Friedel oscillations in a Fermi liquid

Friedel oscillations in a Fermi liquid

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...

Exact Friedel oscillations in the g = ½ Luttinger liquid

Exact Friedel oscillations in the g = 1 2 Luttinger liquid. Abstract: A single impurity in the 1D Luttinger model creates a local modiication 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 hyp...

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...

Charge Friedel oscillations in a Mott insulator

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. When a metal undergoes a transition to an insulator it will lose its electronic Fermi surface. Interestingly, in so...