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Ground states of a frustrated kagomé array of Josephson junctions

Mohammad R. Kolahchi, Joseph P. Straley

DOI 10.1103/PhysRevB.66.144502 · Physical Review B

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Abstract

We study the ground state vortex lattices of a kagomé array of Josephson junctions in an external magnetic field. We give a simple model that accounts for the principal dependence of ground state energy on the density of vortices, and exhibit the exact ground state configurations for a sequence of special values. A Monte Carlo simulated annealing shows that there is very little further structure. For the special case f=AB/Φ0=1/2 it is known that there is an infinite degeneracy. We give a numerical technique for evaluating the zero temperature entropy.

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Al

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