Skip to main content
Log in

Morphology and Growth Kinetics of 3He Crystals Below 1 mK

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

The shapes as well as the growth and melting properties of bcc-3He single crystals have been investigated with a low temperature Fabry-Pérot interferometer. Eleven types of facets were clearly identified during slow crystal growth at the temperature of 0.55 mK, where the solid is in the antiferromagnetically ordered u2d2 phase. The growth rates of the individual facets have been measured and the results indicate significant growth anisotropy. The observed linear dependence of the growth velocity on the driving force shows that facets grow due to the presence of screw dislocations, while the step velocity is limited by the spin wave velocity due to the strong interaction of the moving step with magnons in the solid. The measured growth rates of the facets and the assumed growth mechanism gave us the unique opportunity to obtain the step free energies for ten different types of facets observed during a single growth sequence. The dependence of the free energy of the step on the step height is compared with predictions of the weak- and strong-coupling models. Our results suggest that 3He crystals have rather strong coupling of the liquid/solid interface to the crystal lattice and that the step-step interactions are of elastic origin.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. J. C. Heyraud and J. J. Métois, J. Cryst. Growth 82, 269 (1987).

    Google Scholar 

  2. J. Lapujoulade, J. Perreau, and A. Kara, Surface Science 129, 59 (1983).

    Google Scholar 

  3. C. Rottman, M. Wortis, J. C. Heyraud, and J. J. Métois, Phys. Rev. Lett. 52, 1009 (1984).

    Google Scholar 

  4. K. A. Jackson and C. E. Miller, J. Cryst. Growth 40, 169 (1977).

    Google Scholar 

  5. M. Elbaum, Phys. Rev. Lett. 67, 2982 (1991).

    Google Scholar 

  6. W.K. Burton, N. Cabrera and F.C. Frank, Philos. Trans. R. Soc. London 243A, 299 (1951).

    Google Scholar 

  7. P. Nozières, in Solids Far From Equilibrium, ed. C. Godrèche (Cambridge University Press, Cambridge, 1991).

    Google Scholar 

  8. K.O. Keshishev, A.Ya. Parshin, and A.V. Babkin, JETP Lett. 30, 56 (1979).

    Google Scholar 

  9. A.Ya. Parshin, in Low Temperature Physics, ed. A.S. Borovik-Romanov (MIR Publishers, Moscow, 1985) and references therein.

    Google Scholar 

  10. S. Balibar and P. Nozières, Solid State Comm. 92, 19 (1994) and references therein.

    Google Scholar 

  11. J.E. Avron, L.S. Balfour, C.G. Kuper, J. Landau, S.G. Lipson, and L.S. Schulman, Phys. Rev. Lett. 45, 814 (1980).

    Google Scholar 

  12. S. Balibar and B. Castaing, J. Physique Lett. 41, L-329 (1980).

    Google Scholar 

  13. J. Landau, S.G. Lipson, L.M. Määttänen, L.S. Balfour, and D.O. Edwards, Phys. Rev. Lett. 45, 31 (1980).

    Google Scholar 

  14. K.O. Keshishev, A.Ya. Parshin, and A.V. Babkin, JETP 53, 362 (1981).

    Google Scholar 

  15. P.E. Wolf, S. Balibar, and F. Gallet, Phys. Rev. Lett. 51, 1366 (1983).

    Google Scholar 

  16. J.P. Ruutu, P.J. Hakonen, A.V. Babkin, A.Ya. Parshin, and G. Tvalashvili, J. Low Temp. Phys. 112, 117 (1998).

    Google Scholar 

  17. P. Nozières and F. Gallet, J. Physique 48, 353 (1987).

    Google Scholar 

  18. S. Balibar, F. Gallet, F. Graner, C. Guthmann, and E. Rolley, Physica B 169, 209 (1991) and references therein.

    Google Scholar 

  19. L. Vitos, A.V. Ruban, H.L. Skriver and J. Kollár, Surface Science 411, 186 (1998); L. Vitos, H.L. Skriver and J. Kollár, Surface Science 425, 212 (1999).

    Google Scholar 

  20. E. Rolley, E. Chevalier, C. Guthmann, and S. Balibar, J. Low Temp. Phys. 99, 851 (1995).

    Google Scholar 

  21. V. Tsepelin, J.P. Saramäki, A.V. Babkin, P.J. Hakonen, J.J. Hyvönen, R.M. Luusalo, A.Ya. Parshin and G.K. Tvalasvili, Phys. Rev. Lett. 83, 4804 (1999).

    Google Scholar 

  22. E. Rolley, S. Balibar, F. Gallet, F. Graner, and C. Guthmann, Europhys. Lett. 8, 523 (1989).

    Google Scholar 

  23. F. Graner, S. Balibar, and E. Rolley, J. Low Temp. Phys. 75, 69 (1989).

    Google Scholar 

  24. R. Wagner, S.C. Steel, O.A. Andreeva, R. Jochemsen, and G. Frossati, Phys. Rev. Lett. 76, 263 (1996); R. Wagner, Ph.D. Thesis, Leiden University (1995).

    Google Scholar 

  25. A.F. Andreev and A.Ya. Parshin, JETP 48, 763 (1978).

    Google Scholar 

  26. E. Rolley, S. Balibar, and F. Gallet, Europhys. Lett. 2, 247 (1986).

    Google Scholar 

  27. Y.P. Feng, Ph.D. thesis, Stanford University, 1991.

  28. R. Nomura, H.H. Hensley, T. Matsushita, and T. Mizusaki, J. Low Temp. Phys. 94, 377 (1994).

    Google Scholar 

  29. H. Akimoto, R.v. Rooijen, A. Marchenkov, R. Jochemsen, and G. Frossati, Physica B 255, 19 (1998).

    Google Scholar 

  30. Y. Kawaguchi, T. Ueno, Y. Kinoshita, Y. Sasaki and T. Mizusaki, J. Low Temp. Phys. 126, 27 (2002); also Y. Kawaguchi and T. Mizusaki, LT23 Proceedings, to be published.

    Google Scholar 

  31. T. Ueno, Y. Kawaguchi, Y. Kinoshita, Y. Sasaki and T. Mizusaki, J. Low Temp. Phys. 127, 1 (2002).

    Google Scholar 

  32. V. Tsepelin, H. Alles, A. Babkin, J.P.H. Härme, R. Jochemsen, A.Ya. Parshin, and G. Tvalashvili, Phys. Rev. Lett. 86, 1042 (2001).

    Google Scholar 

  33. H. Alles, V. Tsepelin, A. Babkin, R. Jochemsen, A.Ya. Parshin, and I.A. Todoshchenko, J. Low Temp. Phys. 124, 189 (2001).

    Google Scholar 

  34. V. Tsepelin, H. Alles, A. Babkin, R. Jochemsen, A. Ya. Parshin, and I.A. Todoshchenko, Phys. Rev. Lett. 88, 045302 (2002).

    Google Scholar 

  35. C. Herring, Structure and properties of solid surfaces, ed. R. Gomer, C.S. Smith (Univ. of Chicago Press, 1953).

  36. L.D. Landau, Collected Papers (Pergamon Press, Oxford, 1971).

    Google Scholar 

  37. D.S. Fisher and J.D. Weeks, Phys. Rev. Lett. 50, 1077 (1983).

    Google Scholar 

  38. S.V. Iordanskii and S.E. Korshunov, JETP Lett. 38, 655 (1983).

    Google Scholar 

  39. E. Fradkin, Phys. Rev. B 28, 5338 (1983).

    Google Scholar 

  40. F.C. Philips, An introduction to Crystallography (Longmans, New York, 1960).

    Google Scholar 

  41. V.I. Marchenko and A.Ya. Parshin, JETP 52, 129 (1980).

    Google Scholar 

  42. Y. Akutsu, N. Akutsu and T. Yamamoto, Phys. Rev. Lett. 61, 424 (1988).

    Google Scholar 

  43. S. Balibar, C. Guthmann and E. Rolley, J. Phys. I France 3, 1475 (1993).

    Google Scholar 

  44. We want to note that in our previous work, H. Alles, A. Babkin, J.P.H. Härme, R. Jochemsen, A.Ya. Parshin, and G. Tvalashvili, Phys. Rev. Lett. 86, 1042 (2001)Ref. 32, there is a misprint that l/d 0001 = 2.5.

  45. See also F. Pederiva et al., Phys. Rev. Lett. 72, 2589 (1994), who find l/d ≈ 4 in 4He with a variational Monte Carlo simulation of the liquid/solid interface. Unfortunately the calculation is only done for the (100) surface of the fcc structure.

    Google Scholar 

  46. A.A. Chernov, Modern Crystallography III: Crystal Growth (Springer-Verlag, 1984).

  47. B. Castaing and P. Nozières, J. Physique 41, 701 (1980); S. Balibar, D.O. Edwards and W.F. Saam, J. Low Temp. Phys. 82,119 (1991).

    Google Scholar 

  48. J. Amrit and J. Bossy, J. Low Temp. Phys. 92, 415 (1993).

    Google Scholar 

  49. P.E. Wolf, F. Gallet, S. Balibar and E. Rolley, J. Physique 46, 1987 (1985).

    Google Scholar 

  50. F. Gallet, S. Balibar and E. Rolley, J. Physique 48, 369 (1987).

    Google Scholar 

  51. M. Uwaha, J. Low Temp. Phys. 52, 15 (1983).

    Google Scholar 

  52. A.Ya. Parshin, J. Low Temp. Phys. 110, 133 (1998).

    Google Scholar 

  53. S.N. Fisher, G.R. Pickett, and R.J. Watts-Tobin, J. Low Temp. Phys. 83, 225 (1991).

    Google Scholar 

  54. D.D. Osheroff and C. Yu, Phys. Lett. 77, 458 (1980).

    Google Scholar 

  55. Y.P. Feng, P. Shiffer, D.D. Osheroff, and M.C. Cross, J. Low Temp. Phys. 90, 475 (1993).

    Google Scholar 

  56. R. Wagner, P.J. Ras, P. Remeijer, S.C. Steel, and G. Frossati, J. Low Temp. Phys. 95, 715 (1994).

    Google Scholar 

  57. A.J. Manninen, J.P. Pekola, G.M. Kira, J.P. Ruutu, A. V. Babkin, H. Alles, and O. V. Lounasmaa, Phys. Rev. Lett. 69, 2392 (1992); H. Alles, J. P. Ruutu, A. V. Babkin, P. J. Hakonen, A. J. Manninen, and J. P. Pekola, Rev. Sci. Instrum. 65, 1784 (1994).

    Google Scholar 

  58. Manufactured by Oxford Instruments, Oxfordshire, OX8 1TL, UK.

  59. Stycast 1266 (transparent), manufactured by Emerson and Cummings, Canton, Massachusets, 02021, USA.

  60. G.C. Straty and E.D. Adams, Rev. Sci. Instr. 40, 1393 (1969).

    Google Scholar 

  61. Andeen-Hagerling 2500A, Andeen-Hagerling, Inc., 31200 Bainbridge Rd., Cleveland, Ohio 44139-2231, USA.

  62. W. Ni, J. S. Xia, E. D. Adams, P. S. Haskins, and J. E. McKisson, J. Low Temp. Phys. 101, 305 (1995).

    Google Scholar 

  63. J.P.H. Härme, H. Alles, A. Babkin, R. Jochemsen, A.Ya. Parshin, V. Tsepelin, and G. Tvalashvili, Physica B 284-288, 349 (2000).

    Google Scholar 

  64. Star 1 camera by Photometrics, Tucson, Arizona, USA.

  65. V. Tsepelin, H. Alles, A. Babkin, J.P.H. Härme, R. Jochemsen, A.Ya. Parshin, and G. Tvalashvili, J. Low Temp. Phys. 121, 695 (2000).

    Google Scholar 

  66. G. Bönsch and H. Böhme, Optik 82, 161 (1989).

    Google Scholar 

  67. D.W. Robinson and G.T. Reid, Interferogram Analysis (IOP Publishing Ltd., 1993).

  68. V. Tsepelin, H. Alles, A. Babkin, J.P.H. Härme, R. Jochemsen, A.Ya. Parshin, and G. Tvalashvili, Physica B 284-288, 351 (2000).

    Google Scholar 

  69. J. Illingworth and J. Kittler, Computer Vision, Graphics, and Image Processing 44, 87 (1988).

    Google Scholar 

  70. D. Greywall, Phys. Rev. B 11, 1070 (1975).

    Google Scholar 

  71. R. van Rooijen, H. Akimoto, R. Jochemsen and G. Frossati, Physica B 284-288, 353 (2000).

    Google Scholar 

  72. The prefactor 4/π was taken into account.44

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tsepelin, V., Alles, H., Babkin, A. et al. Morphology and Growth Kinetics of 3He Crystals Below 1 mK. Journal of Low Temperature Physics 129, 489–530 (2002). https://doi.org/10.1023/A:1021416630479

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021416630479

Keywords

Navigation