Journal of Low Temperature Physics

, Volume 162, Issue 5–6, pp 464–475 | Cite as

Glide and Superclimb of Dislocations in Solid 4He

Article

Abstract

Glide and superclimb—climb assisted by superfluidity along dislocation core—of quantum dislocations are studied by Monte Carlo simulations of the effective string model subjected to Peierls potential, tilting and external force. Close to critical stresses, corresponding to creation of kink-antikink pairs, gliding non-tilted dislocation exhibits resonant roughening. At finite tilts gliding dislocation remains quantum rough which leads to effective softening of dislocation tension and, consequently, to softening of shear modulus at low temperatures (T). This effect is interpreted as (quasi) Bose-Einstein condensation of extra kinks introduced by tilting. For superclimbing dislocation, at T where the core superfluidity still persists and Peierls barrier becomes irrelevant giant values of the compressibility as well as non-Luttinger type behavior of the core superfluid are observed. Crossover to standard Luttinger liquid occurs at low T where Peierls potential becomes relevant. Tilted superclimb is discussed as well.

Keywords

Supersolid Quantum dislocations Roughening Glide Superclimb 

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References

  1. 1.
    E. Kim, M.H.W. Chan, Nature 427, 225 (2004) CrossRefADSGoogle Scholar
  2. 2.
    E. Kim, M.H.W. Chan, Science 305, 1941 (2004) CrossRefADSGoogle Scholar
  3. 3.
    A.F. Andreev, I.M. Lifshitz, Sov. Phys. JETP 29, 1107 (1969) ADSGoogle Scholar
  4. 4.
    D.J. Thouless, Ann. Phys. 52, 403 (1969) CrossRefADSGoogle Scholar
  5. 5.
    G.V. Chester, Phys. Rev. A 2, 256 (1970) CrossRefADSGoogle Scholar
  6. 6.
    M. Boninsegni et al., Phys. Rev. Lett. 96, 105301 (2006) CrossRefADSGoogle Scholar
  7. 7.
    B.K. Clark, D.M. Ceperley, Phys. Rev. Lett. 96, 105302 (2006) CrossRefADSGoogle Scholar
  8. 8.
    M. Boninsegni et al., Phys. Rev. Lett. 97, 080401 (2006) CrossRefADSGoogle Scholar
  9. 9.
    S. Balibar, F. Caupin, J. Phys., Condens. Matter 20, 173201 (2008) CrossRefADSGoogle Scholar
  10. 10.
    S.I. Shevchenko, Sov. J. Low Temp. Phys. 13, 61 (1987) Google Scholar
  11. 11.
    L. Pollet et al., Phys. Rev. Lett. 98, 135301 (2007) CrossRefADSGoogle Scholar
  12. 12.
    M. Boninsegni et al., Phys. Rev. Lett. 99, 035301 (2007) CrossRefADSGoogle Scholar
  13. 13.
    L. Pollet et al., Phys. Rev. Lett. 101, 269901 (2008) CrossRefADSGoogle Scholar
  14. 14.
    S.G. Söyler et al., Phys. Rev. Lett. 103, 175301 (2009) CrossRefADSGoogle Scholar
  15. 15.
    V.M. Nabutovskii, V.Ya. Shapiro, Sov. Phys. JETP 48, 480 (1978) ADSGoogle Scholar
  16. 16.
    A.T. Dorsey et al., Phys. Rev. Lett. 96, 055301 (2006) CrossRefADSGoogle Scholar
  17. 17.
    J. Toner, Phys. Rev. Lett. 100, 035302 (2008) CrossRefADSGoogle Scholar
  18. 18.
    M. Boninsegni et al., Phys. Rev. Lett. 96, 105301 (2006) CrossRefADSGoogle Scholar
  19. 19.
    G. Biroli et al., Phys. Rev. B 78, 224306 (2008) CrossRefADSGoogle Scholar
  20. 20.
    Z. Nussinov, Physics 1, 40 (2008) CrossRefMathSciNetGoogle Scholar
  21. 21.
    J. Friedel, Dislocations (Pergamon, New York, 1964) MATHGoogle Scholar
  22. 22.
    J. Day, J. Beamish, Nature 450, 853 (2007) CrossRefADSGoogle Scholar
  23. 23.
    J. Day, O. Syshchenko, J. Beamish, Phys. Rev. B 79, 214524 (2009) CrossRefADSGoogle Scholar
  24. 24.
    M.W. Ray, R.B. Hallock, Phys. Rev. Lett. 100, 235301 (2008) CrossRefADSGoogle Scholar
  25. 25.
    M.W. Ray, R.B. Hallock, Phys. Rev. B 79, 224302 (2009) CrossRefADSGoogle Scholar
  26. 26.
    D. Aleinikava et al., Europhys. Lett. 89, 46002 (2010). arXiv:0812.0983 CrossRefADSGoogle Scholar
  27. 27.
    M. Wallin et al., Phys. Rev. B 49, 12115 (1994) CrossRefADSGoogle Scholar
  28. 28.
    N.V. Prokof’ev, B.V. Svistunov, Phys. Rev. Lett. 87, 160601 (2001) CrossRefADSGoogle Scholar
  29. 29.
    J.P. Hirth, J. Lothe, Theory of Dislocations (McGraw-Hill, New York, 1968) Google Scholar
  30. 30.
    A.M. Kosevich, The Crystal Lattice: Phonons, Solitons, Dislocations, Superlattices (Wiley, New York, 2005) CrossRefGoogle Scholar
  31. 31.
    A. Granato, K. Lücke, J. Appl. Phys. 27, 583 (1956) MATHCrossRefADSGoogle Scholar
  32. 32.
    A. Granato, K. Lücke, J. Appl. Phys. 27, 789 (1956) CrossRefADSGoogle Scholar
  33. 33.
    J. Lothe, J.P. Hirth, Phys. Rev. 115, 543 (1959) MATHCrossRefADSGoogle Scholar
  34. 34.
    B.V. Petukhov, V.L. Pokrovskii, J. Exp. Theor. Phys. 36, 336 (1973) ADSGoogle Scholar
  35. 35.
    X. Rojas et al., Phys. Rev. Lett. 105, 145302 (2010) CrossRefADSGoogle Scholar
  36. 36.
    X. Rojas et al., J. Low Temp. Phys. 158, 478 (2010) CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Physics and EngineeringCollege of Staten Island, CUNYStaten IslandUSA

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