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Dynamical phase transition in two-dimensional fully frustrated Josephson junction arrays with resistively shunted junction dynamics

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Abstract.

The dynamical phase transitions in two-dimensional fully frustrated Josephson junction arrays at zero temperature are investigated numerically with the resistively shunted junction model through the fluctuating twist boundary condition. The model is subjected to a driving current with nonzero orthogonal components i x , i y parallel to both axes of the square lattice. We find a roughly lattice size independent phase diagram with three dynamical phases: a pinned vortex lattice phase, a moving vortex lattice phase and a moving plastic phase. The phase diagram shows a direct transition from the pinned vortex to the moving vortex phase and the separation of the pinned vortex and the moving plastic phases. The time-dependent voltages v x and v y are periodic in the moving vortex lattice phase. But they are aperiodic in the moving plastic phase, resulting in non-monotonic characteristics and hysteresis in the current-voltage curves. It is found that the characteristic frequency is twice the time-averaged voltage in the moving vortex phase and around the time-averaged voltage in the plastic flow regime.

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References

  1. H.S.J. van der Zant, H.A. Zant, H.A. Rijken, J.E. Mooij, J. Low Temp. Phys. 79, 289 (1990)

    Google Scholar 

  2. J.S. Chung, K.H. Lee, D. Stroud, Phys. Rev. B 40, 6570 (1989)

    Article  Google Scholar 

  3. W. Yu, K.H. Lee, D. Stroud, Phys. Rev. B 47, 5906 (1993)

    Article  Google Scholar 

  4. D. Domínguez, Phys. Rev. Lett. 72, 3096 (1994)

    Article  Google Scholar 

  5. M. Franz, S. Teitel, Phys. Rev. Lett. 73, 480 (1994)

    Article  Google Scholar 

  6. K.D. Fisher, D. Stroud, L. Janin, Phys. Rev. B 60, 15371 (1999)

    Article  Google Scholar 

  7. J.P. Straley, E.B. Kolomeisky, Phys. Rev. B 61, 92 (2000)

    Article  Google Scholar 

  8. V.I. Marconi, D. Domínguez, Phys. Rev. Lett. 87, 17004 (2001)

    Article  Google Scholar 

  9. P. Minnhagen, Rev. Mod. Phys. 59, 1001 (1987)

    Article  Google Scholar 

  10. M.S. Rzchowski, L.L. Sohn, M. Tinkham, Phys. Rev. B 43, 8682 (1991)

    Article  Google Scholar 

  11. K.H. Lee, D. Stroud, S.M. Girvin, Phys. Rev. B 48, 1233 (1993)

    Article  Google Scholar 

  12. D. Domínguez, Phys. Rev. Lett. 82, 181 (1999)

    Article  Google Scholar 

  13. B.J. Kim, Phys. Rev. B 63, 24503 (2000)

    Article  Google Scholar 

  14. L.M. Jensen, B.J. Kim, P. Minnhagen, Europhys. Lett. 49, 644 (2000)

    Google Scholar 

  15. V.I. Marconi, D. Domínguez, Phys. Rev. Lett. 82, 4922 (1999)

    Article  Google Scholar 

  16. V.I. Marconi, D. Domínguez, Phys. Rev. B 63, 174509 (2001)

    Article  Google Scholar 

  17. K. Wan, A.K. Jain, J.E. Lukens, Appl. Phys. Lett. 54, 1805 (1989)

    Article  Google Scholar 

  18. G. Filatrella, J. Appl. Phys. 78, 1878 (1995)

    Article  Google Scholar 

  19. B.R. Trees, D. Stroud, Phys. Rev. B 59, 7108 (1999)

    Article  Google Scholar 

  20. G. Blatter, M.V. Feigel’man, V.B. Geshkenbein, Rev. Mod. Phys. 68, 1125 (1994)

    Article  Google Scholar 

  21. S. Bhattacharya, M.J. Higgins, Phys. Rev. B 52, 64 (1995)

    Article  Google Scholar 

  22. M.J. Higgins, S. Bhattacharya, Physica C 257, 232 (1996)

    Article  Google Scholar 

  23. M.C. Faleski, M.C. Marchetti, A.A. Middleton, Phys. Rev. B 54, 12427 (1996)

    Article  Google Scholar 

  24. S. Ryu, M. Hellerqvist, S. Doniach, A. Kapitulnik, D. Stroud, Phys. Rev. Lett. 77, 5114 (1996)

    Article  Google Scholar 

  25. C.J. Olson, C. Reichhardt, F. Nori, Phys. Rev. Lett. 81, 3757 (1998)

    Article  Google Scholar 

  26. T. Giamarchi, P. Le Doussal, Phys. Rev. Lett. 76, 3408 (1996)

    Article  Google Scholar 

  27. K. Moon, R.T. Scalettar, G.T. Zimányi, Phys. Rev. Lett. 77, 2778 (1996)

    Article  Google Scholar 

  28. S. Teitel, C. Jayaprakash, Phys. Rev. Lett. 51, 1999 (1983)

    Article  Google Scholar 

  29. S.P. Benz, M.S. Rzchowski, M. Tinkham, C.J. Lobb, Phys. Rev. B 42, 6165 (1990)

    Article  Google Scholar 

  30. B.J. Kim, P. Minnhagen, Phys. Rev. B 60, 588 (1999)

    Article  Google Scholar 

  31. P. Olsson, Phys. Rev. B 46, 14598 (1992)

    Article  Google Scholar 

  32. B.J. Kim, P. Minnhagen, P. Olsson, Phys. Rev. B 59, 11506 (1999)

    Article  Google Scholar 

  33. Q.-H. Chen, L.-H. Tang, P. Tong, Phys. Rev. Lett. 87, 67001 (2001)

    Article  Google Scholar 

  34. A. Petraglia, G. Filatrella, G. Rotoli, Phys. Rev. B 53, 2732 (1996)

    Article  Google Scholar 

  35. J. Holzer, R.S. Newrock, C.J. Lobb, T. Aouaroun, S.T. Herbert, Phys. Rev. B 63, 184508 (2001)

    Article  Google Scholar 

  36. C.J. Olson, C. Reichhardt, Phys. Rev. B 61, R3811 (1999)

  37. C.J. Lobb, D.W. Abraham, M. Tinkham, Phys. Rev. B 27, 150 (1983)

    Article  Google Scholar 

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Correspondence to M.-B. Luo.

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Received: 29 May 2003, Published online: 2 October 2003

PACS:

64.60.Ht Dynamic critical phenomena - 74.25.Sv Critical currents - 74.25.Fy Transport properties

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Luo, MB., Chen, QH. Dynamical phase transition in two-dimensional fully frustrated Josephson junction arrays with resistively shunted junction dynamics. Eur. Phys. J. B 35, 201–207 (2003). https://doi.org/10.1140/epjb/e2003-00269-1

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