Preprint Review Version 1 Preserved in Portico This version is not peer-reviewed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.

Journal reference: Crystals 2020, 11, 20
DOI: 10.3390/cryst11010020

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.

Subject Areas

Wigner crystal; Bosonization; Luttinger liquid

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