| Issue |
EPL
Volume 80, Number 1, October 2007
|
|
|---|---|---|
| Article Number | 17003 | |
| Number of page(s) | 5 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/80/17003 | |
| Published online | 07 September 2007 | |
On transport in quantum Hall systems with constrictions
The Abdus Salam ICTP - Strada Costiera 11, Trieste 34014, Italy
Corresponding author: slal@ictp.it
Received:
19
February
2007
Accepted:
13
August
2007
We study edge transport in a simple model of a constricted quantum Hall system with a lowered local filling factor. The current backscattered from the constriction is explained from a matching of the properties of the edge-current excitations in the constriction (
) and bulk (
) regions. We develop a hydrodynamic theory for bosonic edge modes inspired by this model, finding that a competition between two tunneling process, related by a quasiparticle-quasihole symmetry, determines the fate of the low-bias transmission conductance. A novel generalisation of the Kane-Fisher quantum impurity model is found, describing transitions from a weak-coupling theory at partial transmission to strong-coupling theories for perfect transmission and reflection as well as a new symmetry dictated fixed point. These results provide satisfactory explanations for recent experimental results at filling factors of 
and 1.
PACS: 73.23.-b – Electronic transport in mesoscopic systems / 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) / 73.43.Jn – Tunneling
© Europhysics Letters Association, 2007
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