Quantum Glass Transition in a Periodic Long-Range Josephson Array

Details Quantum Glass Transition in a Periodic Long-Range Josephson Array Quantum Glass Transition in a Periodic Long-Range Josephson Array

1999-02-11

arxiv.org/abs/cond-mat/9902175v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, Latex, 3 figures in separated eps-files

Scientific paper

10.1134/1.559041

We show that the ground state of the periodic long range Josephson array frustrated by magnetic field is a glass for a sufficiently large Josephson energies despite the absence of a quenched disorder. Like superconductors, this glass state has non-zero phase stiffness and Meissner response; for smaller Josephson energies the glass "melts" and the ground state loses the 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, the frequency-dependent magnetic susceptibility behaves as \chi(\omega) ~ \sqrt{\omega}\ln{\omega}.

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