Abstract
The symmetry properties of superconducting micronetworks in a magnetic field are analyzed. The solutions of the linearized Ginzburg Landau equations can be classified according to the irreducible representations of the magnetic group. It is shown that planar networks do not have more symmetries than the corresponding ladders or strips. As a consequence there are several features of the spectra of the planar networks which are already contained in those of the much simpler ladder structures. In particular the symmetry properties of the spectra are the same in both cases. The density of states can also be seen to show similarities. In this connection it is argued how the spectra for a triangular lattice and ladder evolve from those of the square structures taking into account their symmetries
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