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 language||English (US)|
|Number of pages||12|
|Journal||Zhurnal Eksperimental'noj i Teoreticheskoj Fiziki|
|State||Published - Dec 1 1999|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)