Equilibrium phase transitions in Josephson junction arrays
I review several problems dealing with the equilibrium behavior of classical two dimensional Josephson junction arrays in applied magnetic fields. Specific attention is given to the cases of a uniform field with average flux density per unit cell of f=0, f=1/2, f=1/q and f=1/2−1/q. Several models incorporating the effects of randomness on the Josephson array are also reviewed. These include the case of a random vortex pinning potential and its effects on vortex lattice order, and the spin glass, gauge glass, and positionally disordered array.
KeywordsVortex Lattice Melting Transition Triangular Grid Order Line Charge Lattice
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