Superconducting dc SQUID interferometer in magnetic field
Abstract
The theory of a superconducting quantum interferometer placed in an external magnetic field H e, which takes into account the finite geometrical dimensions of the system (the width of tunnel junctions) L1 and L2, and the inner surface of the interferometer's ring σ is presented. The exact equations describing the behaviour of a finite dimensions interferometer are formulated. In the limit of a strong external field ( He ≫ 1), the analytical solution of the problem is given. The dependences of the critical stationary current Imax, which passes through the interferometer are expressed as a function of the external field He for different values of L1, L2, σ. The dependence of the internal magnetic field inside the interferometer H0 as a function of He and transport current I is found. In the limiting case of point contacts ( L1 = L2 ≪ 1) a comparison of the results obtained in the present paper and of previous results on this subject is made.
- Publication:
-
Cryogenics
- Pub Date:
- June 1980
- DOI:
- Bibcode:
- 1980Cryo...20..329Z
- Keywords:
-
- Electric Current;
- Magnetic Effects;
- Magnetic Fields;
- Squid (Detectors);
- Current Density;
- Eigenvalues;
- Electron Tunneling;
- Josephson Junctions;
- Magnetic Flux;
- Instrumentation and Photography