A Short Review of One-Dimensional Wigner Crystallization

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 liqui...

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Published in:Crystals (Basel) 2021-01, Vol.11 (1), p.20
Main Authors: Ziani, Niccolo, Cavaliere, Fabio, Becerra, Karina, Sassetti, Maura
Format: Article
Language:English
Subjects:
bosonization
Carbon nanotubes
Crystallization
Dimensional analysis
Electron density
Electronic systems
Energy industry
Experiments
Fermions
luttinger liquid
Numerical analysis
Phase transitions
Physics
Quantum dots
wigner crystal
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description 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 is briefly addressed, together with the basic properties of carbon nanotubes that are required. Then, the most relevant properties of Wigner molecules are addressed, and finally the experiments are described. The main physical points that are addressed are the suppression of the energy scales related to the spin and isospin sectors of the Hamiltonian, and the peculiar structure that the electron density acquires in the Wigner molecule regime.
doi_str_mv 10.3390/cryst11010020
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subjects bosonization
Carbon nanotubes
Crystallization
Dimensional analysis
Electron density
Electronic systems
Energy industry
Experiments
Fermions
luttinger liquid
Numerical analysis
Phase transitions
Physics
Quantum dots
wigner crystal
title A Short Review of One-Dimensional Wigner Crystallization
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