Interacting electrons on a half line coupled to impurities

Abstract

We generalize the bosonization methods for systems in the half line that we discussed elsewhere, to study the effects of interactions on electronic systems coupled to impurities. We introduce a model for a quantum wire coupled with a quantum dot by a purely capacitive interaction. We show that the effect on the quantum wire is a dynamical boundary condition which reflects the charge fluctuations of the quantum dot. Special attention is given to the role of the fermion boundary conditions and their interplay with the electron interactions on the bosonized effective theory.

34 pages

References in corpus (6)

• Landauer Conductance of Luttinger Liquids with Leads
• Interacting one dimensional electron gas with open boundaries
• Boundary Effects on Spectral Properties of Interacting Electrons in One Dimension
• Anomalous density of states of a Luttinger liquid in contact with a superconductor
• Bosonization rules in $1/2+1$ dimensions
• Exact effective action for fermions in one dimension with backscattering at a boundary