2011
DOI: 10.1007/s10825-011-0380-9
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Study of thermal properties of graphene-based structures using the force constant method

Abstract: The thermal properties of graphene-based materials are theoretically investigated. The fourthnea-rest neighbor force constant method for phonon properties is used in conjunction with both the Landauer ballistic and the non-equilibrium Green's function techniques for transport. Ballistic phonon transport is investigated for different structures including graphene, graphene antidot lattices, and graphene nanoribbons. We demonstrate that this particular methodology is suitable for robust and efficient investigati… Show more

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Cited by 20 publications
(20 citation statements)
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“…This means that 2D graphene and its multilayer counterparts are useful for thermal management applications [21]. The high thermal conductivity of the graphene is mainly due to the high phonon contribution to heat transport.…”
Section: Resultsmentioning
confidence: 99%
“…This means that 2D graphene and its multilayer counterparts are useful for thermal management applications [21]. The high thermal conductivity of the graphene is mainly due to the high phonon contribution to heat transport.…”
Section: Resultsmentioning
confidence: 99%
“…Under the harmonic approximation, the motion of atoms can be described by a dynamic matrix as [15]: (2) where dynamic matrix component between atoms 'i' and 'j' is given as shown in Ref. [14] by: After setting up the dynamic matrix, the following eigenvalue problem is solved to calculate the phononic dispersion:…”
mentioning
confidence: 99%
“…where l D is the dynamic matrix representing the interaction between the unit cell and its neighboring unit cells separated by l R [15]. Using the phononic dispersion, the density of states (DOS) and the ballistic transmission (number of modes at given energy) are calculated as shown in Ref.…”
mentioning
confidence: 99%
“…is the second derivative of the potential energy (U ) after atoms 'i' and 'j' are slightly displaced along the m-axis and For setting up the dynamical matrix component between the i th and the j th carbon atoms, which are the N th nearestneighbors of each other, we use the force constant method (FCM), involving interactions up to the fourth nearestneighbor [54,55]. The force constant tensor is given by:…”
Section: Methodsmentioning
confidence: 99%