Abstract
Recent investigations carried out in our group concerning the conductance quantization of metallic nanowires are reviewed. These include: i) The formation of metallic nanowires between macroscopic electrodes, including liquid metals, demonstrating that at the last stages of the contact breakage, a nanowire exists, independently of the initial contact size. ii) A statistical study of the conductance using thousands of consecutive contact breakage experiments, both at room and at liquid helium temperatures. These histograms, totally reproducible, present clear peaks close to integer values of the quantum of conductance G0=2e2/h for diamagnetic metals like Gold, Silver, Copper, Sodium, Platinum.... Ferromagnetic metals, Iron, Cobalt and Nickel, exhibit a flat conductance histogram. This effect is attributed to the combination of the lifting of the spin degeneracy in the ferromagnetic nanowires and the effect of geometry and disorder. The measured conductance histograms are basically independent of the temperature. iii) A discussion of the position and width of the observed peaks. Just geometrical effects can not explain the large conductance peak shifts observed experimentally, and disorder, behaving as a residual resistance, has to be invoked to explain them. iv) First realization of conductance quantization in Bi at 4K. Conductance plateaus lasting 20-100 nm electrode separation are presented; the histogram displays also clear peaks. v) A statistical study of the conductance plateau duration, demonstrating a broad distribution of this duration, 0.05-0.4 nm, with an average value that decreases as conductance increases. vi) A discussion of force and energy quantization within a resonant energy model of two reservoirs connected by a ballistic channel. vii) Experiments performed in ultra high vacuum, where we manage to stabilize the nanowires for hours and study switching and current voltage characteristics for different quantum conductance channels with remarkable accuracy. viii) Visualization inside scanning and transmission electron microscopes of the metallic contact between two macroscopic electrodes at the micron and nanometer scales. These experiments provide experimental evidence of the formation of a connective neck between the electrodes. ix) Experiments on light emission from breaking nanowires. A plausible explanation for this phenomenon is presented.
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References
van Wees, B.J., van Houten, H., Beenakker, C.W.J., Williamson, J.G., Kouwenhoven, L.P., van der Marel, D. and Foxon, C.T. (1988) Phys. Rev. Lett. 60, 848;
Wharham, D.A., Thornton, T.J., Newbury, R., Pepper, M., Ahmed, H., Frost, J.E.F., Hasko, D.G., Peacock, D.C., Ritchie, D.A. and Jones, G.A.C. (1988) J. Phys. C 21, L209.
Joint European-American-Japanese Conference on Future Information Technologies, Helsinki, Finland (1995).
Anderson, P.W. (1958) Phys. Rev. 109, 1492.
Lang, N.D. (1987) Phys. Rev. B 36, 8173.
Landauer, R. (1989) J. Phys. Condens. Matter 1, 8099.
García, N. and Escapa, L. (1989) Appl. Phys. Lett. 54, 1418;
García, N. (1987) presentation at the STM Workshop, International Centre for Theoretical Physics, Trieste.
See for the 2D electron gas the review by Beenaker, C.W.J. and Houten, H.V. (1991) in Solid State Phys.44, edited by Ehrenreich, H. and Turnbull, D., Academic, New York.
Kander, E., Imry, Y., and Sivan, U. (1990) Phys. Rev. B 41, 12941.
Garcia, R. and Garcia, N. (1991) Surf. Science 251/252, 408.
Torres, J., Pascual, J.I. and Sáenz, J.J. (1994) Phys. Rev. B 49, 16581.
Bogachek, E.N., Zagoskin, A.M. and Kulik, I.O. (1990) Sov. J. Low Temp. Phys. 16, 796.
García-Mochales, P., Serena, P.A., Garcia, N. and Costa-Krämer, J.L. (1996) Phys. Rev. B 563, 10268.
Todorov T.N. and Briggs, G.A.D. (1994) J. Phys. Condens. Matter 6, 2559.
Landman, U., Luedtke, W.D., Burnham, N.A. and Colton, R.J. (1990) Science 248, 454
Landman U. and Luedtke, W.D. (1991) J. Vac. Sci. Technol. 9, 414.
Todorov, T.N. and Sutton, P. (1992) Phys. Rev. B 70, 2138.
Bratkovsky, A.M., Sutton, A.P. and Todorov, T.N. (1995) Phys. Rev. B 52, 5036.
Pascual, J.I., Méndez, J., Gómez-Herrero, J., Baró, A.M., Garcia, N., Landman, U., Luedtke, W.D., Bogacheck, E.N., Cheng, H.-P. (1995) Science 267, 1793.
Binnig, G., Rohrer, H., Gerber, Ch. and Weibel, E. (1982) Phys. Rev. Lett. 49, 57.
Pascual, J.I., Méndez, J., Gómez-Herrero, J., Baró, A.M., García, N. and Binh, V.T. (1993) Phys. Rev. Lett. 71, 1852.
Olesen, L., Laegsgaard, E., Stensgaard, I., Besenbacher, F., Schiotz, J., Stoltze, P., Jacobsen, K.W. and Norskov, J.K. (1994) Phys. Rev. Lett. 72, 2251.
Brandbyge, M., Schiotz, J., Sorensen, M.R., Stoltze, P., Jacobsen, K.W., Norskov, J.K., Olesen, L., Laegsgaard, E., Stensgaard, I. and Besenbacher, F.(1995) Phys. Rev. B 52, 8499.
Agraït, N., Rodrigo, J.G. and Vieira, S. (1993) Phys. Rev. B 47, 12345.
Agraït, N., Rubio, G. and Vieira, S. (1995) Phys. Rev. Lett. 74, 3995.
Muller, C.J., van Ruitenbeek, J.M. and de Jongh, L.J. (1992) Phys. Rev. Lett. 69, 140.
Krans, J.M., Muller, C.J., Yanson, I.K., Govaert, Th.C.M., Hesper, R. and van Ruitenbeek, J.M. (1993) Phys. Rev. B 48, 14721.
J.M. Krans, Krans J.M., Muller, C.J., van der Post, N., Postma, F.R., Sutton, A.P., Todorov, T.N. and van Ruitenbeek, J.M. (1995) Phys. Rev. Lett. 74, 2146
See Comment by Olesen L. et al, (1995) Phys. Rev. Lett. 74, 2147.
Krans, J.M., van Ruitenbeek, J.M., Fisun, V.V., Yanson, I.K. and de Jongh, L.J. (1995) Nature (London) 375, 767.
Smith, D.P.E. (1995) Science 269, 371.
Costa-Krämer, J.L., García, N., Garcia-Mochales P. and Serena, P.A. (1995) Surf. Sci. 342, L 1144.
Besenbacher, F., Olesen, L., Hansen, K., Laegsgaard, E. and Stensgaard, I. (1996), to be published in NATO ASI Series E (eds. P.A. Serena and N. Garcia, Kluwer Academic Publishers, Dordretch).
Costa-Krämer, J.L., García N. and Olin, H. “Conductance Quantization Histograms of Gold Nanowires at 4K”, submitted to Phys. Rev. B.
Costa-Krämer J.L. and García, N. Phys. Rev. B (in press).
Costa-Krämer J.L. and Garcia, N. (1996) Europhysics News 27, 89.
Krans J.M. and van Ruitenbeek J.M. (1994) Phys. Rev. B 50, 17659.
Wharam, D.A., Thornton, T.J., Newbury, R., Pepper, M., Ahmed, H., Frost, J.E.F., Hasko, D.G., Peacock, D.C., Ritchie, D.A. and Jones, G.A.C. (1988) J. Phys. C 21, L209
van Wees, B.J., van Houten, H., Beenakker, C.W.J., Williamson, J.G., van der Marel, D. and Foxton, C.T. (1988) Phys. Rev. Lett. 60, 848.
Costa-Krämer, J.L., García, N., García-Mochales, P., Serena., P.A., Marqués, M.I. and Correia, A. “Conductance Quantization in Nanowires Formed Between Micro and Macroscopic Metallic Electrodes”, Phys. Rev. B (in press).
Costa-Krämer, J.L., Garcia N. and Olin, H. “Conductance Quantization in Bismuth Nanowires at 4K”, submitted to Phys. Rev. Lett.
McDonald S.W. and Kaufman, A.N. (1979) Phys. Rev. Lett. 42, 1189;
McDonald S.W. and Kaufman, A.N. (1988) Phys. Rev. A 37, 3067 and references therein.
Bohigas, O., Giannoni, M.J., and Schmit, C. (1983) Phys. Rev. Lett. 52, 1.
Berry, M.V. and Tabor, M. (1977) Proc. Roy. Soc. London 356, 375
García-Mochales P., Serena, P.A., García N. and Costa-Krämer, J.L. “Quantum states of nanocontacts formed between macroscopic wires”, submitted to Europhysics Letters.
Rubio, G., Agraït N. and Vieira, S. (1996) Phys. Rev. Lett. 76, 2302.
Julian Chen, C. (1993) Introduction to Scanning Tunneling Microscopy, New-York, Oxford university Press.
Garcia N. and Binh, V.T. (1992) Phys. Rev. B 46, 7946;
Goodman F.O. and Garcia, N. (1991) Phys. Rev. B 43, 4728.
Ohnesorge F. and Binning, G. (1993) Science 260, 1451.
Landauer, R. (1989) J. Phys. Condens. Matter 1, 8099.
Imry J. (1986) Directions in Condensed Matter Physics, (ed. G. Grinstein and G. Masenko, World Scientific Publ., Singapore), 101.
Glazman L.I. and Khaetskii, A.V. (1989) Europhys. Lett. 9(3), 263.
Patel, N.K., Martin-Moreno, L., Pepper, M., Newbury, R., Frost, J.E.F., Ritchie, D.A., Jones, G.A.C., Jansses, J.T.M.B., Singleton J. and Perenboom, J.A.A.J. (1990) J. Phys. Condens. Matter 3, 7247.
Castarño E. and Kirczenow, G. (1990) Phys. Rev. B 41, 3874.
Fukuyama H. and Kubo, R. (1970) J. Phys. Soc. of Japan 28(3), 570; Fukuyama, H. private communication.
Wolff, P.A. (1964) J. Phys. Chem. Solids 25, 1057.
Escapa L. and Garcia, N. (1990) Appl. Phys. Lett. 56, 901.
Dremov, V.V. and Shapoval, S.Yu. (1995) JEPT Lett. 61, 337.
Kane C.L. and Fisher, M.P.A. (1993) Phys. Rev. B 46, 15233
Maslov D.L. and Stone, M. (1995) Phys. Rev. B 52, R5539.
Correia A. and Garcia N., Phys. Rev. B (in press).
Correia A., M.I. Marqués and Garcia N, submitted to J. of Vac. Sc. and Techn. B.
Welland M. et al (1996) To be published. The suggestion that there should be light emission in this experiments at low voltage, presumably due to plasmon relaxation, was made by J. Sass from Berlin.
Belotskii, E.D., Luk’yanets S.N and Tomchuk PM. (1992) Soviet Physics JEPT 74(1), 88.
Bischoff, M. and Pagnia, H. (1975) Thin solidfilms 29, 303.
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García, N., Costa-Krämer, J.L., Gil, A., Marqués, M.I., Correia, A. (1997). Conductance Quantization in Metallic Nanowires. In: Sohn, L.L., Kouwenhoven, L.P., Schön, G. (eds) Mesoscopic Electron Transport. NATO ASI Series, vol 345. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8839-3_16
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