Theoretical description of thermal transport in graphene: The issues of phonon cut‐off frequencies and polarization branches

Nika, Denis L.; Pokatilov, E. P.; Balandin, Alexander A.

doi:10.1002/pssb.201100186

Cited by 76 publications

(72 citation statements)

References 46 publications

(134 reference statements)

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“…[85]) is without of scientific merit and leads to the erroneous calculation of thermal conductivity [86]. Equations figure 6, is an intrinsic quantity limited by the three-phonon Umklapp scattering only.…”

Section: Acoustic Phonon Transport In Two-dimensional Crystalsmentioning

confidence: 99%

Two-dimensional phonon transport in graphene

Nika¹,

Balandin²

2012

J. Phys.: Condens. Matter

438

412

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Properties of phonons -quanta of the crystal lattice vibrations -in graphene have attracted strong attention of the physics and engineering communities. Acoustic phonons are the main heat carriers in graphene near room temperature while optical phonons are used for counting the number of atomic planes in Raman experiments with few-layer graphene. It was shown both theoretically and experimentally that transport properties of phonons, i.e. energy dispersion and scattering rates, are substantially different in the quasi two-dimensional system such as graphene compared to basal planes in graphite or three-dimensional bulk crystals. The unique nature of two-dimensional phonon transport translates to unusual heat conduction in graphene and related materials. In this review we outline different theoretical approaches developed for phonon transport in graphene, discuss contributions of the in-plane and cross-plane phonon modes and provide comparison with available experimental thermal conductivity data. Particular attention is given to analysis of recent theoretical results for the phonon thermal conductivity of graphene and few-layer graphene, and the effects of the strain, defects and isotopes on the phonon transport in these systems.

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Section: Acoustic Phonon Transport In Two-dimensional Crystalsmentioning

confidence: 99%

Two-dimensional phonon transport in graphene

Nika¹,

Balandin²

2012

J. Phys.: Condens. Matter

438

412

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“…Graphene has high thermal conductivity [49,[114][115][116][117][118][119][120][121][122][123][124], which behaves irregularity with the length in Q2D graphene; in other words, the in-plane thermal conductivity is not constant and increases with increasing sample length [125][126][127][128][129][130][131][132][133]. For 10 nm long graphene, the roomtemperature thermal conductivity from the MD simulation is on the order of 60 W·m −1 ·K −1 [134].…”

Section: Thermal Conductivitymentioning

confidence: 99%

Graphene versus MoS2: A short review

Jiang

2015

Front. Phys.

183

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Graphene and MoS 2 are two well-known quasi two-dimensional materials. This review presents a comparative survey of the complementary lattice dynamical and mechanical properties of graphene and MoS 2 , which facilitates the study of graphene/MoS 2 heterostructures. These hybrid heterostructures are expected to mitigate the negative properties of each individual constituent and have attracted intense academic and industrial research interest.

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“…Although the strong size dependence was reported in many studies of heat conduction in graphene or CNTs [13,[16][17][19][20][21][25][26][27][28][29][30][31][32][33], it is usually difficult to distinguish among the various possible mechanisms. Among them are the K(L) dependence in the ballistic thermal transport regime where L<< the K dependence on the nanoribbon width due to the acoustic phonon -rough edge scattering, or the fundamental K size dependence in 1D or 2D lattices where anharmonic interactions are not sufficient for establishing finite K over the given length scale L. These important questions call for a rigorous study of the lateral size effects on the thermal conductivity of graphene ribbons and graphite slabs.…”

Section: Context Imagementioning

confidence: 99%

“…Substituting the expression for the phonon Umklapp relaxation time scattering to the first order [27,30,35]. This model is not suitable for the large graphene samples when other scattering mechanisms, e.g.…”

Section: Context Imagementioning

confidence: 99%

Anomalous Size Dependence of the Thermal Conductivity of Graphene Ribbons

2012

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We investigated the thermal conductivity K of graphene ribbons and graphite slabs as the function of their lateral dimensions. Our theoretical model considered the anharmonic three-phonon processes to the second-order and included the angle-dependent phonon scattering from the ribbon edges. It was found that the long mean free path of the longwavelength acoustic phonons in graphene can lead to an unusual non-monotonic dependence of the thermal conductivity on the length L of a ribbon. The effect is pronounced for the ribbons with the smooth edges (specularity parameter p>0.5). Our results also suggest that -contrary to what was previously thought -the bulk-like 3D phonons in graphite can make a rather substantial contribution to its in-plane thermal conductivity. The Umklapp-limited thermal conductivity of graphite slabs scales, for L below ~ 10 m, as log(L) while for larger L, the thermal conductivity approaches a finite value following the dependence K 0 -A×L -1/2 , where K 0 and A are parameters independent of the length. Our theoretical results clarify the scaling of the phonon thermal conductivity with the lateral sizes in graphene and graphite. The revealed anomalous dependence K(L) for the micrometer-size graphene ribbons can account for some of the discrepancy in reported experimental data for graphene.

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Theoretical description of thermal transport in graphene: The issues of phonon cut‐off frequencies and polarization branches

Cited by 76 publications

References 46 publications

Two-dimensional phonon transport in graphene

Two-dimensional phonon transport in graphene

Graphene versus MoS2: A short review

Anomalous Size Dependence of the Thermal Conductivity of Graphene Ribbons

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