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Theory of the stationary macroscopic quantum behavior of inductively coupled superconducting weak links

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Abstract

A theory of the stationary response of a flux-controlled superconducting weak link is presented in the framework of reversible thermodynamics. The superconducting loop containing the weak link (SQUID)—considered as a “black box”—can be characterized by a nonlinear inductance ℒ s which uniquely describes the constitutive properties of the macroscopic quantum system. The influence of the temperature-dependent (nonsinusoidal) current-phase relation (CPR) on − s and on the stability of the SQUID when operated in the nonhysteretic mode is analyzed taking into account the full nonlinearity of the CPR. The model presented enables a rigorous circuit analysis, even in the case of a nonlinear flux transformer.

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Authors and Affiliations

  1. Technische Universität Berlin, Berlin, West Germany

    G. Brunk

  2. Phys.-Technishce Bundesanstalt, Institut Berlin, Berlin, West Germany

    H. Lübbig

Authors
  1. G. Brunk
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  2. H. Lübbig
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Brunk, G., Lübbig, H. Theory of the stationary macroscopic quantum behavior of inductively coupled superconducting weak links. J Low Temp Phys 47, 13–26 (1982). https://doi.org/10.1007/BF00682017

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  • DOI: https://doi.org/10.1007/BF00682017

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