Number theory implications on the physical properties of elementary cubic networks of Josephson junctions
Roberto De Luca, Giuliano Gargiulo, Francesco Romeo
DOI 10.1103/PhysRevB.68.092511 · Physical Review B
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Abstract
Number theory concepts are used to investigate the periodicity properties of the voltage vs applied flux curves of elementary cubic networks of Josephson junctions. It is found that equatorial gaps appearing on the unitary sphere, on which points representing the directions in space for which these curves show periodicity are collected, can be understood by means of Gauss condition on the sum of the squares of three integers.
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