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Quantum coherence and phase transitions in granular superconductors with dissipation. I. Ordered arrays

Journal Article · · Journal of Low Temperature Physics; (USA)
DOI:https://doi.org/10.1007/BF00683713· OSTI ID:7243103
;  [1]
  1. P. N. Lebedev Physical Institute of the USSR, Moscow (USSR)

The authors investigate the effect of dissipative currents on a superconducting phase transition in two- and three-dimensional granular arrays. They find the corresponding phase diagrams and show that, depending on dissipation, both long-range and local quantum fluctuations may be effective in destroying the global phase coherence. For large values of charging-to-Josephson coupling energy ratio and at T = 0, they find the universal critical resistance R{sub c} only for three dimensional arrays while for two dimensional ones R{sub c}{sup {minus}1} diverges logarithmically with increasing of the grain charging energy. For large values of a Josephson coupling energy, quantum phase slip effects play the main role and lead to the universal critical resistance in both cases. They also investigate the effect of dissipation on the critical temperature of the XY model phase transition and show that strong dissipation is extremely effective in suppressing quantum effects.

OSTI ID:
7243103
Journal Information:
Journal of Low Temperature Physics; (USA), Journal Name: Journal of Low Temperature Physics; (USA) Vol. 75:5-6; ISSN 0022-2291; ISSN JLTPA
Country of Publication:
United States
Language:
English