A Wigner molecule at extremely low densities: a numerically exact study

Autor: Miguel Escobar Azor, Léa Brooke, Stefano Evangelisti, Thierry Leininger, Pierre-François Loos, Nicolas Suaud, J. A. Berger
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: SciPost Physics Core, Vol 1, Iss 1, p 001 (2019)
Druh dokumentu: article
ISSN: 2666-9366
DOI: 10.21468/SciPostPhysCore.1.1.001
Popis: In this work we investigate Wigner localization at very low densities by means of the exact diagonalization of the Hamiltonian. This yields numerically exact results. In particular, we study a quasi-one-dimensional system of two electrons that are confined to a ring by three-dimensional gaussians placed along the ring perimeter. To characterize the Wigner localization we study several appropriate observables, namely the two-body reduced density matrix, the localization tensor and the particle-hole entropy. We show that the localization tensor is the most promising quantity to study Wigner localization since it accurately captures the transition from the delocalized to the localized state and it can be applied to systems of all sizes.
Databáze: Directory of Open Access Journals