The Atomistic Green's Function Method: An Efficient Simulation Approach for Nanoscale Phonon Transport

References

• L. G. C. Rego and G. Kirczenow , Quantized Thermal Conductance of Dieletric Quantum Wires , Phys. Rev. Lett. , vol. 81 , p. 232 , 1998 .
   Web of Science ®Google Scholar
• A. Ozpineci and S. Ciraci , Quantum Effects of Thermal Conductance through Atomic Chains , Phys. Rev. B , vol. 63 , p. 125415 , 2001 .
   Google Scholar
• P. Hyldgaard , Resonant Thermal Transport in Semiconductor Barrier Structures , Phys. Rev. B , vol. 69 , p. 193305 , 2004 .
   Google Scholar
• S. Pettersson and G. Mahan , Theory of the Thermal Boundary Resistance between Dissimilar Lattices , Phys. Review B , vol. 42 , p. 7386 , 1990 .
   Web of Science ®Google Scholar
• 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 .
   PubMed Web of Science ®Google Scholar
• 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 .
   Google Scholar
• D. Santamore and M. Cross , Effect of Surface Roughness on the Universal Thermal Conductance , Phys. Rev. B , vol. 63 , p. 184306 , 2001 .
   Web of Science ®Google Scholar
• 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 .
   PubMedGoogle Scholar
• 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 .
   Google Scholar
• K. Schwab , E. Henriksen , J. Worlock , and M. Roukes , Measurement of the Quantum of Thermal Conductance, Nature , vol. 404, p. 974, 2000.
   PubMed Web of Science ®Google Scholar
• 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 .
   Google Scholar
• 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 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• D. Poulikakos , S. Arcidiacono , and S. Maruyama , Molecular Dynamics Simulation in Nanoscale Heat Transfer: A Review , Microscale Thermophys. Eng. , vol. 7 , p. 181 , 2003 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• D. Angelescu , M. Cross , and M. Roukes , Heat Transport in Mesoscopic Systems , Superlattices Microstruct. , vol. 23 , p. 673 , 1998 .
   Web of Science ®Google Scholar
• W. Little , The Transport of Heat between Dissimilar Solids at Low Temperature , Can. J. Phys. , vol. 37 , p. 334 , 1959 .
   Web of Science ®Google Scholar
• E. Swartz and R. Pohl , Thermal Boundary Resistance , Rev. Mod. Phys. , vol. 61 , p. 605 , 1989 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• D. Ferry and S. Goodnick , Transport in Nanostructures , pp. 156 – 180 , Cambridge University Press , New York , 1997 .
   Google Scholar
• S. Datta , Electronic Transport in Mesoscopic Systems , pp. 117 – 163 , Cambridge University Press , New York , 1995 .
   Google Scholar
• S. Datta , Quantum Transport: Atom to Transistor , pp. 223 – 233 , Cambridge University Press , New York , 2005 .
   Google Scholar
• W. Zhang , N. Mingo , and T. Fisher , Simulation of Phonon Interfacial Transport in Strained Silicon-Germanium Heterostructures , J. Heat Transfer , in press , 2007 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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)] , Phys. Rev. B , vol. 70 , p. 249901 , 2004 .
   Google Scholar
• N. Ashcroft and N. Mermin , Solid State Physics , p. 439 , Saunders College Publishers , Philadelphia , 1976 .
   Google Scholar
• A. Buldum , S. Ciraci , and C Fong , Quantum Heat Transfer through an Atomic Wire , J. Phys. Condensed Matters , vol. 12 , p. 3349 , 2000 .
   Google Scholar
• F. Guinea , C. Tejedor , F. Flores , and E. Louis , Effective Two-Dimensional Hamiltonian at Surfaces , Phys. Rev. B , vol. 28 , p. 4397 , 1983 .
   Web of Science ®Google Scholar
• G. Golub and C. V. Loan , Matrix Computations, , 3rd ed. , p. 152 , The John Hopkins University Press , Baltimore , MD , 1996 .
   Google Scholar
• M. Lannoo and P. Friedel , Atomic and Electronic Structure of Surfaces , pp. 42 – 48 , Springer-Verlag , Berlin , 1991 .
   Google Scholar
• C. Kittel , Introduction to Solid State Physics, , 8th ed. , p. 108 , Wiley , New York , 2005 .
   Google Scholar