2014/08/01 by F. M. Gambetta, N. Traverso Ziani, F. Cavaliere +1 · 21 citations
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Chemical and Physical Properties of Materials #Correlation #Correlation function (quantum field theory) #Electron #Luttinger liquid #Quantum #Quantum and electron transport phenomena #Quantum dot #Wigner distribution function #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1209/0295-5075/107/47010
published in Europhysics Letters (EPL) 107(4), 47010 (Institute of Physics) · 6 pages, 5 figures
openalex publication_date 2014/08/01 · arxiv created 2015/03/24 · arxiv updated 2015/06/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In one-channel, finite-size Luttinger one-dimensional quantum dots, both Friedel oscillations and Wigner correlations induce oscillations in the electron density with the same wavelength, pinned at the same position. Therefore, observing such a property does not provide any hint about the formation of a Wigner molecule when electrons interact strongly and other tools must be employed to assess the formation of such correlated states. We compare here the behavior of three different correlation functions and demonstrate that the integrated two point correlation function , which represents the probability density of finding two particles at a given distance, is the only faithful estimator for the formation of a correlated Wigner molecule.