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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), last revised 5 Sep 2021 (this version, v4))
Abstract: In this paper, we consider analytically the density evolution of a spinless Fermi liquid with a nonlinear dispersion relation into which one particle is injected. The interaction is point-like and the temperature is zero. We obtain a formula for the evolution of the density and discuss the picture it gives as well as the physics behind it. Compared to the case of a linear spectrum, we find further and more complex fractionalization of the initial density hump: it splits into three humps instead of two, moreover, all three change their shapes in a complicated manner. We analyze the mechanisms of these phenomena and calculate their main characteristics. 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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