Absence of spontaneous persistent current for interacting fermions in a one-dimensional mesoscopic ring
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
 
ID 120038
Author(s) Loss; Martin
Author(s) at UniBasel Loss, Daniel
Year 1993
Title Absence of spontaneous persistent current for interacting fermions in a one-dimensional mesoscopic ring
Journal Physical Review B
Volume 47
Number 8
Pages / Article-Number 4619-4630
Abstract

We address the issue of whether a system of interacting electrons confined to a one-dimensional ring can sustain a spontaneous persistent current in the absence of an externally applied flux. The current-current coupling between electrons, describing radiative back-action effects, is exactly treated in the formalism of quantum electrodynamics, where the electrons interact via the exchange of virtual photons. In addition, the instantaneous screened Coulomb potential is taken into account using the Luttinger liquid model including finite-size parity effects. The partition function is calculated exactly, with the result that the system does not possess a spontaneous persistent current. We show that, in the presence of an external flux, the amplitude of the (conventional) persistent current is reduced by quantum fluctuations of the internal transverse electromagnetic field. These corrections can be expressed in terms of the self-induction of the ring and are shown to be of first and higher order in the small dimensionless parameter alphaupsilon(F)*/c, where alpha is the fine-structure constant and upsilon(F)* the Fermi velocity renormalized through Coulomb interactions.

Publisher American Institute of Physics
ISSN/ISBN 0163-1829
edoc-URL http://edoc.unibas.ch/dok/A5254796
Full Text on edoc No
Digital Object Identifier DOI 10.1103/PhysRevB.47.4619
PubMed ID http://www.ncbi.nlm.nih.gov/pubmed/10006609
ISI-Number WOS:A1993KQ09800053
Document type (ISI) Article
 
   

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