Quantum glass transition in a periodic long-range Josephson array

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−J _c )², and the frequency-dependent magnetic susceptibility behaves as . Zh. éksp. Teor. Fiz. 116, 1450–1461 (October 1999) Published in English in the original Russian journal. Reproduced here with stylistic changes by the Translation Editor.