Topological Order in Frustrated Josephson Junction Arrays

M. C. Diamantini; P. Sodano; C. A. Trugenberger

doi:10.1209/0295-5075/83/21003

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arXiv · 0806.0329

Topological Order in Frustrated Josephson Junction Arrays

M. C. Diamantini·P. Sodano·C. A. Trugenberger

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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.

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M. C. Diamantini, P. Sodano, C. A. Trugenberger. 2008-06-02. Topological Order in Frustrated Josephson Junction Arrays. https://doi.org/10.1209/0295-5075/83/21003

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