Посилання:Temperature-dependent resistance of a finite one-dimensional Josephson junction array / Klas Engström Jari M. Kinaret // Физика низких температур. — 2002. — Т. 28, № 1. — С. 3-9. — Бібліогр.: 17 назв. — англ.
Підтримка:We wish to acknowledge fruitful discussions with, and insightful contributions from, Robert Shekhter, Sebastian Eggert, David Haviland, and Steven Girvin. Financial support was provided by the Swedish Foundation for Strategic Research (SSF) program «Quantum Devices and Nano-Science» and by the Swedish Natural Science Research Council.
We study theoretically the temperature and array-length dependences of the resistance of a finite one-dimensional array of Josephson junctions. We use both analytic approximations and numerical simulations, and conclude that within the self-charging model, all finite arrays are resistive in the low-temperature limit. A heuristic analysis shows qualitative agreement with resistance obtained from Monte Carlo simulations, establishing a connection between resistance and the occurrence of vortices in the corresponding 1 +1D XY-model. We compare our results with recent experiments and conclude that while the self-charging model reproduces some of the experimental observations, it underestimates the superconducting tendencies in the experimental structures.