Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-24T10:59:23.746Z Has data issue: false hasContentIssue false

Lattice Green's Function for Multiscale Modeling of Strain Field Due to a Vacancy or Other Point Defects in Graphene

Published online by Cambridge University Press:  06 August 2020

V.K. Tewary*
Affiliation:
Applied Chemicals and Materials Division NIST, Boulder, CO80305
E.J. Garboczi
Affiliation:
Applied Chemicals and Materials Division NIST, Boulder, CO80305
Get access

Abstract

A multiscale Green's function method, based upon a solution of the Dyson equation, is described for modeling the strain field due to a vacancy or any other point defect in graphene and other 2D materials. Numerical results are presented using a fourth-neighbor force-constant model for the purpose of illustration.

Type
Articles
Copyright
Copyright © 2020 Materials Research Society

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

Keimer, B. and Moore, J.E., Nature Physics 13 (2017) 1045.CrossRefGoogle Scholar
Akman, N. and Ozdogan, C., Journal of Magnetism and Magnetic Materials 502 (2020) 166530.CrossRefGoogle Scholar
Tewary, V. K., Physical Review B 69 (2004) 13.CrossRefGoogle Scholar
Tewary, V. K., in Chapter 2 - Modeling, Characterization and Production of Nanomaterials (Tewary, V. K. and Yong, Z., eds.), Elsevier, Amsterdam, 2015, p. 55-85.CrossRefGoogle Scholar
Smolyanitsky, A. and Tewary, V. K., in Modeling, Characterization and Production of Nanomaterials (Tewary, V. K. and Zhang, Y., eds.), Elsevier, Amsterdam, 2015, p. 87-111.CrossRefGoogle Scholar
Tewary, V. K., Advances in Physics 22 (1973) 757-810.10.1080/00018737300101389CrossRefGoogle Scholar
Pan, Ernian and Chen, Weiqiu, Static Green's functions in Anisotropic Media, Cambridge University Press, New York, 2015.Google Scholar
Maradudin, A.A., Montroll, E. W., Weiss, G. H., and Ipatova, I. P., Theory of lattice dynamics in the harmonic approximation, Academic Press, New York, 1971.Google Scholar
Lindsay, L. and Broido, D. A., Physical Review B 81 (2010) 205441.CrossRefGoogle Scholar
Zimmermann, J., Pavone, P., and Cuniberti, G., Physical Review B 78 (2008) 104426.CrossRefGoogle Scholar