The atomistic Green's function method: An efficient simulation approach for nanoscale phonon transport

Numerical Heat Transfer, Part B: Fundamentals

Volumn 51, Issue 4, 2007, Pages 333-349

  Zhang, W ^a   Fisher, T S ^a   Mingo, N ^b  

^a PURDUE UNIVERSITY   (United States)

^b NASA Ames Center for Nanotechnology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; GREEN'S FUNCTION; LIGHT TRANSMISSION; TRANSPORT PROPERTIES;

MULTISCALE TRANSPORT PROBLEMS; PHONON TRANSMISSION FUNCTION;

PHONONS;

EID: 33847629740     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/10407790601144755     Document Type: Article

References (34)

1. L. G. C. Rego and G. Kirczenow, Quantized Thermal Conductance of Dieletric Quantum Wires, Phys. Rev. Lett., vol. 81, p. 232, 1998.
2. A. Ozpineci and S. Ciraci, Quantum Effects of Thermal Conductance through Atomic Chains, Phys. Rev. B, vol. 63, p. 125415, 2001.
3. P. Hyldgaard, Resonant Thermal Transport in Semiconductor Barrier Structures, Phys. Rev. B, vol. 69, p. 193305, 2004.
4. S. Pettersson and G. Mahan, Theory of the Thermal Boundary Resistance between Dissimilar Lattices, Phys. Review B, vol. 42, p. 7386, 1990.
5. R. Stoner and H. Maris, Kapitza Conductance and Heat Flow between Solids at Temperature from 50 to 300 K, Phys. Rev. B, vol. 48, p. 16373, 1993.
6. M. Cross and R. Lifshitz, Elastic Wave Transimission at an Abrupt Junction in a Thin Plate with Application to Heat Transport and Vibrations in Mesoscopic Systems, Phys. Rev. B, vol. 64, p. 85324, 2001.
7. D. Santamore and M. Cross, Effect of Surface Roughness on the Universal Thermal Conductance, Phys. Rev. B, vol. 63, p. 184306, 2001.
8. D. Santamore and M. Cross, Effect of Phonon Scattering by Surface Roughness on the Universal Thermal Conductance, Phys. Rev. Lett., vol. 87, p. 115502, 2001.
9. D. Santamore and M. Cross, Surface Scattering Analysis of Phonon Transport in the Quantum Limit Using an Elastic Model, Phys. Rev. B, vol. 66, p. 144302, 2002.
10. K. Schwab, E. Henriksen, J. Worlock, and M. Roukes, Measurement of the Quantum of Thermal Conductance, Nature, vol. 404, p. 974, 2000.
11. W.-X. Li, K.-Q. Chen, W. Duan, J. Wu, and B.-L. Gu, Phonon Transport and Thermal Conductivity in Dielectric Quantum Wire, J. Phys. D: Appl. Phys., vol. 36, p. 3027, 2003.
12. W.-Q. Huang, K.-Q. Chen, Z. Shuai, L. Wang, and W. Hu, Discontinuity Effect on the Phonon Transmission and Thermal Conductance in a Dielectric Quantum Waveguide, Phys. Lett. A, vol. 336, p. 245, 2005.
13. K.-Q. Chen, W.-X. Li, W. Duan, Z. Shuai, and B.-L. Gu, Effect of Defects on the Thermal Conductivity in a Nanowire, Phys. Rev. B, vol. 72, p. 45422, 2005.
14. D. Poulikakos, S. Arcidiacono, and S. Maruyama, Molecular Dynamics Simulation in Nanoscale Heat Transfer: A Review, Microscale Thermophys. Eng., vol. 7, p. 181, 2003.
15. Z. Zhong, X. Wang, and J. Xu, Equilibrium Molecular Dynamics Study of Phonon Thermal Transport in Nanomaterials, Numer. Heat Transfer B, vol. 46, pp. 429-446, 2004.
16. S. Mazumdar and A. Majumdar, Monte Carlo Study of Phonon Transport in Solid Thin Films including Dispersion and Polarization, J. Heat Transfer, vol. 123, p. 749, 2001.
17. S. Srinivasan, R. Miller, and E. Marotta, Parallel Computation of the Boltzmann Transport Equation for Microscale Heat Transfer in Multilayered Thin Films, Numer. Heat Transfer B, vol. 46, pp. 31-58, 2004.
18. D. Angelescu, M. Cross, and M. Roukes, Heat Transport in Mesoscopic Systems, Superlattices Microstruct., vol. 23, p. 673, 1998.
19. W. Little, The Transport of Heat between Dissimilar Solids at Low Temperature, Can. J. Phys., vol. 37, p. 334, 1959.
20. E. Swartz and R. Pohl, Thermal Boundary Resistance, Rev. Mod Phys., vol. 61, p. 605, 1989.
21. R. Stevens, A. Smith, and P. Norris, Measurement of Thermal Boundary Conductance of a Series of Metal-Dielectric Interfaces by the Transient Thermoreflectance Technique, J. Heat Transfer, vol. 127, p. 315, 2005.
22. D. Ferry and S. Goodnick, Transport in Nanostructures, pp. 156-180, Cambridge University Press, New York, 1997.
23. S. Datta, Electronic Transport in Mesoscopic Systems, pp. 117-163, Cambridge University Press, New York, 1995.
24. S. Datta, Quantum Transport: Atom to Transistor, pp. 223-233, Cambridge University Press, New York, 2005.
25. W. Zhang, N. Mingo, and T. Fisher, Simulation of Phonon Interfacial Transport in Strained Silicon-Germanium Heterostructures, J. Heat Transfer, in press, 2007.
26. N. Mingo and L. Yang, Phonon Transport in Nanowires Coated with an Amorphous Material: An Atomistic Green's Function Approach, Phys. Rev. B, vol. 68, p. 245406,2003.
27. N. Mingo and L. Yang, Erratum: Phonon Transport in Nanowires Coated with an Amorphous Material: An Atomistic Green's Function Approach [Phys. Rev. B 68, 245406 (2003)],
28. Phys. Rev. B, vol. 70, p. 249901, 2004.
29. N. Ashcroft and N. Mermin, Solid State Physics, p. 439, Saunders College Publishers, Philadelphia, 1976.
30. A. Buldum, S. Ciraci, and C Fong, Quantum Heat Transfer through an Atomic Wire, J. Phys. Condensed Matters, vol. 12, p. 3349, 2000.
31. F. Guinea, C. Tejedor, F. Flores, and E. Louis, Effective Two-Dimensional Hamiltonian at Surfaces, Phys. Rev. B, vol. 28, p. 4397, 1983.
32. G. Golub and C. V. Loan, Matrix Computations, 3rd ed., p. 152, The John Hopkins University Press, Baltimore, MD, 1996.
33. M. Lannoo and P. Friedel, Atomic and Electronic Structure of Surfaces, pp. 42-48, Springer-Verlag, Berlin, 1991.
34. C. Kittel, Introduction to Solid State Physics, 8th ed., p. 108, Wiley, New York, 2005.