Josephson-junction networks and roughening problems

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Abstract

We discuss the phase diagram of regular networks of quantum mechanical Josephson junctions in one and two dimensions for different choices of the Coulomb interaction between pairs. In a particular case this is equivalent to a quantum interface with lateral tunneling along the boundary. Using a functional integral approach the partition function is transformed into that of classical roughening or Coulomb gas problems. It is shown, in particular, that the structure of the phase diagram depends crucially on the form of the Coulomb interaction and that with dissipative interactions both globally and locally superconducting phases are possible. The relation of our results to recent experiments on granular superconducting films and ideal Josephson junction arrays is discussed briefly.

Original languageEnglish
Pages (from-to)111-123
Number of pages13
JournalZeitschrift für Physik B Condensed Matter
Volume78
Issue number1
DOIs
StatePublished - Feb 1990
Externally publishedYes

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