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We have measured the resistances (and resistivities) of Ag and Cu nanowiresof diameters ranging from 15nm to 200nm in the temperature range 4.2K-300K withthe specific aim to assess the applicability of the Bloch-Gr\"{u}neisen formulafor electron phonon resistivity in these nanowires. The wires were grown withinpolymeric templates by electrodeposition. We find that in all the samples theresistance reaches a residual value at T=4.2K and the temperature dependence ofresistance can be fitted to the Bloch-Gr\"{u}neisen formula in the entiretemperature range with a well defined transport Debye temperature($\Theta_{R}$). The value of Debye temperature obtained from the fits liewithin 8% of the bulk value for Ag wires of diameter 15nm while for Cunanowires of the same diameter the Debye temperature is significantly lesserthan the bulk value. The electron-phonon coupling constants (measured by$\alpha_{el-ph}$ or $\alpha_{R}$) in the nanowires were found to have the samevalue as that of the bulk. The resistivities of the wires were seen to increaseas the wire diameter was decreased. This increase in the resistivity of thewires may be attributed to surface scattering of conduction electrons. Thespecularity p was estimated to be about 0.5. The observed results allow us toobtain the resistivities exactly from the resistance and gives us a method ofobtaining the exact numbers of wires within the measured array (grown withinthe template).Comment: 9 pages, 10 figure

physical review. b, condensed matter and materials physics

Temperature dependence of the resistance of metallic nanowires of diameter<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo>⩾</mml:mo><mml:mn>15</mml:mn><mml:mspace width="0.3em" /><mml:mi>nm</mml:mi></mml:mrow></mml:math>: Applicability of Bloch-Grüneisen theorem

Temperature dependence of the resistance of metallic nanowires of diameter⩾15nm: Applicability of Bloch-Grüneisen theorem