Abstract
We investigate the phase boundaries of three-dimensional cubic superconducting networks made of thin wires and three-dimensional Josephson junction arrays. The transition temperature is calculated numerically by solving the eigenvalue problem which is a generalization of the two-dimensional Hofstadter problem. It is shown that the transition temperature depends not only on the amplitude of the magnetic field but also on its orientation, i.e. it has cusp-like maximum when any component of the flux is an integer or a rational number with a small denominator.
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