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date: 17 November 2019

Abstract and Keywords

This article examines many novel effects related to the magnetic, electric, elastic and transport properties of Josephson nanocontacts and nanogranular superconductors using a realistic model of two-dimensional Josephson junction arrays. The arrays were created by a 2D network of twin-boundary dislocations with strain fields acting as an insulating barrier between hole-rich domains in underdoped crystals. The article first describes a model of nanoscopic Josephson junction arrays before discussing some interesting phenomena, including chemomagnetism and magnetoelectricity, electric analog of the ‘fishtail‘ anomaly and field-tuned weakening of the chemically induced Coulomb blockade, a giant enhancement of the non-linear thermal conductivity in 2D arrays, and thermal expansion of a singleJosephson contact.

Keywords: Josephson nanocontacts, nanogranular superconductors, Josephson junction arrays, twin-boundary dislocations, chemomagnetism, magnetoelectricity, fishtail anomaly, Coulomb blockade, thermal conductivity, thermal expansion

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