Exact Friedel oscillations in the g = ½ Luttinger liquid

Exact Friedel oscillations in the g=1/2 Luttinger liquid.

A single impurity in the 1D Luttinger model creates a local modification of the charge density analogous to the Friedel oscillations. In this paper, we present an exact solution of the case g = 1 2 (the equivalent of the Toulouse point) at any temperature T and impurity coupling, expressing the charge density in terms of a hypergeometric function. We find in particular that at T = 0, the oscill...

Friedel Oscillations in Luttinger Liquids Reinhold Egger and Hermann Grabert

We study the density disturbance of a correlated one–dimensional electron liquid in the presence of a scatterer or a barrier. The 2kF – periodic density profile away from the barrier (Friedel oscillation) is computed for arbitrary electron–electron interaction and arbitrary impurity strength. We find that in presence of correlations, the Friedel oscillation decays slower than predicted by Fermi...

Friedel oscillations in a Luttinger liquid with long-range interactions

We introduce a path-integral approach that allows to compute charge density oscillations in a Luttinger liquid with impurities. We obtain an explicit expression for the envelope of Friedel oscillations in the presence of arbitrary electron-electron potentials. As examples, in order to illustrate the procedure, we show how to use our formula for contact and Coulomb potentials. Pacs: 05.30.Fk, 71...

Friedel oscillations in a Fermi liquid

Non-linear Coulomb blockade microscopy of a correlated one-dimensional quantum dot.

We evaluate the chemical potential of a one-dimensional quantum dot coupled to an atomic force microscope tip. The dot is described within the Luttinger liquid framework, and the conductance peak positions as a function of the tip location are calculated in the linear and non-linear transport regimes for an arbitrary number of particles. The differences between the chemical potential oscillatio...