Phase boundaries of three-dimensional superconducting networks in a magnetic field

✍ Scribed by Yasumasa Hasegawa; Mahito Kohmoto; Gilles Montambaux

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 132 KB
• Volume: 194-196
• Category: Article
• ISSN: 0921-4526
• DOI: 10.1016/0921-4526(94)91237-8

✦ Synopsis

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.