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Nature of Resistive Transitions in Josephson Networks in a Magnetic Field

Joseph P. Straley, Alexander Y. Morozov, Eugene B. Kolomeisky

DOI 10.1103/PhysRevLett.79.2534 · Physical Review Letters

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Abstract

We study the depinning of the vortices induced in a Josephson network by a magnetic field. A vortex crystal can be pinned when it can be made commensurate with the network potential by rotation; this can occur only when the number of vortices per unit cell p/q is constructed from special values of the integers p and q. For these cases the transition can be of roughening type; however, melting of the vortex crystal is an important competing process that changes the nature of the transition for q<16 (square lattice) or q<12 (hexagonal lattice). For the other values of p and q there can be a spontaneous deformation of the vortex crystal to a commensurable structure if the network potential is sufficiently large.

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