Commensurate states in quasicrystalline superconducting networks
Xiao-Dun Jing, Zhao-Qing Zhang
DOI 10.1103/PhysRevB.40.4384 · Physical Review B
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Abstract
By using the theory of de Gennes and Alexander, the commensurate states of the fluxoid configuration on the phase boundaries of superconducting networks with the Fibonacci pattern are studied explicitly for one- and two-strip geometries. The case in which the network contains three tiles with irrational ratios of areas is also studied. Our numerical results strongly indicate that the amplitude of the wave function of a commensurate state has two-cycle self-similar behavior. The locations of the magnetic field where the commensurate states may occur in an M-strip network are also predicted.
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