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A scenario to the anomalous Hall effect in the mixed state of superconductors

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Abstract

We argue that the motion of vacancies in a pinned vortex lattice may dominate the contribution to the Hall effect in an appropriate parameter regime for a superconductor. Based on this consideration a model is constructed to explain the anomalous Hall effect without any modification of the basic vortex dynamic equation. Quantitative predictions are obtained. Present model can be directly tested by an observation of the vacancy motion.

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References

  1. Superconductivity, Vol. II, edited by R.D. Parks (Marcel Dekker, New York, 1969).

    Google Scholar 

  2. See, for example, S.J. Hagenet al., Phys. Rev.B47, 1064 (1993), for both experimental and theoretical overviews.

    Google Scholar 

  3. P. Ao and D.J. Thouless, Phys. Rev. Lett.70, 2158 (1993); D.J. Thouless, P. Ao, and Q. Niu, PhysicaA200, 42 (1993); P. Ao, Q. Niu, and D.J. Thouless, PhysicaB194–196, 1453 (1994).

    Google Scholar 

  4. J. Bardeen and M.J. Stephen, Phys. Rev.140, A1197 (1965); P. Nozières and W.F. Vinen, Phil. Mag.14, 667 (1966).

    Google Scholar 

  5. P. Ao and D.J. Thouless, Phys. Rev. Lett.72, 132 (1994); M.J. Stephen,ibid, 1534 (1994).

    Google Scholar 

  6. P.G. de Gennes,Superconductivity of Metals and Alloys (Addison-Wesley, Reading, 1966).

    Google Scholar 

  7. E.H. Brandt,Phys. Rev. B34, 6514 (1986).

    Google Scholar 

  8. J. Friedel,Dislocations(Addison-Wesley, Reading, 1964).

    Google Scholar 

  9. E.H. Brandt, Phys. Stat. Sol.36, 371 (1969); D.C. Hill, D.D. Morrison, and R.M. Rose, J. Appl. Phys.40, 5160 (1969).

    Google Scholar 

  10. H. Träuble and U. Essmann, Phys. Status Solidi18, 813 (1966); I.V. Grigor'eva, Sov. Phys. JETP69, 194 (1989).

    Google Scholar 

  11. A.T. Dorsey and M.P.A. Fisher, Phys. Rev. Lett.68, 694 (1992); V.M. Vinokuret al., ibid 71, 1242 (1993).

    Google Scholar 

  12. S.J. Hagenet al., Phys. Rev.B42, 6777 (1990); H.-C. Riet al., ibid B50, 3312 (1994).

    Google Scholar 

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Ao, P. A scenario to the anomalous Hall effect in the mixed state of superconductors. J Supercond 8, 503–506 (1995). https://doi.org/10.1007/BF00722841

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  • DOI: https://doi.org/10.1007/BF00722841

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