Absence of rippling in graphene under biaxial tensile strain

Rakshit, Bipul ; Mahadevan, Priya (2010) Absence of rippling in graphene under biaxial tensile strain Physical Review B: Condensed Matter and Materials Physics, 82 (15). Article ID 153407. ISSN 2469-9950

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Official URL: http://journals.aps.org/prb/abstract/10.1103/PhysR...

Related URL: http://dx.doi.org/10.1103/PhysRevB.82.153407

Abstract

Recent experiments [C. H. Lui, L. Liu, K. F. Mak, G. W. Flynn, and T. F. Heinz, Nature (London) 462, 339 (2009)] on graphene grown on ultraflat substrates have found no rippling in graphene when subject to temperature cycling. Unsupported/unstrained films of graphene as well as films grown on various substrates on the other hand have been found to show rippling effects. As graphene grown on a substrate is invariably strained, we examine the behavior of the out-of-plane acoustic-phonon mode with biaxial tensile strain. This mode is generally associated with the rippling of graphene. We find that it can be fit to a relation of the form w2=Ak4+Bk2, where w and k are the frequency and wave vector, respectively. The coefficient A is found to show a weak dependence on strain while B is found to increase linearly with strain. The strain-induced hardening explains the absence of rippling in graphene subject to biaxial strain. In addition, we find that graphene when subject to a biaxial tensile strain is found to undergo a structural transition with the mode at K going soft at a strain percentage of 15%.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:102960
Deposited On:02 Feb 2018 03:55
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