Thermal Resistance by Transition Between Collective and Non-Collective Phonon Flows in Graphitic Materials

References

• R. A. Guyer and J. A. Krumhansl, “Thermal conductivity, second sound, and phonon hydrodynamic phenomena in nonmetallic crystals,” Phys. Rev., vol. 148, 1966. DOI: 10.1103/PhysRev.148.778.
   Google Scholar
• R. A. Guyer and J. A. Krumhansl, “Solution of the linearized phonon Boltzmann equation,” Phys. Rev., vol. 148, 1966. DOI: 10.1103/PhysRev.148.766.
   Google Scholar
• L. Mezhov-Deglin, “measurement of the thermal conductivity of crystalline he4,” j. Exp. Theor. Phys, vol. 49, 1965. 66-79
   Google Scholar
• H. E. Jackson, C. T. Walker, and T. F. McNelly, “Second sound in NaF,” Phys. Rev. Lett., vol. 25, 1970. DOI: 10.1103/PhysRevLett.25.26.
   Web of Science ®Google Scholar
• S. Lee, D. Broido, K. Esfarjani, and G. Chen, “Hydrodynamic phonon transport in suspended graphene,” Nat. Commun., vol. 6:6290, 2015. DOI: 10.1038/ncomms7290.
   Google Scholar
• A. Cepellotti, et al., “Phonon hydrodynamics in two-dimensional materials,” Nat. Commun., vol. 6, 2015. DOI: 10.1038/ncomms7400.
   PubMed Web of Science ®Google Scholar
• S. Lee and L. Lindsay, “Hydrodynamic phonon drift and second sound in a (20,20) single-wall carbon nanotube,” Phys. Rev. B, vol. 95, 2017. DOI: 10.1103/PhysRevB.95.184304.
   Web of Science ®Google Scholar
• Z. Ding, et al., “Phonon hydrodynamic heat conduction and knudsen minimum in graphite,” Nano Lett., vol. 18, 2018. DOI: 10.1021/acs.nanolett.8b00003.
   Web of Science ®Google Scholar
• L. Lindsay, D. A. Broido, and N. Mingo, “Flexural phonons and thermal transport in graphene,” Phys. Rev. B, vol. 82, 2010. DOI: 10.1103/PhysRevB.82.115427.
   Web of Science ®Google Scholar
• R. E. Peierls. Quantum Theory of Solids. New York, USA: Oxford University Press, 1955.
   Google Scholar
• R. Gurzhi, “thermal conductivity of dielectrics and ferrodielectrics at low temperatures,” j. Exp. Theor. Phys., vol. 46, 1964. 719–724
   Google Scholar
• X. Li, and S. Lee, “role of hydrodynamic viscosity on phonon transport in suspended graphene,” phys. Rev. B, Vol. 97, 2018.094309 doi:10.1103/PhysRevB.97.094309
   Web of Science ®Google Scholar
• J. A. Sussmann and A. Thellung, “Thermal conductivity of perfect dielectric crystals in the absence of umklapp processes,” Proc. Phys. Soc., vol. 81, pp. 1122–1130, 1963. DOI: 10.1088/0370-1328/81/6/318.
   Google Scholar
• G. Fugallo, M. Lazzeri, L. Paulatto, and F. Mauri, “Ab initio variational approach for evaluating lattice thermal conductivity,” Phys. Rev. B, vol. 88, 2013. DOI: 10.1103/PhysRevB.88.045430.
   Web of Science ®Google Scholar
• A. Ward, D. A. Broido, D. A. Stewart, and G. Deinzer (2009). Ab initio theory of the lattice thermal conductivity in diamond. Physical Review B, 80(12), 125203. doi:10.1103/PhysRevB.80.125203
   Web of Science ®Google Scholar
• J.-P. M. Péraud and N. G. Hadjiconstantinou, “Efficient simulation of multidimensional phonon transport using energy-based variance-reduced Monte Carlo formulations,” Phys. Rev. B, vol. 84, 2011. DOI: 10.1103/PhysRevB.84.205331.
   Web of Science ®Google Scholar
• Y. Guo and M. Wang, “Heat transport in two-dimensional materials by directly solving the phonon Boltzmann equation under callaway’s dual relaxation model,” Phys. Rev. B, vol. 96, 2017. DOI: 10.1103/PhysRevB.96.134312.
   Web of Science ®Google Scholar
• C. D. Landon and N. G. Hadjiconstantinou, “Deviational simulation of phonon transport in graphene ribbons with ab initio scattering,” J. Appl. Phys., vol. 116, pp. 163502, 2014. DOI: 10.1063/1.4898090.
   Web of Science ®Google Scholar
• S. Mazumder and A. Majumdar, “Monte carlo study of phonon transport in solid thin films including dispersion and polarization,” J. Heat. Transfer, vol. 123, pp. 749, 2001. DOI: 10.1115/1.1377018.
   Web of Science ®Google Scholar
• Q. Hao, G. Chen, and M.-S. Jeng, “Frequency-dependent Monte Carlo simulations of phonon transport in two-dimensional porous silicon with aligned pores,” J. Appl. Phys., vol. 106, pp. 114321, 2009. DOI: 10.1063/1.3266169.
   Web of Science ®Google Scholar
• C. Cercignani and A. Daneri, “Flow of a rarefied gas between two parallel plates,” J. Appl. Phys., vol. 34, pp. 3509–3513, 1963. DOI: 10.1063/1.1729249.
   Web of Science ®Google Scholar
• X. Li and S. Lee, “Crossover of ballistic, hydrodynamic, and diffusive phonon transport,” arXiv preprint arXiv:1811.04329, 2018.
   Google Scholar
• R. Yang, S. Yue, and B. Liao, “Hydrodynamic phonon transport between non-hydrodynamic contacts,” arXiv preprint arXiv:1806.07345, 2018.
   Google Scholar
• L. Lindsay and D. A. Broido, “Optimized tersoff and brenner empirical potential parameters for lattice dynamics and phonon thermal transport in carbon nanotubes and graphene,” Phys. Rev. B, vol. 81, 2010. DOI: 10.1103/PhysRevB.81.205441.
   Web of Science ®Google Scholar
• G. Kresse and J. Furthmüller, “Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set,” Phys. Rev. B, vol. 54, pp. 11169–11186, 1996. DOI: 10.1103/PhysRevB.54.11169.
   PubMed Web of Science ®Google Scholar
• P. E. Blöchl, “Projector augmented-wave method,” Phys. Rev. B, vol. 50, pp. 17953–17979, 1994. DOI: 10.1103/PhysRevB.50.17953.
   PubMed Web of Science ®Google Scholar
• J. P. Perdew and A. Zunger, “Self-interaction correction to density-functional approximations for many-electron systems,” Phys. Rev. B, vol. 23, pp. 5048–5079, 1981. DOI: 10.1103/PhysRevB.23.5048.
   Web of Science ®Google Scholar
• A. Togo and I. Tanaka, “First principles phonon calculations in materials science,” Scr. Mater., vol. 108, pp. 1–5, 2015. DOI: 10.1016/j.scriptamat.2015.07.021.
   Web of Science ®Google Scholar
• J. M. Ziman, Electrons and Phonons: The Theory of Transport Phenomena in Solids. UK: Oxford University Press, 1960.
   Google Scholar
• T. Feng and X. Ruan, “Four-phonon scattering reduces intrinsic thermal conductivity of graphene and the contributions from flexural phonons,” Phys. Rev. B, vol. 97, 2018. DOI: 10.1103/PhysRevB.97.045202.
   Web of Science ®Google Scholar