Quantum glass transition in a periodic long-range Josephson array
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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 \(\chi (\omega ) \propto \sqrt \omega \ln \omega\).
KeywordsMagnetic Field Phase Transition Field Theory Elementary Particle Glass Transition
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