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Absence of spontaneous persistent current for interacting fermions in a one-dimensional mesoscopic ring

Loss, D. and Martin, T.. (1993) Absence of spontaneous persistent current for interacting fermions in a one-dimensional mesoscopic ring. Physical Review B, Vol. 47, H. 8. pp. 4619-4630.

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Official URL: http://edoc.unibas.ch/dok/A5254796

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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.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Theoretische Physik Mesoscopics (Loss)
UniBasel Contributors:Loss, Daniel
Item Type:Article, refereed
Article Subtype:Research Article
Bibsysno:Link to catalogue
Publisher:American Institute of Physics
ISSN:0163-1829
Note:Publication type according to Uni Basel Research Database: Journal article
Identification Number:
Last Modified:22 Mar 2012 14:25
Deposited On:22 Mar 2012 13:44

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