Topological order in frustrated Josephson junction arraysM. 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
received 14 February 2008; accepted in final form 2 June 2006; published July 2008
published online 7 July 2008
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.
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.).
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