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Nanostrukturen und Grenzflächen Poster: Do., 13:00–15:30 D-P271<br />

Finite-size effects in the electrical resistance of single bismuth nanowires<br />

electrochemically deposited in ion track-etched membranes<br />

Thomas W. Cornelius 1 , M. Eugenia Toimil-Molares 1 , Shafqat Karim 2 , Reinhard<br />

Neumann 1<br />

1 Gesellschaft für Schwerionenforschung (GSI), Planckstr. 1, 64291 Darmstadt, Germany<br />

– 2 Fachbereich Chemie, Marburg University, Hans-Meerwein-Str., 35032 Marburg,<br />

Germany<br />

In recent years, nanowires attracted enormous interest due to their possible future<br />

applications. When the object size becomes comparable to intrinsic length scales -<br />

electron mean free path and Fermi wavelength - classical and quantum size effects are<br />

expected [1]. Both are large in bismuth compared to conventional metals, making it an<br />

ideal material to study on the nanoscale. Polycarbonate foils were irradiated with single<br />

swift heavy ions at the UNILAC linear accelerator of GSI and subsequently etched<br />

in aqeuous sodium hydroxide. By this means, single-pore membranes were created in<br />

which single bismuth nanowires were deposited electrochemically [2]. Thereafter, the<br />

wires contacted electrically while left embedded in the template [3]. The mean size<br />

of the grains building up the wires was varied systematically by employing different<br />

deposition conditions. The specific electrical resistivity is a function of the wire crystallinity.<br />

It increases for wires fabricated at lower temperatures and higher potentials,<br />

i.e., consisting of smaller grains. These findings are in qualitative agreement with theoretical<br />

models about electron scattering at grain boundaries [4]. The wire resistance as<br />

a function of the temperature was recorded, revealing a non-monotonic behaviour. It<br />

rises, exhibits a maximum, and declines when cooling down from room temperature to<br />

20 K. The resistance maximum shifts to higher temperatures for diminishing diameter<br />

and the maximum becomes the higher the smaller the mean grain size is. From the<br />

electrical resistance, the carrier mobility was deduced. While the mobility increases<br />

more than three orders of magnitude in bulk bismuth when cooling down from 300 to<br />

4 K, it saturates for nanowires at low temperatures. Being a function of mean grain size<br />

and wire diameter the mobility is one to two orders of magnitude smaller for nanowires<br />

than for the bulk.<br />

[1] V.B. Sandormirskii, Sov. Phys. JETP 25 (1967) 101<br />

[2] T.W. Cornelius, et al., Nanotechnology 16 (2005) S246<br />

[3] M.E. Toimil-Molares, et al., Nanotechnology 15 (2004) S201<br />

[4] A.F. Mayadas, et al., Phys. Rev. B 1 (1970) 1382

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