Abstract
In this work, we calculate the current distribution, in the close vicinity of the quantum point contacts (QPCs), taking into account the Coulomb interaction. In the first step, we calculate the bare confinement potential of a generic QPC and, in the presence of a perpendicular magnetic field, obtain the positions of the incompressible edge states (IES) taking into account electron-electron interaction within the Thomas-Fermi theory of screening. Using a local version of Ohm's law, together with a relevant conductivity model, we also calculate the current distribution. We observe that, the imposed external current is confined locally into the incompressible strips. Our calculations demonstrate that, the inclusion of the electron-electron interaction, strongly changes the general picture of the transport through the QPCs.
| Original language | English |
|---|---|
| Pages (from-to) | 1160-1162 |
| Number of pages | 3 |
| Journal | Physica E: Low-Dimensional Systems and Nanostructures |
| Volume | 40 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Mar 2008 |
| Externally published | Yes |
Funding
We would like to thank R.R. Gerhardts for his fruitful lectures on screening theory, enabling us to understand the basics. The authors acknowledge the support of the Marmaris Institute of Theoretical and Applied Physics (ITAP), TUBITAK Grant 105T110, TUBAP-739-754-759, SFB631 and DIP.
| Funders | Funder number |
|---|---|
| ITAP | |
| Marmaris Institute of Theoretical and Applied Physics | |
| TUBITAK | 105T110, SFB631, TUBAP-739-754-759 |
Keywords
- Edge states
- Mach-Zehnder interferometer
- Quantum Hall effect
- Quantum point contact's
- Screening