Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.physleta.2011.05.002
Title: Gaussian curvature energy of graphene sheets
Authors: Martinez, J.C. 
Jalil, M.B.A. 
Issue Date: 13-Jun-2011
Citation: Martinez, J.C., Jalil, M.B.A. (2011-06-13). Gaussian curvature energy of graphene sheets. Physics Letters, Section A: General, Atomic and Solid State Physics 375 (24) : 2437-2440. ScholarBank@NUS Repository. https://doi.org/10.1016/j.physleta.2011.05.002
Abstract: The energy density of an elastic sheet is the sum of a mean curvature H term, 2kcH2, and a Gaussian curvature K term, k̄K, where kc, k̄ are constants. The sign of kc is commonly understood to be positive, but the sign of k̄ and even the role of K are subject to debate. We give reasons for the Gaussian contribution to be k̄|K| instead, with k̄ positive. This is used to obtain the mean amplitude of thermal fluctuations of a graphene sheet. © 2011 Elsevier B.V. All rights reserved.
Source Title: Physics Letters, Section A: General, Atomic and Solid State Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/82402
ISSN: 03759601
DOI: 10.1016/j.physleta.2011.05.002
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