Persistent current and Wigner crystallization in a one dimensional quantum ring

Simple item page
dc.creatorSiegmund, Marc
dc.creatorHofmann, Markus
dc.creatorPankratov, Oleg
dc.date2007-11-19
dc.date.accessioned2026-07-07T08:43:45Z
dc.date.available2026-07-07T08:43:45Z
dc.descriptionWe use Density Functional Theory to study interacting spinless electrons on a one-dimensional quantum ring in the density range where the system undergoes Wigner crystallization. The Wigner transition leads to a drastic ``collective'' electron localization due to the Wigner crystal pinning, provided a weak impurity potential is applied. To reveal this localization we examine a persistent current in a ring penetrated by a magnetic flux. Using the DFT-OEP method we calculated the current as a function of the interaction parameter r_S. We find that in the limit of vanishing impurity potential the persistent current stays constant up to a critical value of r_S^c=2.05 but shows a drastic exponential decay for larger r_S which reflects a formation of a pinned Wigner crystal. Above r_S^c the amplitude of the electron density oscillations exactly follows the (r_S-r_S^c)^{1/2} behaviour, confirming a second-order phase transition as expected in the mean-field-type OEP approximation.
dc.description7 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0711.2937
dc.identifierhttp://arxiv.org/abs/0711.2937
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142429
dc.subjectMesoscale and Nanoscale Physics
dc.titlePersistent current and Wigner crystallization in a one dimensional quantum ring
dc.typetext

Files

Collections

arXiv