Asymmetric Wigner molecules in nanowire Y-junctions

Abstract The possibility of crystalline states of interacting electrons, known as Wigner crystals, has been intensively studied in each of the three dimensions. One-dimensional (1D) systems, however, can be interconnected forming two-dimensional (2D) lattices, being a three-terminal Y-junction (Y-J)...

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Main Authors: R. Méndez-Camacho, E. Cruz-Hernández
Format: Article
Language:English
Published: Nature Portfolio 2022-11-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-24583-x
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author R. Méndez-Camacho
E. Cruz-Hernández
author_facet R. Méndez-Camacho
E. Cruz-Hernández
author_sort R. Méndez-Camacho
collection DOAJ
description Abstract The possibility of crystalline states of interacting electrons, known as Wigner crystals, has been intensively studied in each of the three dimensions. One-dimensional (1D) systems, however, can be interconnected forming two-dimensional (2D) lattices, being a three-terminal Y-junction (Y-J) the simplest one. Then, even when electrons in the individual branches of the Y are confined in 1D, as the Y-J is in 2D, one could expect significant differences in the crystalline state of the electron gas in a Y-J. With the recent report of fabrication of defect-free GaAs/AlGaAs Y-Js by epitaxial methods, the study of semiconductor Y-Js acquires a special relevance due to its eventual direct exploration. Here, by considering the collective electron interactions using a Yukawa-like effective potential, we explore a two-electron distribution in nanowire Y-Js by modulating its electron density via a screening parameter. We find that the electrons changes from a quasi-continuous to a Wigner molecule-like distribution when the electron density decreases in the Y-J. In bold contrast to the strict 1D case, where equidistant distributions of equal density are obtained in the Wigner regime, in the Y-J equidistant distributions of asymmetric density are induced. We also explore the effect of an external electric field acting along the Y-axis on the asymmetric distributions.
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spelling doaj.art-29db2fc59b8c404e9b44a84e9a406e422022-12-22T02:55:02ZengNature PortfolioScientific Reports2045-23222022-11-0112111010.1038/s41598-022-24583-xAsymmetric Wigner molecules in nanowire Y-junctionsR. Méndez-Camacho0E. Cruz-Hernández1Facultad de Ciencias, Universidad Autónoma de San Luis PotosíCoordinación para la Innovación y Aplicación de la Ciencia y la Tecnología, Universidad Autónoma de San Luis PotosíAbstract The possibility of crystalline states of interacting electrons, known as Wigner crystals, has been intensively studied in each of the three dimensions. One-dimensional (1D) systems, however, can be interconnected forming two-dimensional (2D) lattices, being a three-terminal Y-junction (Y-J) the simplest one. Then, even when electrons in the individual branches of the Y are confined in 1D, as the Y-J is in 2D, one could expect significant differences in the crystalline state of the electron gas in a Y-J. With the recent report of fabrication of defect-free GaAs/AlGaAs Y-Js by epitaxial methods, the study of semiconductor Y-Js acquires a special relevance due to its eventual direct exploration. Here, by considering the collective electron interactions using a Yukawa-like effective potential, we explore a two-electron distribution in nanowire Y-Js by modulating its electron density via a screening parameter. We find that the electrons changes from a quasi-continuous to a Wigner molecule-like distribution when the electron density decreases in the Y-J. In bold contrast to the strict 1D case, where equidistant distributions of equal density are obtained in the Wigner regime, in the Y-J equidistant distributions of asymmetric density are induced. We also explore the effect of an external electric field acting along the Y-axis on the asymmetric distributions.https://doi.org/10.1038/s41598-022-24583-x
spellingShingle R. Méndez-Camacho
E. Cruz-Hernández
Asymmetric Wigner molecules in nanowire Y-junctions
Scientific Reports
title Asymmetric Wigner molecules in nanowire Y-junctions
title_full Asymmetric Wigner molecules in nanowire Y-junctions
title_fullStr Asymmetric Wigner molecules in nanowire Y-junctions
title_full_unstemmed Asymmetric Wigner molecules in nanowire Y-junctions
title_short Asymmetric Wigner molecules in nanowire Y-junctions
title_sort asymmetric wigner molecules in nanowire y junctions
url https://doi.org/10.1038/s41598-022-24583-x
work_keys_str_mv AT rmendezcamacho asymmetricwignermoleculesinnanowireyjunctions
AT ecruzhernandez asymmetricwignermoleculesinnanowireyjunctions