Geometry and charge carrier induced stability in Casimir actuated nanodevices

Regular Article

Abstract

In this work we demonstrate, that in Casimir actuated nanodevices, geometry and charge carriers concentration change the stability and the pull-in conditions that cause stiction. The stability is analyzed by calculating the bifurcation diagram of the capacitive switch as a function of plate thickness for Au and Si showing that previous calculations based on Lifshitz formula for half-spaces underestimated the stability conditions. Taking into account the size effect, we recalculate the bifurcation diagram for different metals and for Si with different carrier concentrations showing the change in the stability conditions.

Keywords

Mesoscopic and Nanoscale Systems 

References

  1. 1.
    H.B.G. Casimir, Proc. Kon. Ned. Akad. Wet. 51, 793 (1948) MATHGoogle Scholar
  2. 2.
    E.M. Lifshitz, Sov. Phys. J. Exp. Theor. Phys. 2, 73 (1956) Google Scholar
  3. 3.
    I.D. Dzyaloshinskii, E.M. Lifshitz, L.P. Pitaevskii, Usp. Fiz. Nauk 73, 381 (1961) [Soviet Phys. Usp. 4, 153] Google Scholar
  4. 4.
    S.K. Lamoreaux, Phys. Rev. Lett. 78, 5 (1997) CrossRefADSGoogle Scholar
  5. 5.
    S.K. Lamoreaux, Phys. Rev. Lett. 81, 5475 (1998) CrossRefADSGoogle Scholar
  6. 6.
    U. Mohideen, A. Roy, Phys. Rev. Lett. 81, 4549 (1998) CrossRefADSGoogle Scholar
  7. 7.
    R.S. Decca, D. López, E. Fischbach, D.E. Krause, Phys. Rev. Lett. 91, 050402 (2003) CrossRefADSGoogle Scholar
  8. 8.
    G. Bressi, G. Carugno, R. Onofrio, G. Ruoso, Phys. Rev. Lett. 88, 041804 (2002) CrossRefADSGoogle Scholar
  9. 9.
    D. Iannuzzi, M. Lisanti, F. Capasso, Proc. Natl. Acad. Sci. USA 101, 4019 (2004) CrossRefADSGoogle Scholar
  10. 10.
    S.K. Lamoreaux, Phys. Rev. A 59, R3149 (1999) CrossRefADSGoogle Scholar
  11. 11.
    F. Chen, U. Mohideen, G.L. Klimchitskaya, V.M. Mostepanenko, Phys. Rev. A 74, 022103 (2006) CrossRefADSGoogle Scholar
  12. 12.
    F. Chen, G.L. Klimchitskaya, V.M. Mostepanenko, U. Mohideen, Phys. Rev. Lett. 97, 170402 (2006) CrossRefADSGoogle Scholar
  13. 13.
    H.B. Chan, Y. Bao, J. Zou, R.A. Cirelli, F. Klemens, W.M. Mansfield, C.S. Pai, Phys. Rev. Lett. 101, 030401 (2008) CrossRefADSGoogle Scholar
  14. 14.
    F.M. Serry, D. Walliser, J.G. Maclay, J. Microelectromech. Syst. 4, 193 (1995) CrossRefGoogle Scholar
  15. 15.
    E. Buks, M.L. Roukes, Europhys. Lett. 54, 220 (2001) CrossRefADSGoogle Scholar
  16. 16.
    W.H. Lin, Y.P. Zhao, Microsys. Technol. 11, 80 (2005) Google Scholar
  17. 17.
    W.H. Lin, Y.P. Zhao, Sensors 7, 3012 (2007) CrossRefGoogle Scholar
  18. 18.
    W.H. Lui, Y.P. Zhao, J. Phys. D 40, 1649 (2007) CrossRefADSGoogle Scholar
  19. 19.
    R.C. Batra, M. Porfiri, D. Spinello, Eur. Phys. Lett. 77, 20010 (2007) CrossRefADSGoogle Scholar
  20. 20.
    R.C. Batra, M. Porfiri, D. Spinello, Sensors 8, 1048 (2008) CrossRefGoogle Scholar
  21. 21.
    R.C. Batra, M. Porfiri, D. Spinello, Int. J. Solids Struct. 45, 3558 (2008) CrossRefMATHGoogle Scholar
  22. 22.
    R.C. Batra, M. Porfiri, D. Spinello, J. Sound Vib. 315, 939 (2008) CrossRefADSGoogle Scholar
  23. 23.
    F. Pinto, J. Phys. A 41, 164033 (2008) CrossRefMathSciNetADSGoogle Scholar
  24. 24.
    F.W. del Rio, M.P. de Boer, J.A. Knapp, E.D. Reedy Jr., P.J. Clews, M.L. Dunn, Nat. Mater. 4, 629 (2005) CrossRefADSGoogle Scholar
  25. 25.
    J. Zou, Z. Marcet, A.W. Rodriguez, M.T.H. Reid, A.P. McCauley, I.I. Kravchenko, T. Lu, Y. Bao, S.G. Johnson, H.B. Chan, Nat. Commun. 4, 1845 (2013) CrossRefADSGoogle Scholar
  26. 26.
    G. Palasantzas, V.B. Svetovoy, P.J. van Zwol, Int. J. Mod. Phys. B 24, 6013 (2010) CrossRefMATHADSGoogle Scholar
  27. 27.
    W. Broer, G. Palasantzas, J. Knoester, V.B. Svetovoy, Phys. Rev. B 85, 155410 (2012) CrossRefADSGoogle Scholar
  28. 28.
    W. Broer, G. Palasantzas, J. Knoester, V.B. Svetovoy, Phys. Rev. B 87, 125413 (2013) CrossRefADSGoogle Scholar
  29. 29.
    A.O. Sushkov, W.J. Kim, D.A.R. Dalvit, S.K. Lamoreaux, Nat. Phys. 7, 230 (2011) CrossRefGoogle Scholar
  30. 30.
    R.O. Behunin, Y. Zeng, D.A.R. Dalvit, S. Reyaud, Phys. Rev. A 86, 052509 (2012) CrossRefADSGoogle Scholar
  31. 31.
    R. Esquivel-Sirvent, J. Appl. Phys. 102, 034307 (2007) CrossRefADSGoogle Scholar
  32. 32.
    R. Esquivel-Sirvent, G.H. Cocoletzi, M. Palomino-Ovando, J. Appl. Phys. 108, 114101 (2010) CrossRefADSGoogle Scholar
  33. 33.
    J.C. Martinez, M.B.A. Jalil, J. Appl. Phys. 113, 204302 (2013) CrossRefADSGoogle Scholar
  34. 34.
    M. Bostrom, S.A. Ellingsen, I. Brevik, M.F. Dou, C. Persson, Bo.E. Sernelius, Eur. Phys. J. B 85, 377 (2012) CrossRefADSGoogle Scholar
  35. 35.
    I. Pirozhenko, A. Lambrecht, Phys. Rev. A 77, 013811 (2008) CrossRefADSGoogle Scholar
  36. 36.
    R. Esquivel-Sirvent, Phys. Rev. A 77, 042107 (2008) CrossRefADSGoogle Scholar
  37. 37.
    M. Bostrom, C. Person, Bo.E. Sernelius, Eur. Phys. J. B 86, 43 (2013) CrossRefADSGoogle Scholar
  38. 38.
    R. Esquivel-Sirvent, V.B. Svetovoy, Phys. Rev. B 72, 045443 (2005) CrossRefADSGoogle Scholar
  39. 39.
    P.G. Etchegoin, E.C. Le Rue, M. Meyer, J. Chem. Phys. 125, 164705 (2006) CrossRefADSGoogle Scholar
  40. 40.
    P.G. Etchegoin, E.C. Le Rue, M. Meyer, J. Chem. Phys. 127, 189901 (2007) CrossRefADSGoogle Scholar
  41. 41.
    E.D. Palik, Handbook of Optical Constants of Solids (Academic Press, California, 1998) Google Scholar
  42. 42.
    E.A. Coronado, G.C. Schatz, J. Chem. Phys. 119, 3926 (2003) CrossRefADSGoogle Scholar
  43. 43.
    M. Bostrom, B. Sernelius, Phys. Rev. Lett. 84, 4757 (2000) CrossRefADSGoogle Scholar
  44. 44.
    M. Bordag, G.L. Klimchitskaya, U. Mohideen, V.M. Mostepanenko, Advances in the Casimir Effect (Oxford University Press, London, 2009) Google Scholar
  45. 45.
    S. Adachi, Optical Constants of Crystalline and Amorphous Semiconductors (Kluwer Academic Publishers, Massachussetts, 1999) Google Scholar
  46. 46.
    R. Esquivel-Sirvent, C. Villarreal, W.L. Mochán, G.H. Cocoletzi, Phys. Stat. Sol. B 230, 409 (2002) CrossRefADSGoogle Scholar
  47. 47.
    H.R. Philipp, E.A. Taft, Phys Rev. 120, 37 (1960) CrossRefADSGoogle Scholar
  48. 48.
    L. Duraffourg, P. Andreucci, Phys. Lett. A 359, 406 (2006) CrossRefADSGoogle Scholar
  49. 49.
    J.A. Pelesko, D.H. Bernstein, Modeling MEMS and NEMS (Chapman & Hall/CRC, Boca Raton, 2003) Google Scholar
  50. 50.
    V. Rochus, D.J. Rixen, J.C. Golinval, Nonlinear Analysis 63, e1619 (2005) CrossRefMATHGoogle Scholar
  51. 51.
    J.C. Ginn, R.L. Jarecki, E.A. Shaner, P.S. Davids, J. Appl. Phys. 110, 043110 (2011) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Instituto de Física, Universidad Nacional Autónoma de MéxicoMéxicoMexico

Personalised recommendations