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Quantum Glass Transition in a Periodic Long-Range Josephson Array

D. M. Kagan·L. B. Ioffe·M. V. Feigel'man
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Abstract

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 χ(ω) ~ \sqrtω\lnω.

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D. M. Kagan, L. B. Ioffe, M. V. Feigel'man. 1999-02-11. Quantum Glass Transition in a Periodic Long-Range Josephson Array. https://doi.org/10.1134/1.559041

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