Abstract
We prove an exact duality between the side-coupled and embedded geometries of a single level quantum dot attached to a quantum wire in a Luttinger liquid phase by a tunneling term and interactions. This is valid even in the presence of a finite bias voltage. Under this relation the Luttinger liquid parameter goes into its inverse, and transmittance maps onto reflectance. We then demonstrate how this duality is revealed by the transport properties of the side-coupled case. Conductance is found to exhibit an antiresonance as a function of the level energy, whose width vanishes (enhancing transport) as a power law for low temperature and bias voltage whenever , and diverges (suppressing transport) for . On-resonance transmission is always destroyed, unless is large enough.
- Received 2 July 2009
DOI:https://doi.org/10.1103/PhysRevLett.104.106403
©2010 American Physical Society