Skip to main content
SpringerLink
Log in

Multielectron Bubbles in Liquid Helium

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

Abstract

Multielectron bubbles (MEBs) are cavities in liquid helium that contain electrons and possibly vapour. They provide a versatile platform for exploring properties of interacting electrons in two dimensions in a regime of densities that has not been previously available. Since the electrons are pushed against the deformable curved inner surface of the bubble, MEBs also provide an environment to study the roles of curvatures. In this review, we describe the current understanding of MEBs, with a focus on their stability issues, and highlight recent experimental studies of this interesting system.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. R.J. Donelly, C.F. Barenghi, J. Phy. Chem. Ref. Data 27, 1217 (1998)

    ADS  Google Scholar 

  2. W.T. Sommer, Phys. Rev. Lett. 12, 271 (1964)

    ADS  Google Scholar 

  3. M.W. Cohen, M.H. Cole, Phys. Rev. Lett. 23, 1238 (1969)

    ADS  Google Scholar 

  4. V.B. Shikin, JETP 33, 387 (1971)

    ADS  Google Scholar 

  5. H.J. Maris, J. Phys. Soc. Jpn. 77, 111008 (2008)

    ADS  Google Scholar 

  6. A.M. Troyanovskii, A.P. Volodin, M.S. Khaikin, JETP Lett. 29, 382 (1979)

    ADS  Google Scholar 

  7. A.M. Troyanovskil, M.S. Khalkin, Sov. Phys. JETP 54, 214 (1981)

    Google Scholar 

  8. K. Kono, U. Albrecht, P. Leiderer, J. Low Temp. Phys. 82, 279 (1991)

    ADS  Google Scholar 

  9. K. Kajita, Surf. Sci. 142, 86 (1984)

    ADS  Google Scholar 

  10. M. Wanner, P. Leiderer, Phys. Rev. Lett. 42, 315 (1979)

    ADS  Google Scholar 

  11. D. Savignac, P. Leiderer, Phys. Rev. Lett. 49, 1869 (1982)

    ADS  Google Scholar 

  12. C.J. Mellor, W.F. Vinen, Surf. Sci. 229, 368 (1990)

    ADS  Google Scholar 

  13. L. Bruschi, G. Mazzi, M. Santini, Phys. Rev. Lett. 28, 1504 (1972)

    ADS  Google Scholar 

  14. M.W. Cole, Rev. Mod. Phys. 46, 451 (1974)

    ADS  Google Scholar 

  15. C.C. Grimes, Surf. Sci. 73, 379 (1978)

    ADS  Google Scholar 

  16. R.S. Crandall, Surf. Sci. 58, 266 (1976)

    ADS  Google Scholar 

  17. P. Leiderer, J. Low Temp. Phys. 87, 247 (1992)

    ADS  Google Scholar 

  18. K. Kono, K. Kajita, S. Kobayashi, W. Sasaki, J. Low Temp. Phys. 46, 195 (1982)

    ADS  Google Scholar 

  19. C.C. Grimes, T.R. Brown, M.L. Burns, C.L. Zipfel, Phys. Rev. B 13, 140 (1976)

    ADS  Google Scholar 

  20. Y. Monarkha, K. Kono, Two-Dimensional Coulomb Liquids and Solids (Springer, Berlin, 2004), pp. 1–63

    Google Scholar 

  21. W.T. Sommer, D.J. Tanner, Phys. Rev. Lett. 27, 1345 (1971)

    ADS  Google Scholar 

  22. A.S. Rybalko, Y.Z. Kovdrya, B.N. Esel’son, JETP Lett. 22, 280 (1975)

    ADS  Google Scholar 

  23. C.C. Grimes, G. Adams, Phys. Rev. Lett. 36, 145 (1976)

    ADS  Google Scholar 

  24. R. Mehrotra, C.J. Guo, Y.Z. Ruan, D.B. Mast, A.J. Dahm, Phys. Rev. B 29, 5239 (1984)

    ADS  Google Scholar 

  25. C.C. Grimes, G. Adams, Phys. Rev. Lett. 42, 795 (1979)

    ADS  Google Scholar 

  26. R. Mehrotra, B.M. Guenin, A.J. Dahm, Phys. Rev. Lett. 48, 641 (1982)

    ADS  Google Scholar 

  27. G. Deville, A. Valdes, E.Y. Andrei, F.I.B. Williams, Phys. Rev. Lett. 53, 588 (1984)

    ADS  Google Scholar 

  28. R.H. Morf, Phys. Rev. Lett. 43, 931 (1979)

    ADS  Google Scholar 

  29. R.C. Gann, S. Chakravarty, G.V. Chester, Phys. Rev. B 20, 326 (1979)

    ADS  Google Scholar 

  30. L.P. Gor’kov, D.M. Chernikova, ZhETF Pis. Red. 18, 119 (1973)

    ADS  Google Scholar 

  31. A. Volodin, M. Khaikin, V. Edel’man, JETP Lett. 26, 543 (1977)

    ADS  Google Scholar 

  32. F.M. Peeters, P.M. Platzman, Phys. Rev. Lett. 50, 2021 (1983)

    ADS  Google Scholar 

  33. X.L. Hu, A.J. Dahm, Phys. Rev. B 42, 2010 (1990)

    ADS  Google Scholar 

  34. J. Angrik, A. Faustein, J. Klier, P. Leiderer, J. Low Temp. Phys. 137, 335 (2004)

    ADS  Google Scholar 

  35. P. Leiderer, E. Scheer, K. Kono, J.J. Lin, D.G. Rees, J. Low Temp. Phys. 183, 258 (2016)

    ADS  Google Scholar 

  36. B. Lehndorff, K. Dransfeld, J. Phys. 50, 2579 (1989)

    Google Scholar 

  37. C. Vicente, W. Yao, H.J. Maris, G.M. Seidel, Phys. Rev. B Condens. Matter Mater. Phys. 66, 1 (2002)

    Google Scholar 

  38. W. Guo, D. Jin, H.J. Maris, Phys. Rev. B Condens. Matter Mater. Phys. 78, 140504 (2008)

    Google Scholar 

  39. J. Tempere, S.N. Klimin, I.F. Silvera, J.T. Devreese, Eur. Phys. J. B 32, 329 (2003)

    ADS  Google Scholar 

  40. H.J. Maris, W. Guo, J. Low Temp. Phys. 137, 491 (2004)

    ADS  Google Scholar 

  41. V.B. Shikin, JETP Lett. 27, 39 (1978)

    ADS  Google Scholar 

  42. M.M. Salomaa, G.A. Williams, Phys. Scr. 1983, 204 (1983)

    Google Scholar 

  43. K.W. Shung, F. Lin, Phys. Rev. B 45, 7491 (1992)

    ADS  Google Scholar 

  44. M.M. Salomaa, G.A. Williams, Phys. Scr. T4, 204 (1983)

    ADS  Google Scholar 

  45. J. Tempere, I.F. Silvera, J.T. Devreese, Phys. Rev. B 67, 035402 (2003)

    ADS  Google Scholar 

  46. W. Guo, D. Jin, H.J. Maris, Phys. Rev. B 78, 014511 (2008)

    ADS  Google Scholar 

  47. S.T. Hannahs, G.A. Williams, M.M. Salomaa, in IEEE Ultrasonics Symposium Proceedings. An International Symposium Seattle, WA, USA vol. 1, p. 635 (1995)

  48. J. Classen, C.K. Su, M. Mohazzab, H.J. Maris, Phys. Rev. B 57, 3000 (1998)

    ADS  Google Scholar 

  49. J. Tempere, I.F. Silvera, J.T. Devreese, Phys. Rev. Lett. 87, 275301 (2001)

    ADS  Google Scholar 

  50. G.A. Williams, M.M. Salomaa, Phys. Rev. Lett. 47, 1730 (1981)

    ADS  Google Scholar 

  51. D.L. Dexter, W.B. Fowler, Phys. Rev. 183, 307 (1969)

    ADS  Google Scholar 

  52. H.J. Maris, J. Low Temp. Phys. 132, 77 (2003)

    ADS  Google Scholar 

  53. L. Lehtovaara, J. Eloranta, J. Low Temp. Phys. 148, 43 (2007)

    ADS  Google Scholar 

  54. W. Wei, Z. Xie, H.J. Maris, Phys. Rev. B 89, 064504 (2014)

    ADS  Google Scholar 

  55. R. Williams, R.S. Crandall, Phys. Rev. A 5, 2183 (1972)

    ADS  Google Scholar 

  56. U. Albrecht, P. Leiderer, Eur. Lett. 3, 705 (1987)

    ADS  Google Scholar 

  57. J. Fang, J. Tempere, I.F. Silvera, J. Low Temp. Phys. 187, 54 (2017)

    ADS  Google Scholar 

  58. J. Fang, A.E. Dementyev, J. Tempere, I.F. Silvera, Rev. Sci. Instrum. 82, 033904 (2011). https://doi.org/10.1063/1.3553030

    ADS  Google Scholar 

  59. I.F. Silvera, J. Fang, J. Tempere, J. Phys. Conf. Ser. 568, 012016 (2014). https://doi.org/10.1088/1742-6596/568/1/012016

    Article  Google Scholar 

  60. E.M. Joseph, V. Vadakkumbatt, A. Pal, A. Ghosh, J. Low Temp. Phys. 175, 78 (2014)

    ADS  Google Scholar 

  61. V. Vadakkumbatt and A. Ghosh, in J. Phys. Conf. Ser. 969, 012018 (2018)

  62. V. Vadakkumbatt, A. Ghosh, J. Low Temp. Phys. 187, 369 (2017)

    ADS  Google Scholar 

  63. V. Vadakkumbatt, E. Joseph, A. Pal, A. Ghosh, Nat. Commun. 5, 1–16 (2014)

    Google Scholar 

  64. V. Vadakkumbatt, E.M. Joseph, A. Pal, A. Ghosh, J. Low Temp. Phys. 171, 239–244 (2013)

    ADS  Google Scholar 

  65. E.M. Joseph, V. Vadakkumbatt, A. Pal, A. Ghosh, J. Low Temp. Phys. 187, 580 (2017)

    ADS  Google Scholar 

  66. R. Mei, J.F. Klausner, C.J. Lawrence, Phys. Fluids 6, 418 (1994)

    ADS  Google Scholar 

  67. J. Magnaudet, I. Eames, Annu. Rev. Fluid Mech. 32, 659 (2000)

    ADS  Google Scholar 

  68. H.J. Maris, Am. J. Phys. 87, 643 (2019)

    ADS  Google Scholar 

  69. A. Basset, A Treatise on Hydrodynamics: With Numerous Examples (Deighton, Bell and Company, London, 1888)

    MATH  Google Scholar 

  70. J.V. Boussinesq, C. R. Acad. Des. Sci. 100, 935 (1885)

    Google Scholar 

  71. I. Kim, S. Elghobashi, W.A. Sirignano, J. Fluid Mech. 367, 221 (1998)

    ADS  MathSciNet  Google Scholar 

  72. M.R. Maxey, J.J. Riley, Phys. Fluids 26, 883 (1983)

    ADS  Google Scholar 

  73. U. Albrecht, P. Leiderer, J. Low Temp. Phys. 86, 131 (1992)

    ADS  Google Scholar 

  74. D.R. Poole, C.F. Barenghi, Y.A. Sergeev, W.F. Vinen, Phys. Rev. B Condens. Matter Mater. Phys. 71, 064514 (2005)

    ADS  Google Scholar 

  75. A. Pal, E. Joseph, V. Vadakkumbatt, N. Yadav, V. Srinivasan, H.J. Maris, A. Ghosh, J. Low Temp. Phys. 188, 101 (2017)

    ADS  Google Scholar 

  76. P.K. Rath, Y. Huang, A. Ghosh, J. Low Temp. Phys. (2020). https://doi.org/10.1007/s10909-020-02345-1

    Article  Google Scholar 

  77. N. Yadav, V. Vadakkumbatt, A. Ghosh, J. Low Temp. Phys. (2020). https://doi.org/10.1007/s10909-020-02353-1

    Article  Google Scholar 

  78. J. Classen, C.-K. Su, H.J. Maris, Phys. Rev. Lett. 77, 2006 (1996)

    ADS  Google Scholar 

  79. N. Yadav, V. Vadakkumbatt, H.J. Maris, A. Ghosh, J. Low Temp. Phys. 187, 618 (2017)

    ADS  Google Scholar 

  80. W. Guo, D. Jin, G.M. Seidel, H.J. Maris, Phys. Rev. B 79, 054515 (2009)

    ADS  Google Scholar 

  81. D. Konstantinov, H.J. Maris, Phys. Rev. Lett. 90, 3 (2003)

    Google Scholar 

  82. A. Ghosh, H.J. Maris, Phys. Rev. B Condens. Matter Mater. Phys. 72, 054512 (2005)

    ADS  Google Scholar 

  83. A. Ghosh, H.J. Maris, Phys. Rev. Lett. 95, 1 (2005)

    Google Scholar 

  84. H.J. Maris, A. Ghosh, J. Low Temp. Phys. 134, 251 (2004)

    ADS  Google Scholar 

  85. D. Konstantinov, W. Homsi, J. Luzuriaga, C.-K. Su, M.A. Weilert, H.J. Maris, J. Low Temp. Phys. 113, 485 (1998)

    ADS  Google Scholar 

  86. Y. Yang, S. Sirisky, W. Wei, G.M. Seidel, H.J. Maris, J. Low Temp. Phys. 192, 48 (2018)

    ADS  Google Scholar 

  87. R. Donnelly, Quantized Vortices in Helium II (Cambridge University Press, Cambridge, 1991)

    Google Scholar 

  88. G.W. Rayfield, F. Reif, Phys. Rev. 136, A1194 (1964)

    ADS  Google Scholar 

  89. B. Tanatar, D.M. Ceperley, Phys. Rev. B 39, 5005 (1989)

    ADS  Google Scholar 

  90. S.T. Chui, K. Esfarjani, EPL 14, 361 (1991)

    ADS  Google Scholar 

  91. A. Ghosal, A.D. Güçlü, C.J. Umrigar, D. Ullmo, H.U. Baranger, Nat. Phys. 2, 336 (2006)

    Google Scholar 

  92. J. Tempere, V.N. Gladilin, I.F. Silvera, J.T. Devreese, Phys. Rev. B 72, 094506 (2005)

    ADS  Google Scholar 

  93. J. Tempere, I.F. Silvera, J.T. Devreese, Surf. Sci. Rep. 62, 159 (2007)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Indian Institute of Science, Bangalore, 560012, India

    Neha Yadav, Pranaya Kishore Rath & Ambarish Ghosh

  2. Centre for Nano Science and Engineering, Indian Institute of Science, Bangalore, India

    Zhuolin Xie, Yunhu Huang & Ambarish Ghosh

Authors
  1. Neha Yadav
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Pranaya Kishore Rath
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zhuolin Xie
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yunhu Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Ambarish Ghosh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yunhu Huang.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yadav, N., Rath, P.K., Xie, Z. et al. Multielectron Bubbles in Liquid Helium. J Low Temp Phys 201, 658–675 (2020). https://doi.org/10.1007/s10909-020-02436-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-020-02436-z

Keywords

Search

Navigation