6533b862fe1ef96bd12c6269
RESEARCH PRODUCT
A Wigner molecule at extremely low densities: a numerically exact study
Nicolas SuaudStefano EvangelistiPierre-françois LoosThierry LeiningerJorge BergerMiguel Escobar AzorLéa Brookesubject
Physics010304 chemical physicsStrongly Correlated Electrons (cond-mat.str-el)PhysicsQC1-999FOS: Physical sciencesObservableElectron01 natural sciences[CHIM.THEO]Chemical Sciences/Theoretical and/or physical chemistryDelocalized electronCondensed Matter - Strongly Correlated ElectronsExact resultsQuantum mechanics0103 physical sciencesMoleculeEntropy (information theory)Reduced density matrix[PHYS.COND]Physics [physics]/Condensed Matter [cond-mat]010306 general physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-11-05 |