- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

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

Bongsoo Kim

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

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

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

  • *nogawa@serow.t.u-tokyo.ac.jp
PDF

Phys. Rev. E 85, 051132 – Published 22 May, 2012

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

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.

View figure in article

Article Text

References (22)

  1. G. Tarjus, S. A. Kivelson, Z. Nussinov, and P. Viot, J. Phys.: Condens. Matter 17, 1143 (2005).
  2. Geometrical Frustration, edited by J. F. Sadoc and R. Mosseri (Cambridge University Press, Cambridge, 1999).
  3. Introduction to Superconductivity, edited by M. Tinkham (Dover, New York, 2004).
  4. T. Nogawa and K. Nemoto, Phys. Rev. B 73, 184504 (2006).
  5. M. Hayashi, H. Ebisawa, and K. Kuboki, Europhys. Lett. 76, 264 (2006).
  6. J. P. Straley and G. M. Barnett, Phys. Rev. B 48, 3309 (1993).
  7. S. Y. Park, M. Y. Choi, B. J. Kim, G. S. Jeon, and J. S. Chung, Phys. Rev. Lett. 85, 3484 (2000).
  8. E. Granato, Phys. Rev. B 75, 184527 (2007).
  9. E. Granato, Phys. Rev. Lett. 101, 027004 (2008).
  10. T. C. Halsey, Phys. Rev. Lett. 55, 1018 (1985).
  11. B. Kim and S. J. Lee, Phys. Rev. Lett. 78, 3709 (1997).
  12. H. Yoshino, T. Nogawa, and B. Kim, New J. Phys. 11, 013010 (2009).
  13. H. Yoshino, T. Nogawa, and B. Kim, Phys. Rev. Lett. 105, 257004 (2010).
  14. H. Yoshino, T. Nogawa, and B. Kim, Prog. Theor. Phys. Suppl. 184, 153 (2010).
  15. S. Saito and T. Osada, Physica B 284-288, 614 (2000).
  16. M. Peyrard and S. Aubry, J. Phys. C 16, 1593 (1983).
  17. T. C. Halsey, Phys. Rev. B 31, 5728 (1985).
  18. P. Gupta, S. Teitel, and M. J. P. Gingras, Phys. Rev. Lett. 80, 105 (1998).
  19. S. J. Lee, J. R. Lee, and B. Kim, Phys. Rev. Lett. 88, 025701 (2001).
  20. L. M. Floria and J. J. Mazo, Adv. Phys. 45, 505 (1996).
  21. S. N. Coppersmith and D. S. Fisher, Phys. Rev. B 28, 2566 (1983).
  22. R. S. MacKay, Physica D 50, 71 (1991).

Outline

Information

Phys. Rev. E 85, 051132– Published 22 May, 2012
  • Received 12 March 2012

©2012 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation