Advertisement

Journal of Low Temperature Physics

, Volume 173, Issue 3–4, pp 207–226 | Cite as

Low-Dimensional Confining Structures on the Surface of Helium Films Suspended on Designed Cavities

  • Davi S. Dantas
  • Andrey ChavesEmail author
  • G. A. Farias
  • A. C. A. Ramos
  • F. M. Peeters
Article

Abstract

We investigate the formation of quantum confined structures on the surface of a liquid helium film suspended on a nanostructured substrate. We show theoretically that, by nanostructuring the substrate, it is possible to change the geometry of the liquid helium surface, opening the possibility of designing and controlling the formation of valleys with different shapes. By applying an external electric field perpendicular to the substrate plane, surface electrons can be trapped into these valleys, as in a quantum dot. We investigate how the external parameters, such as the electric field strength and the height of the liquid helium bath, can be tuned to control the energy spectrum of the trapped surface electrons.

Keywords

Surface electrons Suspended helium film Quantum dots 

Notes

Acknowledgements

This work has received financial support from the Brazilian National Research Council (CNPq), Fundação Cearense de Apoio ao Desenvolvimento Científico e Tecnológico (Funcap), CAPES and Pronex/CNPq/Funcap. This work was partially supported by the Flemish Science Foundation (FWO-Vl) and the bilateral project between CNPq and FWO-Vl.

References

  1. 1.
    W.T. Sommer, Phys. Rev. Lett. 12, 271 (1964) ADSCrossRefGoogle Scholar
  2. 2.
    M. Cole, M.H. Cohen, Phys. Rev. Lett. 23, 1238 (1969) ADSCrossRefGoogle Scholar
  3. 3.
    V.B. Shikin, Sov. Phys. JETP 31, 936 (1970) ADSGoogle Scholar
  4. 4.
    Yu.Z. Kovdrya, Low Temp. Phys. 29, 77 (2003) ADSCrossRefGoogle Scholar
  5. 5.
    P.M. Platzman, M.I. Dykman, Science 284, 1967 (1999) CrossRefGoogle Scholar
  6. 6.
    G. Sabouret, F.R. Bradbury, S. Shankar, J.A. Bert, S.A. Lyon, Appl. Phys. Lett. 92, 082104 (2008) ADSCrossRefGoogle Scholar
  7. 7.
    A.J. Dahm, J.M. Goodkind, I. Karakurt, S. Pilla, J. Low Temp. Phys. 126, 709 (2002) ADSCrossRefGoogle Scholar
  8. 8.
    D.I. Schuster, A. Fragner, M.I. Dykman, S.A. Lyon, R.J. Schoelkopf, Phys. Rev. Lett. 105, 040503 (2010) ADSCrossRefGoogle Scholar
  9. 9.
    G. Papageorgiou, P. Glasson, K. Harrabi, V. Antonov, E. Collin, P. Fozooni, P.G. Frayne, M.J. Lea, D.G. Rees, Y. Mukharsky, Appl. Phys. Lett. 86, 153106 (2005) ADSCrossRefGoogle Scholar
  10. 10.
    A.V. Chaplik, JETP Lett. 31, 252 (1980) ADSGoogle Scholar
  11. 11.
    A.M. Dyugaev, A.S. Rozhavskii, I.D. Vagner, P. Wyder, JETP Lett. 67, 434 (1998) ADSCrossRefGoogle Scholar
  12. 12.
    S. Mostame, R. Schützhold, Phys. Rev. Lett. 101, 220501 (2008) ADSCrossRefGoogle Scholar
  13. 13.
    Yu.P. Monarkha, S.S. Sokolov, A.V. Smorodin, N. Studart, Low Temp. Phys. 36, 565 (2010) ADSCrossRefGoogle Scholar
  14. 14.
    D. Rees, K. Kono, J. Low Temp. Phys. 158, 301 (2010) ADSCrossRefGoogle Scholar
  15. 15.
    D.G. Rees, I. Kuroda, C.A. Marrache-Kikuchi, M. Höfer, P. Leiderer, K. Kono, Phys. Rev. Lett. 106, 026803 (2011) ADSCrossRefGoogle Scholar
  16. 16.
    D.G. Rees, I. Kuroda, C.A. Marrache-Kikuchi, M. Höfer, P. Leiderer, K. Kono, J. Low Temp. Phys. 166, 107 (2012) ADSCrossRefGoogle Scholar
  17. 17.
    Yu.Z. Kovdrya, Yu.P. Monarkha, Fiz. Nizk. Temp. 12, 1011 (1986) [Sov. J. Low Temp. Phys. 12, 571 (1986)] Google Scholar
  18. 18.
    A.M.C. Valkering, J. Klier, E. Teske, R.W. van der Heijden, P. Leiderer, J. Low Temp. Phys. 113, 1115 (1998) ADSCrossRefGoogle Scholar
  19. 19.
    A.C.A. Ramos, A. Chaves, G.A. Farias, F.M. Peeters, Phys. Rev. B 77, 045415 (2008) ADSCrossRefGoogle Scholar
  20. 20.
    P.K.H. Sommerfeld, R.W. van der Heijden, J. Phys. Condens. Matter 7, 9731 (1995) ADSCrossRefGoogle Scholar
  21. 21.
    A.C.A. Ramos, O.G. Balev, N. Studart, J. Low Temp. Phys. 138, 403 (2005) ADSCrossRefGoogle Scholar
  22. 22.
    W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes in Fortran 77, 2nd edn. (1992) Google Scholar
  23. 23.
    F.M. Peeters, in Proc. of NATO Workshops on Science and Engineering of One and Zero Dimensional Semiconductors, ed. by S.P. Beaumont, C.M. Sotomayor Torres (Plenum, New York, 1990), p. 107 CrossRefGoogle Scholar
  24. 24.
    S.S. Sokolov, G.-Q. Hai, N. Studart, Phys. Rev. B 51, 5977 (1995) ADSCrossRefGoogle Scholar
  25. 25.
    S.S. Sokolov, N. Studart, Phys. Rev. B 51, 2640 (1995) ADSCrossRefGoogle Scholar
  26. 26.
    R.C.T. da Costa, Phys. Rev. A 23, 1982 (1981) MathSciNetADSCrossRefGoogle Scholar
  27. 27.
    V.B. Shikin, Yu.P. Monarkha, J. Low Temp. Phys. 16, 193 (1974) ADSCrossRefGoogle Scholar
  28. 28.
    S.S. Sokolov, G.-Q. Hai, N. Studart, Phys. Rev. B 52, 15509 (1995) ADSCrossRefGoogle Scholar
  29. 29.
    T.I. Zueva, S.S. Sokolov, Low Temp. Phys. 38, 185 (2012) ADSCrossRefGoogle Scholar
  30. 30.
    G.A. Farias, R.N. Costa Filho, F.M. Peeters, N. Studart, Phys. Rev. B 64, 104301 (2001) ADSCrossRefGoogle Scholar
  31. 31.
    M.H. Degani, G.A. Farias, F.M. Peeters, Phys. Rev. B 72, 125408 (2005) ADSCrossRefGoogle Scholar
  32. 32.
    U. Merkt, J. Huser, M. Wagner, Phys. Rev. B 43, 7320 (1991) ADSCrossRefGoogle Scholar
  33. 33.
    M. Wagner, U. Merkt, A.V. Chaplik, Phys. Rev. B 45, 1951 (1992) ADSCrossRefGoogle Scholar
  34. 34.
    R.B. Laughlin, Phys. Rev. B 27, 3383 (1983) ADSCrossRefGoogle Scholar
  35. 35.
    F.M. Peeters, V.A. Schweigert, Phys. Rev. B 53, 1468 (1996) ADSCrossRefGoogle Scholar
  36. 36.
    L.A. Tracy, E.P. Nordberg, R.W. Young, C. Borrás Pinilla, H.L. Stalford, G.A. Ten Eyck, K. Eng, K.D. Childs, J.R. Wendt, R.K. Grubbs, J. Stevens, M.P. Lilly, M.A. Eriksson, M.S. Carroll, Appl. Phys. Lett. 97, 192110 (2010) ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Davi S. Dantas
    • 1
  • Andrey Chaves
    • 1
    Email author
  • G. A. Farias
    • 1
  • A. C. A. Ramos
    • 2
  • F. M. Peeters
    • 1
    • 3
  1. 1.Departamento de FísicaUniversidade Federal do CearáFortalezaBrazil
  2. 2.Universidade Federal do CaririJuazeiro do NorteBrazil
  3. 3.Department of PhysicsUniversity of AntwerpAntwerpBelgium

Personalised recommendations