Statics and Dynamics of Vortex Matter with Competing Repulsive and Attractive Interactions

  • C. Reichhardt
  • J. Drocco
  • C. J. Olson Reichhardt
  • A. R. Bishop
Original Paper


We numerically examine vortex matter with repulsive interactions at short range and attractive interactions at long range in the presence of periodic pinning arrays. Such competing vortex interactions are predicted to occur in multiband superconductors or type-I and type-II hybrid materials. For weak pinning, the vortices form cluster states, while for strong pinning, the vortices form uniform states in which flux is evenly distributed among the pinning sites. As a function of external drive, the weak pinning system exhibits clump depinning with no structure changes, while the strong pinning system depins into a disordered fluctuating state followed by a transition to a partially aligned stripe state. For weak pinning, there is a single peak in the differential conductivity, while for strong pinning there are two peaks, indicating that transport curves could be used to distinguish between vortex systems with purely repulsive interactions and those with additional long range attractive interactions.


Vortex pinning Competing interactions 



This work was carried out under the auspices of the NNSA of the US DoE at LANL under Contract No. DE-AC52-06NA25396.


  1. 1.
    Brandt, E.H., Das, M.P.: J. Supercond. Nov. Magn. 24, 57 (2011) CrossRefGoogle Scholar
  2. 2.
    Koshelev, A.E., Vinokur, V.M.: Phys. Rev. Lett. 73, 3580 (1994) ADSCrossRefGoogle Scholar
  3. 3.
    Olson, C.J., Reichhardt, C., Nori, F.: Phys. Rev. Lett. 81, 3757 (1998) ADSCrossRefGoogle Scholar
  4. 4.
    Giamarchi, T., Le Doussal, P.: Phys. Rev. Lett. 76, 3408 (1996) ADSCrossRefGoogle Scholar
  5. 5.
    Moshchalkov, V., Menghini, M., Nishio, T., Chen, Q.H., Silhanek, A.V., Dao, V.H., Chibotaru, L.F., Zhigadlo, N.D., Karpinski, J.: Phys. Rev. Lett. 102, 117001 (2009) ADSCrossRefGoogle Scholar
  6. 6.
    Babaev, E., Carlström, J., Speight, M.J.: Phys. Rev. Lett. 105, 067003 (2010) ADSCrossRefGoogle Scholar
  7. 7.
    Silaev, M., Babaev, E.: Phys. Rev. B 84, 094515 (2011) ADSCrossRefGoogle Scholar
  8. 8.
    Carlström, J., Garaud, J., Babaev, E.: Phys. Rev. B 84, 134518 (2011) ADSCrossRefGoogle Scholar
  9. 9.
    Chaves, A., Komendová, L., Milosevic, M.V., Andrade, J.S., Farias, G.A., Peeters, F.M.: Phys. Rev. B 83, 214523 (2011) ADSCrossRefGoogle Scholar
  10. 10.
    Lin, S.-Z., Hu, X.: Phys. Rev. B 84, 214505 (2011) ADSCrossRefGoogle Scholar
  11. 11.
    Nishio, T., Dao, V.H., Chen, Q., Chibotaru, L.F., Kadowaki, K., Moshchalkov, V.V.: Phys. Rev. B 81, 020506(R) (2010) ADSGoogle Scholar
  12. 12.
    Li, L.J., Nishio, T., Xu, Z.A., Moshchalkov, V.V.: Phys. Rev. B 83, 224522 (2011) ADSCrossRefGoogle Scholar
  13. 13.
    Gutierrez, J., Raes, B., Silhanek, A.V., Li, L.J., Zhigadlo, N.D., Karpinski, J., Tempere, J., Moshchalkov, V.V.: Phys. Rev. B 85, 094511 (2012) ADSCrossRefGoogle Scholar
  14. 14.
    Babaev, E., Speight, M.J.: Phys. Rev. B 72, 180502(R) (2005) ADSCrossRefGoogle Scholar
  15. 15.
    Zhao, H.J., Misko, V.R., Peeters, F.M.: arXiv:1107.0699
  16. 16.
    Baret, M., Metlushko, V.V., Jonckheere, R., Moshchalkov, V.V., Bruynseraede, Y.: Phys. Rev. Lett. 74, 3269 (1995) ADSCrossRefGoogle Scholar
  17. 17.
    Harada, K., Kamimura, O., Kasai, H., Matsuda, T., Tonomura, A., Moshchalkov, V.V.: Science 274, 1167 (1996) ADSCrossRefGoogle Scholar
  18. 18.
    Karapetrov, G., Fedor, J., Iavarone, M., Rosenmann, D., Kwok, W.K.: Phys. Rev. Lett. 95, 167002 (2005) ADSCrossRefGoogle Scholar
  19. 19.
    Reichhardt, C., Zimányi, G.T., Scalettar, R.T., Hoffmann, A., Schuller, I.K.: Phys. Rev. B 64, 052503 (2001) ADSCrossRefGoogle Scholar
  20. 20.
    Berdiyorov, G.R., Milosevic, M.V., Peeters, F.M.: Phys. Rev. B 74, 174512 (2006) ADSCrossRefGoogle Scholar
  21. 21.
    Yetis, H.: Eur. Phys. J. B 83, 93 (2011) ADSCrossRefGoogle Scholar
  22. 22.
    Reichhardt, C., Olson, C.J., Nori, F.: Phys. Rev. Lett. 78, 2648 (1997) ADSCrossRefGoogle Scholar
  23. 23.
    Guiterrez, J., Silhanek, A.V., Van de Vondel, J., Gillijns, W., Moshchalkov, V.V.: Phys. Rev. B 80, 140514(R) (2009) ADSGoogle Scholar
  24. 24.
    Reichhardt, C., Olson Reichhardt, C.J., Martin, I., Bishop, A.R.: Phys. Rev. Lett. 90, 026401 (2003) ADSCrossRefGoogle Scholar
  25. 25.
    Reichhardt, C., Olson, C.J., Martin, I., Bishop, A.R.: Europhys. Lett. 61, 221 (2003) ADSCrossRefGoogle Scholar
  26. 26.
    Olson Reichhardt, C.J., Reichhardt, C., Bishop, A.R.: Phys. Rev. E 82, 041502 (2010) ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • C. Reichhardt
    • 1
  • J. Drocco
    • 1
  • C. J. Olson Reichhardt
    • 1
  • A. R. Bishop
    • 1
  1. 1.Center for Nonlinear Studies and Theoretical DivisionLos Alamos National LaboratoryLos AlamosUSA

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