental observations through quantum interference effects.

## Contribution

It provides a theoretical explanation for giant current oscillations and conductance behavior in a disordered 2D electron system with a lateral barrier under magnetic field, matching experimental data.

## Key findings

- Giant oscillations of charge current are due to quantum interference of edge states.
- Conductance maxima align with Landau levels, despite suppressed overall conductance.
- Resonant tunneling occurs without electron-electron interactions.

## Abstract

The charge transport in a dirty 2-dimensional electron system biased in the presence of a lateral potential barrier under magnetic field is theoretically studied. The quantum tunneling across the barrier provides the quantum interference of the edge states localized on its both sides that results in giant oscillations of the charge current flowing perpendicular to the lateral junction. Our theoretical analysis is in a good agreement with the experimental observations presented in Ref.8. In particular, positions of the conductance maxima coincide with the Landau levels while the conductance itself is essentially suppressed even at the energies at which the resonant tunneling occurs and hence these puzzling observations can be resolved without taking into account the electron-electron interaction.