Review
Version 1
Preserved in Portico This version is not peer-reviewed
A Short Review on One Dimensional Wigner Crystallization
Version 1
: Received: 20 December 2020 / Approved: 21 December 2020 / Online: 21 December 2020 (10:34:17 CET)
A peer-reviewed article of this Preprint also exists.
Ziani, N.T.; Cavaliere, F.; Becerra, K.G.; Sassetti, M. A Short Review of One-Dimensional Wigner Crystallization. Crystals 2021, 11, 20. Ziani, N.T.; Cavaliere, F.; Becerra, K.G.; Sassetti, M. A Short Review of One-Dimensional Wigner Crystallization. Crystals 2021, 11, 20.
Abstract
The simplest possible structural transition that an electronic system can undergo is Wigner crystallization. The aim of this short review is to discuss the main aspects of three recent experimets on the one dimensional Wigner molecule, starting from scratch. To achieve this task, the Luttinger liquid theory of weakly and strongly interacting fermions will be shortly addressed, together with the basic properties of carbon nanotubes that are require. Then, the most relevant properties of Wigner molecules will be addressed, and finally the experiments will be described.
Keywords
Wigner crystal; Bosonization; Luttinger liquid
Subject
Physical Sciences, Acoustics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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