Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-22T20:10:05.717Z Has data issue: false hasContentIssue false
  • English
  • Français

Non-perturbative analysis of impurity effects on the Kubo conductivity of nano to macroscopic structures

Published online by Cambridge University Press:  08 January 2016

Vicenta Sánchez ,
Fernando Sánchez ,
Carlos Ramírez  and
Chumin Wang
Vicenta Sánchez
Affiliation:
Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 70-542, 04510 D.F. México
Fernando Sánchez
Affiliation:
Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 70-542, 04510 D.F. México
Carlos Ramírez
Affiliation:
Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 70-542, 04510 D.F. México
Chumin Wang*
Affiliation:
Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Apartado Postal 70-360, 04510 D.F. México
*
*(Email: [email protected])
Get access

Abstract

The presence of impurities in solids is a source of many interesting effects, particularly relevant in the conductivity, optical properties and specific heat. For instance, in nano-electronics these effects could be useful to develop molecular devices such as novel computer architectures, chemical and biomedical sensors. However, the inclusion of impurities breaks the translational symmetry, restricting the systems that can be addressed theoretically in an exact way to those of few atoms. In this work, we present an alternative way to study the electrical conductance in real-space by means of a renormalization plus convolution method applied on the Kubo-Greenwood formula for multidimensional systems of macroscopic size with site and bond impurities. The results show that the spectral average of conductivity depends strongly on the location of site and bond impurities in periodic chains. Particularly, when the distance between impurities follows the Fibonacci sequence, we find that the spectral average falls following a power law as the number of atoms in the system grows. Finally, we analyze the impurity effects on the conductance spectra of periodic core-shell nanowires with a macroscopic length and periodic and quasiperiodically located impurities.

Keywords

electrical propertiescore/shelldefects
Type
Articles
Information
MRS Advances , Volume 1 , Issue 24: Theory, Characterization, and Modeling , 2016 , pp. 1779 - 1784
Copyright
Copyright © Materials Research Society 2016 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Ghosh Chaudhuri, R. and Paria, S., Chem. Rev. 112, 2373, (2012).Google Scholar
Islam, A. E., Rogers, J. A. and Alam, M. A., Adv. Mater (2015), DOI: 10.1002/adma.201502918.Google Scholar
Wang, X., Behabtu, N., Young, C. C., Tsentalovich, D. E., Pasquali, M. and Kono, J., Adv. Funct. Mater. 24, 3241, (2014).Google Scholar
Close, G. F., Yasuda, S., Paul, B., Fujita, S. and Wong, H. S. P., Nano Lett. 8, 706, (2008).CrossRefGoogle Scholar
Ratera, I. and Veciana, J., Chem. Soc. Rev. 41, 303, (2012).Google Scholar
Barth, J. V., Costantini, G. and Kern, K., Nature 437, 671, (2005).Google Scholar
Chae, D.-H., Utikal, T., Weisenburger, S., Giessen, H., Klitzing, K. V., Lippitz, M. and Smet, J., Nano Lett. 11, 1379, (2011).Google Scholar
Nozaki, D., Sevinçli, H., Avdoshenko, S. M., Gutierrez, R. and Cuniberti, G. Phys. Chem. Chem. Phys. 15, 13951, (2013).Google Scholar
Xia, X., Tu, J., Zhang, Y., Wang, X., Gu, C., Zhao, X. and Jin Fan, H., ACS Nano 6, 5531, (2012).Google Scholar
Sánchez, V. and Wang, C., Phys. Rev. B. 70, 144207, (2004).Google Scholar
Kramer, B. and MacKinnon, A., Rep. Prog. Phys. 56, 1469 (1993).Google Scholar
Oviedo-Roa, R., Perez, L.A. and Wang, C., Phys.Rev.B 62, 13805 (2000).Google Scholar
Schwalm, W.A. and Schwalm, M.K., Phys. Rev. B 37, 9524 (1988).CrossRefGoogle Scholar
Wang, C., Ramírez, C., Sánchez, F. and Sánchez, V., Phys. Status Solidi B 252, 1370 (2015).Google Scholar
Wunderlich, T., Akgenc, B., Eckern, U., Schuster, C. and Schwingenschlögl, U., Sci. Rep. 3, 2605 (2013).CrossRefGoogle Scholar
Zhou, W.-X. and Chen, K.-Q., Sci. Rep. 4, 7150 (2014).CrossRefGoogle Scholar
Wang, C., González, J.E. and Sánchez, V., Mater. Res. Soc. Symp. Proc. 1735 (2015) DOI: 10.1557/opl.2015.307.Google Scholar
Andrews, S. C., Fardy, M. A., Moore, M. C., Aloni, S., Zhang, M., Radmilovic, V., and Yang, P., Chem. Sci. 2, 706 (2011).Google Scholar