MEASURING PHONON MEAN FREE PATHS USING THERMAL CONDUCTIVITY SPECTROSCOPY

Annual Review of Heat Transfer

Volumn 16, Issue , 2013, Pages 183-210

  Minnich, Austin J ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GALLIUM ARSENIDE; III-V SEMICONDUCTORS; NANOTECHNOLOGY; PHONONS; SAPPHIRE; THERMAL CONDUCTIVITY;

CHARACTERISTIC LENGTH; CONDUCTIVITY SPECTROSCOPY; DIRECT MEASUREMENT; ENERGY APPLICATIONS; LENGTH SCALE; MEAN-FREE PATH; MEASUREMENTS OF; NANO-SCALE SYSTEM; PHONON MEAN FREE PATH; SIZES EFFECT;

HEAT CONDUCTION;

EID: 85162784994     PISSN: 10490787     EISSN: 23750294     Source Type: Book Series    
DOI: 10.1615/AnnualRevHeatTransfer.v16.70     Document Type: Chapter

References (52)

1. D. G. Cahill, W. K. Ford, K. E. Goodson, G. D. Mahan, A. Majumdar, H. J. Maris, R. Merlin, and S. R. Phillpot, Nanoscale thermal transport, J. Appl. Phys., 93(2):793–818, 2003.
2. J.-K. Yu, S. Mitrovic, D. Tham, J. Varghese, and J. R. Heath, Reduction of thermal conductivity in phononic nanomesh structures, Nat. Nanotechnol., 5(10):718–721, 2008.
3. A. I. Hochbaum, R. Chen, R. D. Delgado, W. Liang, E. C. Garnett, M. Najarian, A. Majumdar, and P. Yang, Enhanced thermoelectric performance of rough silicon nanowires, Nature, 451(7175):163–167, 2008.
4. G. Pernot, M. Stoffel, I. Savic, F. Pezzoli, P. Chen, G. Savelli, A. Jacquot, J. Schumann, U. Denker, I. Mönch, C. Deneke, O. G. Schmidt, J. M. Rampnoux, S. Wang, M. Plissonnier, A. Rastelli, S. Dilhaire, and N. Mingo, Precise control of thermal conductivity at the nanoscale through individual phonon-scattering barriers, Nat. Mater., 9(6):491–495, 2010.
5. R. J. Mehta, Y. Zhang, C. Karthik, B. Singh, R. W. Siegel, T. Borca-Tasciuc, and G. Ramanath, A new class of doped nanobulk high-figure-of-merit thermoelectrics by scalable bottom-up assembly, Nat. Mater., 11(3):233–240, 2012.
6. A. J. Minnich, M. S. Dresselhaus, Z. F. Ren, and G. Chen, Bulk nanostructured thermoelectric materials: Current research and future prospects, Energy Environ. Sci., 2(5):466–479, 2009
7. M. Zebarjadi, K. Esfarjani, M. S. Dresselhaus, Z. F. Ren, and G. Chen, Perspectives on thermoelectrics: From fundamentals to device applications, Energy Environ. Sci., 5:5147–5162, 2011.
8. E. Pop, Energy dissipation and transport in nanoscale devices, Nano Res., 3(3):147–169, 2010.
9. H. Casimir, Note on the conduction of heat in crystals, Physica, 5(6):495–500, 1938.
10. A. I. Boukai, Y. Bunimovich, J. Tahir-Kheli, J.-K. Yu, W. A. Goddard III, and J. R. Heath, Silicon nanowires as efficient thermoelectric materials, Nature, 451(7175):168–171, 2008.
11. B. Poudel, Q. Hao, Y. Ma, Y. Lan, A. Minnich, B. Yu, X. Yan, D. Wang, A. Muto, D. Vashaee, X. Chen, J. Liu, M. S. Dresselhaus, G. Chen, and Z. Ren, High-thermoelectric performance of nanostructured bismuth antimony telluride bulk alloys, Science, 320(5876):634–638, 2008.
12. N. Gomopoulos, D. Maschke, C. Y. Koh, E. L. Thomas, W. Tremel, H.-J. Butt, and G. Fytas, One-dimensional hypersonic phononic crystals, Nano Lett., 10(3):980–984, 2010.
13. G. Chen, Nanoscale Energy Transport and Conversion, Oxford University Press, New York, 2005.
14. O. Delaire, J. Ma, K. Marty, A. F. May, M. A. McGuire, M. Du, D. J. Singh, A. Podlesnyak, G. Ehlers, M. D. Lumsden, and B. C. Sales, Giant anharmonic phonon scattering in PbTe, Nat. Mater., 10(8):614–619, 2011.
15. M. Lax and E. Burstein, Infrared lattice absorption in ionic and homopolar crystals, Phys. Rev., 97(1):39–52, 1955.
16. H. Grahn, H. Maris, and J. Tauc, Picosecond ultrasonics, IEEE J. Quantum Electron., 25(12):2562–2569, 1989.
17. R. J. von Gutfeld and A. H. Nethercot, Heat pulses in quartz and sapphire at low temperatures, Phys. Rev. Lett., 12(23):641–644, 1964.
18. M. Highland, B. C. Gundrum, Y. K. Koh, R. S. Averback, D. G. Cahill, V. C. Elarde, J. J. Coleman, D. A. Walko, and E. C. Landahl, Ballistic-phonon heat conduction at the nanoscale as revealed by time-resolved x-ray diffraction and time-domain thermoreflectance, Phys. Rev. B, 76(7):075337, 2007.
19. Y. K. Koh and D. G. Cahill, Frequency dependence of the thermal conductivity of semiconductor alloys, Phys. Rev. B, 76(7):075207, 2007.
20. M. G. Holland, Analysis of lattice thermal conductivity, Phys. Rev., 132(6):2461–2471, 1963.
21. A. Ward and D. A. Broido, Intrinsic phonon relaxation times from first-principles studies of the thermal conductivities of Si and Ge, Phys. Rev. B, 81(8):085205, 2010.
22. K. Esfarjani, G. Chen, and H. T. Stokes, Heat transport in silicon from first-principles calculations, Phys. Rev. B, 84(8):085204, 2011.
23. J. Shiomi, K. Esfarjani, and G. Chen, Thermal conductivity of half-Heusler compounds from first-principles calculations, Phys. Rev. B, 84(10):104302, 2011.
24. A. J. Minnich, J. A. Johnson, A. J. Schmidt, K. Esfarjani, M. S. Dresselhaus, K. A. Nelson, and G. Chen, A thermal conductivity spectroscopy technique to measure phonon mean free paths, Phys. Rev. Lett., 107:095901, 2011.
25. G. D. Mahan and F. Claro, Nonlocal theory of thermal conductivity, Phys. Rev. B, 38(3):1963–1969, 1988.
26. G. Chen, Nonlocal and nonequilibrium heat conduction in the vicinity of nanoparticles, J. Heat Transfer, 118(3):539–545, 1996.
27. M. E. Siemens, Q. Li, R. Yang, K. A. Nelson, E. H. Anderson, M. M. Murnane, and H. C. Kapteyn, Quasi-ballistic thermal transport from nanoscale interfaces observed using ultrafast coherent soft x-ray beams, Nat. Mater., 9(1):26–30, 2009.
28. J. A. Johnson, A. A. Maznev, J. K. Eliason, K. A. Nelson, A. J. Minnich, G. Chen, J. Cuffe, T. Kehoe, and C. M. S. Torres, Direct measurement of room temperature non-diffusive thermal transport over micron distance in a silicon membrane, Phys. Rev. Lett., 110:025901, 2013.
29. A. Majumdar, Microscale heat conduction in dielectric thin films, J. Heat Transfer, 115(1):7–16, 1993.
30. G. Chen and T. Zeng, Nonequilibrium phonon and electron transport in heterostructures and superlattices, Microscale Thermophys. Eng., 5:71–88, 2001.
31. G. Deutscher, Coherence and single-particle excitations in the high-temperature superconductors, Nature, 397(6718):410–412, 1999.
32. A. Schmidt, M. Chiesa, X. Chen, and G. Chen, An optical pump-probe technique for measuring the thermal conductivity of liquids, Rev. Sci. Instrum., 79(6):064902, 2008.
33. D. G. Cahill, Analysis of heat flow in layered structures for time-domain thermoreflectance, Rev. Sci. Instrum., 75(12):5119–5122, 2004.
34. J. A. Johnson, Phase-controlled, heterodyne laser-induced transient grating measurements of thermal transport, J. Appl. Phys., 111(2):023503-1–023503-7, 2012.
35. J. A. Malen, K. Baheti, T. Tong, Y. Zhao, J. A. Hudgings, and A. Majumdar, Optical measurement of thermal conductivity using fiber aligned frequency domain thermoreflectance, J. Heat Transfer, 133(8):081601–081607, 2011.
36. J. A. Rogers, Y. Yang, and K. A. Nelson, Elastic modulus and in-plane thermal diffusivity measurements in thin polyimide films using symmetry-selective real-time impulsive stimulated thermal scattering, Appl. Phys. A: Mater. Sci. Proc., 58:523–534, 1994.
37. A. J. Minnich, G. Chen, S. Mansoor, and B. S. Yilbas, Quasiballistic heat transfer studied using the frequency-dependent boltzmann transport equation, Phys. Rev. B, 84(23):235207, 2011.
38. J. M. Péraud and N. G. Hadjiconstantinou, Efficient simulation of multidimensional phonon transport using energy-based variance-reduced monte carlo formulations, Phys. Rev. B, 84(20):205331, 2011.
39. A. A. Maznev, J. A. Johnson, and K. A. Nelson, Onset of nondiffusive phonon transport in transient thermal grating decay, Phys. Rev. B, 84(19):195206, 2011.
40. J. A. Johnson, A. Maznev, J. K. Eliason, A. Minnich, K. C. Collins, G. Chen, J. Cuffe, T. Kehoe, C. M. S. Torres, and K. A. Nelson, Experimental evidence of non-diffusive thermal transport in Si and GaAs, In Proc. MRS Spring Meeting, vol. 1347, MRS Online Library, Cambridge, 2011.
41. A. J. Minnich, L. Zheng, Y. Hu, and G. Chen, Thermal conductivity spectroscopy using metallic nanodot arrays, (in preparation), 2012.
42. A. J. Schmidt, X. Chen, and G. Chen, Pulse accumulation, radial heat conduction, and anisotropic thermal conductivity in pump-probe transient thermoreflectance, Rev. Sci. Instrum., 79(11):114902, 2008.
43. A. J. Schmidt, R. Cheaito, and M. Chiesa, A frequency-domain thermoreflectance method for the characterization of thermal properties, Rev. Sci. Instrum., 80(9):094901, 2009.
44. H. Carslaw and J. Jaeger, Conduction of Heat in Solids, 2nd ed., Oxford University Press, Oxford, 1959.
45. A. V. Inyushkin, A. N. Taldenkov, A. M. Gibin, A. V. Gusev, and H. J. Pohl, On the isotope effect in thermal conductivity of silicon, Phys. Status Sol., 1(11):2995–2998, 2004.
46. K. Esfarjani and Stokes, Method to extract anharmonic force constants from first principles calculations, Phys. Rev. B, 77(14):144112, 2008.
47. H. J. Eichler, P. Gunter, and D. W. Pohl, Laser-Induced Dynamic Gratings, Springer Series in Optical Sciences, vol. 50, Springer-Verlag, Berlin, 1986.
48. A. S. Henry and G. Chen, Spectral phonon transport properties of silicon based on molecular dynamics simulations and lattice dynamics, J. Computat. Theor. Nanosci., 5:141–152, 2008.
49. E. R. Dobrovinskaya, L. A. Lytvynov, and V. Pishchik, Sapphire: Materials, Manufacturing, Applications, Springer, April 2009.
50. Callaway, Model for lattice thermal conductivity at low temperatures, Phys. Rev., 113(4):1046–1051, 1959.
51. H. Bialas, O. Weis, and H. Wendel, Dispersion of acoustic phonons in sapphire, Phys. Lett. A, 43(2):97–98, 1973.
52. Z. Wang, J. E. Alaniz, W. Jang, J. E. Garay, and C. Dames, Thermal conductivity of nanocrystalline silicon: Importance of grain size and Frequency-Dependent mean free paths, Nano Lett., 11(6):2206–2213, 2011.