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Condensed Matter > Strongly Correlated Electrons
Title: Charge fractionalization beyond the Luttinger liquid paradigm: an analytical consideration
(Submitted on 1 Dec 2020 (v1), revised 11 Jan 2021 (this version, v3), latest version 5 Sep 2021 (v4))
Abstract: In this paper we consider analytically the density evolution of a spinless Fermi liquid with nonlinear dispersion into which one particle is injected. The liquid interaction is point-like and the temperature is zero. We obtain a formula for the evolution of the density deviation and discuss the picture it gives as well as the physics behind it. We find further fractionalization of the initial density hump comparing to the linear dispersion case: it splits into three humps instead of two. All three change their shapes in a complicated sort of way, and we analyse the mechanisms of these phenomena. We also show that the fractionalization can be illustrated from a semiclassical point of view.
Submission history
From: Anton A. Dontsov [view email][v1] Tue, 1 Dec 2020 21:19:40 GMT (625kb,D)
[v2] Fri, 25 Dec 2020 12:48:14 GMT (627kb,D)
[v3] Mon, 11 Jan 2021 17:01:29 GMT (627kb,D)
[v4] Sun, 5 Sep 2021 12:55:29 GMT (611kb,D)
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