Transition by breaking of analyticity in the ground state of Josephson junction arrays as a static signature of the vortex jamming transition

Tomoaki Nogawa, Hajime Yoshino, and Bongsoo Kim
Phys. Rev. E 85, 051132 – Published 22 May 2012

Abstract

We investigate the ground state of the irrationally frustrated Josephson junction array with a controlling anisotropy parameter λ that is the ratio of the longitudinal Josephson coupling to the transverse one. We find that the ground state has one-dimensional periodicity whose reciprocal lattice vector depends on λ and is incommensurate with the substrate lattice. Approaching the isotropic point λ=1, the so-called hull function of the ground state exhibits analyticity breaking similar to the Aubry transition in the Frenkel-Kontorova model. We find a scaling law for the harmonic spectrum of the hull functions, which suggests the existence of a characteristic length scale diverging at the isotropic point. This critical behavior is directly connected to the jamming transition previously observed in the current-voltage characteristics by a numerical simulation. On top of the ground state there is a gapless continuous band of metastable states, which exhibit the same critical behavior as the ground state.

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  • Received 12 March 2012

DOI:https://doi.org/10.1103/PhysRevE.85.051132

©2012 American Physical Society

Authors & Affiliations

Tomoaki Nogawa*

  • Department of Applied Physics, The University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan

Hajime Yoshino

  • Department of Earth and Space Science, Faculty of Science, Osaka University, Toyonaka 560-0043, Japan

Bongsoo Kim

  • Department of Physics, Changwon National University, Changwon 641-773, Korea

  • *nogawa@serow.t.u-tokyo.ac.jp

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Vol. 85, Iss. 5 — May 2012

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