Journal of Experimental and Theoretical Physics

, Volume 89, Issue 4, pp 781–787 | Cite as

Quantum glass transition in a periodic long-range Josephson array

  • D. M. Kagan
  • M. V. Feigel’man
  • L. B. Ioffe
Electronic Properties


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 (JJ c )2, and the frequency-dependent magnetic susceptibility behaves as \(\chi (\omega ) \propto \sqrt \omega \ln \omega\).


Magnetic Field Phase Transition Field Theory Elementary Particle Glass Transition 
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Copyright information

© American Institute of Physics 1999

Authors and Affiliations

  • D. M. Kagan
    • 1
    • 3
  • M. V. Feigel’man
    • 1
  • L. B. Ioffe
    • 1
    • 2
  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia
  2. 2.Department of PhysicsRutgers UniversityPiscatawayUSA
  3. 3.ABBYYMoscowRussia

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