Topological Order in Frustrated Josephson Junction Arrays

Details Topological Order in Frustrated Josephson Junction Arrays Topological Order in Frustrated Josephson Junction Arrays

2008-06-02

arxiv.org/abs/0806.0329v1

Europhys.Lett.83:21003,2008

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages; to appear in EPL

Scientific paper

10.1209/0295-5075/83/21003

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.

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