Issue
EPL
Volume 83, Number 2, July 2008
Article Number 21003
Number of page(s) 5
Section The Physics of Elementary Particles and Fields
DOI http://dx.doi.org/10.1209/0295-5075/83/21003
Published online 07 July 2008
EPL, 83 (2008) 21003
DOI: 10.1209/0295-5075/83/21003

Topological order in frustrated Josephson junction arrays

M. C. Diamantini1, P. Sodano1 and C. A. Trugenberger2

1  INFN and Dipartimento di Fisica, University of Perugia - via A. Pascoli, I-06100 Perugia, Italy, EU
2  SwissScientific.com - ch. Diodati 10, CH-1223 Cologny, Switzerland

cristina.diamantini@pg.infn.it
pasquale.sodano@pg.infn.it
ca.trugenberger@bluewin.ch

received 14 February 2008; accepted in final form 2 June 2006; published July 2008
published online 7 July 2008

Abstract
We show that electrically and magnetically frustrated Josephson junction arrays (JJAs) realize topological order with a non-trivial ground-state degeneracy on manifolds with non-trivial topology. The low-energy theory has the same gauge dynamics of the unfrustrated JJAs but for different, "fractional" degrees of freedom, a principle reminescent of Jain's composite electrons in the fractional quantum Hall effect.

PACS
11.10.-z - Field theory.
74.20.Mn - Nonconventional mechanisms (spin fluctuations, polarons and bipolarons, resonating valence bond model, anyon mechanism, marginal Fermi liquid, Luttinger liquid, etc.).
05.30.Pr - Fractional statistics systems (anyons, etc.).

© EPLA 2008