Quantum glass transition in a periodic long-range Josephson array

D. M. Kagan, Lev Ioffe, M. V. Feigel'man

Research output: Contribution to journalArticle

6 Scopus citations


We show that the ground state of a periodic long-range Josephson array frustrated by a magnetic field is a glass for sufficiently large Josephson energies despite the absence of quenched disorder. Like superconductors, this glass state has non-zero phase stiffness and Meissner response; for lower Josephson energies the glass «melts» and the ground state loses its phase stiffness and becomes insulating. We find the critical scaling behavior near this quantum phase transition: the excitation gap vanishes as (J- Jc)2, and the frequency-dependent magnetic susceptibility behaves as χ(ω) ∝ √ωlnω.

Original languageEnglish (US)
Pages (from-to)1450-1461
Number of pages12
JournalZhurnal Eksperimental'noj i Teoreticheskoj Fiziki
Issue number4
StatePublished - Dec 1 1999

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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