DC Size Effect and Specular Surface Scattering in Cadmium

1987 ◽  
Vol 26 (S3-1) ◽  
pp. 653 ◽  
Author(s):  
Jacobus Van der Maas ◽  
Robert Huguenin
1982 ◽  
Vol 43 (4) ◽  
pp. 685-689 ◽  
Author(s):  
P. de Andrés ◽  
R. Monreal ◽  
F. Flores ◽  
F. García-Moliner

Materials ◽  
2019 ◽  
Vol 12 (13) ◽  
pp. 2129
Author(s):  
Rui Li ◽  
Lan Mi ◽  
Jian Wang ◽  
Mao Mao ◽  
Wenhua Gu ◽  
...  

A theoretical model for the electrical conductivity size effect of square nanowires is proposed in this manuscript, which features combining the three main carrier scattering mechanisms in polycrystalline nanowires together, namely, background scattering, external surface scattering, as well as grain boundary scattering. Comparisons to traditional models and experiment data show that this model achieves a higher correlation with the experiment data.


Author(s):  
Bo Feng ◽  
Zhixin Li ◽  
Xing Zhang

A model is developed for in-plane thermal conductivity of nanostructured metallic films based on the kinetic theory, which attributes the reduced thermal conductivity to the reduced mean free path of electrons. The partially inelastic electron-surface scattering and grain-boundary impedance by quantum mechanical treatment are elaborately included. Meanwhile, the mean free path of electrons is also used to study in-plane electrical conductivity of nanofilms. Both electrical conductivity and thermal conductivity, varying with film thickness and temperature, are observed to be lower than corresponding bulk values, agreeing well with the experimental data. The grain-boundary scattering is theoretically found to dominate over surface scattering to enhance the size effect on electrical and thermal conductivities. In addition, the size effect in low temperature appears more dramatic due to larger electron Knudsen number. We further examine the Lorenz number of nanofilms and find the Wiedemann-Franz law is seriously violated. The Coulomb blockade and the neutral excitation of electron-hole pair are used to offer a more detailed picture. Excessive thermal conductivity is also evaluated resorting to concepts in granular metals to show the validity of this account.


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