Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Surface Science

Interacting electrons in one-dimensional confinements

T. Shirai, Hideaki Kasai, Wilson Agerico Diño, Hiroshi Nakanishi, Ayao Okiji

Published Aug 1, 2002• 1 citation
Publisher
DOI
10.1016/s0039-6028(02)01613-8

Related papers

Some solutions for a system of interacting electrons confined in one dimension

圭史 辻本, Hideaki Kasai, Wilson Agerico Diño +2 more

Physics Letters A•Nov 1, 2000•2 citations

Interacting Atoms under Strong Confinement

Eite Tiesinga, Carl J. Williams, Frederick H. Mies +1 more

Physical Review A•Jan 1, 2000•2 citations

The Wigner localization of interacting electrons in a one-dimensional harmonic potential

Xabier Telleria‐Allika, Miguel Escobar Azor, Grégoire François +5 more

In this work, we study the Wigner localization of interacting electrons that are confined to a quasi-one-dimensional harmonic potential using accurate quantum chemistry approaches. We demonstrate that the Wigner regime can be reached using small values of the confinement parameter. To obtain physical insight in our results, we analyze them with a semi-analytical model for two electrons. Thanks to electronic-structure properties such as the one-body density and the particle-hole entropy, we are able to define a path that connects the Wigner regime to the Fermi-gas regime by varying the confinement parameter. In particular, we show that the particle-hole entropy, as a function of the confinement parameter, smoothly connects the two regimes. Moreover, it exhibits a maximum that could be interpreted as the transition point between the localized and delocalized regimes.

arXiv:2207.12014•The Journal of Chemical Physics•Oct 10, 2022•3 citations

Topological quasi-one-dimensional state of interacting spinless electrons

Gaoyong Sun, T. Vekua

By decreasing the transversal confinement potential in interacting one-dimensional spinless electrons and populating the second energetically lowest subband for not too strong interactions system transitions into a quasi-one-dimensional state with dominant superconducting correlations and one gapless mode. By combining effective field theory approach and numerical density matrix renormalization group simulations, we show that this quasi-one-dimensional state is a topological state that hosts zero-energy edge modes. We also study the single-particle correlations across the interface between these quasi-one-dimensional and single-channel states.

arXiv:1601.02951•Physical review. B./Physical review. B•May 23, 2016•9 citations

EFFECTS OF ELECTRON-ELECTRON INTERACTIONS IN TWO DIMENSIONS

S. V. Kravchenko

•Dec 1, 2009•0 citations

Interacting Electrons in Reduced Dimensions

D. Baeriswyl, David K Campbell

NATO ASI series. Series B : Physics•Jan 1, 1989•78 citations
In this work, we study the Wigner localization of interacting electrons that are confined to a quasi-one-dimensional harmonic potential using accurate quantum chemistry approaches. We demonstrate that the Wigner regime can be reached using small values of the confinement parameter. To obtain physical insight in our results, we analyze them with a semi-analytical model for two electrons. Thanks to electronic-structure properties such as the one-body density and the particle-hole entropy, we are able to define a path that connects the Wigner regime to the Fermi-gas regime by varying the confinement parameter. In particular, we show that the particle-hole entropy, as a function of the confinement parameter, smoothly connects the two regimes. Moreover, it exhibits a maximum that could be interpreted as the transition point between the localized and delocalized regimes.
By decreasing the transversal confinement potential in interacting one-dimensional spinless electrons and populating the second energetically lowest subband for not too strong interactions system transitions into a quasi-one-dimensional state with dominant superconducting correlations and one gapless mode. By combining effective field theory approach and numerical density matrix renormalization group simulations, we show that this quasi-one-dimensional state is a topological state that hosts zero-energy edge modes. We also study the single-particle correlations across the interface between these quasi-one-dimensional and single-channel states.