Abstract
The effect of an external bias voltage and spatial variations of the surface potential on the damping of cantilever vibrations in an atomic force microscope (AFM) is considered. The damping is due to an electrostatic friction that arises due to dissipation of the energy of an electromagnetic field generated in the sample by oscillating static charges induced on the surface of the AFM probe tip by the bias voltage or spatial variations of the surface potential. A similar effect appears when the tip is oscillating in an electrostatic field created by charged defects present in the dielectric sample. The electrostatic friction is compared to the van der Waals (vdW) friction between closely spaced bodies, which is caused by a fluctuating electromagnetic field related to the quantum and thermal fluctuations of current density inside the bodies. It is shown that the electrostatic friction and the vdW friction can be strongly enhanced in the presence of dielectric films or two-dimensional (2D) structures—such as a 2D electron system or an incommensurate layer of adsorbed ions exhibiting acoustic oscillations—on the probe tip and sample surfaces. It is also shown that the damping of cantilever oscillations caused by the electrostatic friction in the presence of such 2D structures can have the same order of magnitude and the same dependence on the distance as observed in experiment by Stipe et al. [Phys. Rev. Lett. 87, 096801 (2001)]. At small distances, the vdW friction can be large enough to be measured in experiment. In interpreting the experimental data that obey a quadratic dependence on the bias voltage, one can reject a phonon mechanism according to which the friction depends on the fourth power of the voltage.
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References
T. J. Gramila, J. P. Eisenstein, A. H. MacDonald, et al., Phys. Rev. Lett. 66, 1216 (1991); Surf. Sci. 263, 446 (1992).
T. J. Gramila, J. P. Eisenstein, A. H. MacDonald, et al., Phys. Rev. B 47, 12957 (1993); Physica B (Amsterdam) 197, 442 (1994).
U. Sivan, P. M. Solomon, and H. Shtrikman, Phys. Rev. Lett. 68, 1196 (1992).
I. Dorofeyev, H. Fuchs, G. Wenning, and B. Gotsmann, Phys. Rev. Lett. 83, 2402 (1999).
B. Gotsmann and H. Fuchs, Phys. Rev. Lett. 86, 2597 (2001).
B. C. Stipe, H. J. Mamin, T. D. Stowe, et al., Phys. Rev. Lett. 87, 096801 (2001).
H. J. Mamin and D. Rugar, Appl. Phys. Lett. 79, 3358 (2001).
P. M. Hoffmann, S. Jeffery, J. B. Pethica, et al., Phys. Rev. Lett. 87, 265 502 (2001).
A. I. Volokitin and B. N. J. Persson, Phys. Rev. Lett. 91, 106101 (2003).
A. I. Volokitin and B. N. J. Persson, Phys. Rev. B 68, 155 420 (2003).
A. I. Volokitin and B. N. J. Persson, Phys. Rev. Lett. 94, 86 104 (2005).
A. I. Volokitin, B. N. J. Persson, and H. Ueba, Phys. Rev. B 73, 165423 (2006).
S. Kuehn, R. F. Loring, and J. A. Marohn, Phys. Rev. Lett. 96, 156103 (2006).
D. Rugar, R. Budakian, H. J. Mamin, and B. W. Chui, Nature 430, 329 (2004).
J. A. Sidles, J. L. Carbini, K. J. Bruland, et al., Rev. Mod. Phys. 67, 249 (1995).
G. P. Berman, G. D. Doolen, P. C. Hammel, and V. I. Tsifrinovich, Phys. Rev. B 61, 14694 (2000).
N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B 429, 263 (1998); Sci. Am. 283, 62 (2000).
U. Mohideen and A. Roy, Phys. Rev. Lett. 81, 4549 (1998).
I. E. Dzyaloshinskii, E. M. Lifshitz, and L. P. Pitaevskii, Adv. Phys. 10, 165 (1961).
J. B. Pendry, J. Phys. C 9, 10301 (1997).
A. I. Volokitin and B. N. J. Persson, J. Phys.: Condens. Matter 11, 345 (1999); Phys. Low-Dimens. Semicond. Struct. 7/8, 17 (1998).
E. V. Teodorovich, Proc. R. Soc. London, Ser. A 362, 71 (1978).
J. Mahanty, J. Phys. B 13, 4391 (1980).
G. V. Dedkov and A. A. Kyasov, Phys. Lett. A 259, 38 (1999).
A. A. Kyasov and G. V. Dedkov, Surf. Sci. 463, 11 (2000).
A. I. Volokitin and B. N. J. Persson, Phys. Rev. B 65, 115 419 (2002).
W. L. Schaich and J. Harris, J. Phys. F 11, 65 (1981).
L. S. Levitov, Europhys. Lett. 8, 499 (1989).
V. G. Polevoĭ, Zh. Éksp. Teor. Fiz. 98, 1990 (1990) [Sov. Phys. JETP 71, 1119 (1990)].
V. E. Mkrtchian, Phys. Lett. A 207, 299 (1995).
B. N. J. Persson and Z. Zhang, Phys. Rev. B 57, 7327 (1998).
E. M. Lifshitz, Zh. Éksp. Teor. Fiz. 29, 94 (1955) [Sov. Phys. JETP 2, 73 (1956)].
M. S. Tomassone and A. Widom, Phys. Rev. B 56, 4938 (1997).
B. N. J. Persson and A. I. Volokitin, Phys. Rev. Lett. 84, 3504 (2000).
J. R. Zurita-Sánchez, J. J. Greffet, and L. Novotny, Phys. Rev. A 69, 022 902 (2004).
A. A. Chumak, P. W. Milonni, and G. P. Berman, Phys. Rev. B 70, 085 407 (2004).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media, 2nd ed. (Nauka, Moscow, 1982; Pergamon, Oxford, 1984).
CRC Handbook of Chemistry and Physics, Ed. by C. R. Lide (CRC Press, Boca Raton, Fla., 2001).
C. I. Sukenik, M. G. Boshier, D. Cho, et al., Phys. Rev. Lett. 70, 560 (1993).
S. Hudlet, M. S. Jean, C. Guthmann, and J. Berger, Eur. Phys. J. B 2, 5 (1998).
B. N. J. Persson, Phys. Rev. B 44, 3277 (1991).
T. D. Stowe, T. W. Kenny, D. J. Thomson, and D. Rugar, Appl. Phys. Lett. 75, 2785 (1999).
D. C. Langreth, Phys. Rev. B 39, 10020 (1989).
P. Senet, J. P. Toennis, and G. Witte, Chem. Phys. Lett. 299, 389 (1999).
U. Hartmann, Phys. Rev. B 42, 15441 (1990); Phys. Rev. B 43, 2404 (1991).
P. Johansson and P. Apell, Phys. Rev. B 56, 4159 (1997).
P. Debye, Polar Molecules (Chemical Catalog Co., New York, 1929; Gostekhizdat, Moscow, 1931), Chap. 5.
B. E. Sernelius, Surface Modes in Physics (Wiley-VCH, Berlin, 2001), Chap. 2.
B. N. J. Persson, J. Chem. Phys. 115, 3840 (2001).
B. N. J. Persson and R. Ryberg, Phys. Rev. B 32, 3586 (1985).
F. A. McClintock and A. S. Argon, Mechanical Behavior of Material (Addison-Wesley, Reading, Mass., 1966), p. 475.
B. N. J. Persson, Sliding Friction: Physical Principle and Applications (Springer, Heidelberg, 2000).
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Original Russian Text © A.I. Volokitin, B.N.J. Persson, H. Ueba, 2007, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 131, No. 1, pp. 107–122.
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Volokitin, A.I., Persson, B.N.J. & Ueba, H. Giant enhancement of noncontact friction between closely spaced bodies by dielectric films and two-dimensional systems. J. Exp. Theor. Phys. 104, 96–110 (2007). https://doi.org/10.1134/S1063776107010116
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DOI: https://doi.org/10.1134/S1063776107010116