6533b820fe1ef96bd1279c3b

RESEARCH PRODUCT

Number theory implications on the physical properties of elementary cubic networks of Josephson junctions

Roberto De LucaFrancesco RomeoGiuliano Gargiulo

subject

Josephson effectPhysicsPi Josephson junctionNumber theoryQuantum mechanicsMathematical analysisGaussSuperconducting tunnel junctionFluxSpace (mathematics)Unitary state

description

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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