2002
DOI: 10.1103/physrevb.65.064305
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Influence of isotope scattering on the thermal conductivity of diamond

Abstract: The thermal conductivity of diamond crystals with different isotope contents is evaluated in the framework of a microscopic model that considers acoustic-and optical-phonon branches. The phonon Boltzmann equation is solved iteratively, with the phonon wave vectors taken in the real Brillouin zone and the three-phonon normal and umklapp collisions, with the isotope scattering, rigorously treated. As a consequence, the evaluation of the thermal conductivity is done avoiding the relaxation-time approximation for … Show more

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Cited by 54 publications
(47 citation statements)
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“…Numerous theoretical investigations of the thermal transport properties of carbon based materials such as diamond [1][2][3], graphite [4][5], graphene [6][7][8][9] and carbon nanotubes [10][11][12][13][14][15][16][17][18][19][20][21] have been performed in recent years partly because these materials possess the highest known thermal conductivities [22][23][24][25][26][27][28][29][30]. Theoretical investigations of phonon thermal transport in materials commonly employ either molecular dynamics (MD) simulations or Boltzmann transport approaches.…”
Section: Introductionmentioning
confidence: 99%
“…Numerous theoretical investigations of the thermal transport properties of carbon based materials such as diamond [1][2][3], graphite [4][5], graphene [6][7][8][9] and carbon nanotubes [10][11][12][13][14][15][16][17][18][19][20][21] have been performed in recent years partly because these materials possess the highest known thermal conductivities [22][23][24][25][26][27][28][29][30]. Theoretical investigations of phonon thermal transport in materials commonly employ either molecular dynamics (MD) simulations or Boltzmann transport approaches.…”
Section: Introductionmentioning
confidence: 99%
“…The overall higher phonon frequencies with pressure are responsible for the majority of the increase in k L since this dramatically decreases the three-phonon scattering rates.. To highlight the connection between the optic phonon frequencies and k L the inset to Fig. 4 shows the calculated maximum optic phonon frequency, ω LTO , plotted against P [53]. It is evident that the rise in ω LTO with P tracks with the corresponding increase in k L .…”
Section: Resultsmentioning
confidence: 96%
“…However, the importance of the coupling between acoustic and optic modes in diamond has been noted previously [26,52,53]. While optic phonons carry little heat they are key participants in phonon-phonon scattering processes that limit k L .…”
Section: Resultsmentioning
confidence: 99%
“…More recently, an iterative approach to solve exactly the linearized phonon BTE has been achieved 8 and subsequently applied to bulk semiconductors [9][10][11][12] and to superlattices. 13,14 The only inputs to this approach are the harmonic and thirdorder anharmonic interatomic force constants ͑IFCs͒.…”
Section: Introductionmentioning
confidence: 99%