LI, SEVINÇLI, ROCHE, AND CUNIBERTI PHYSICAL REVIEW B 83, 155416 (2011) Schmidt, J. M. Rampnoux, S. Wang, M. Plissonnier, A. Rastelli, S. Dilhaire, and N. Mingo, Nat. Mater. 9, 491 (2010). 6J. C. Charlier, X. Blase, and S. Roche, Rev. Mod. Phys. 79, 677 (2007). 7A. Cresti, N. Nemec, B. Biel, G. Niebler, F. Triozon, G. Cuniberti, and S. Roche, Nano Res. 1, 361 (2008). 8A. A. Balandin, S. Ghosh, W. Bao, I. Calizo, D. Teweldebrhan, F. Miao, and C. N. Lau, Nano Lett. 8, 902 (2008). 9J. H. Seol, I. Jo, A. L. Moore, L. Lindsay, Z. H. Aitken, M. T. Pettes, X. Li, Z. Yao, R. Huang, D. Broido, N. Mingo, R. S. Ruoff, and L. Shi, Science 328, 213 (2010). 10E. Pop, Nano Res. 3, 147 (2010); M.-H. Bae, C.-Y. Ong, D. Estrada, and E. Pop, Nano Lett. 10, 4787 (2010). 11P. W. Anderson, Phys. Rev. 109, 1492 (1958). 12A. Lagendijk, B. van Tiggelen, and D. S. Wiersma, Phys. Today 62, 24 (2009). 13J. Che, T. Ça˘gın, and W. A. Goddard, Nanotechnology 11, 65 (2000). 14R. S. Prasher, X. J. Hu, Y. Chalopin, N. Mingo, K. Lofgreen, S. Volz, F. Cleri, and P. Keblinski, Phys.Rev.Lett.102, 105901 (2009). 15I. Savic, N. Mingo, and D. A. Stewart, Phys.Rev.Lett.101, 165502 (2008). 16H. Sevinçli and G. Cuniberti, Phys. Rev. B 81, 113401 (2010). 17G. Stoltz, N. Mingo, and F. Mauri, Phys.Rev.B80, 113408 (2009). 18N. Mingo, K. Esfarjani, D. A. Broido, and D. A. Stewart, Phys. Rev. B 81, 045408 (2010). 19X.Ni,G.Liang,J.-S.Wang,andB.Li,Appl. Phys. Lett. 95, 192114 (2009). 20D. Mayou, Europhys. Lett. 6, 549 (1988); D. Mayou and S. N. Khanna, J. Phys. I (France) 5, 1199 (1995); S. Roche and D. Mayou, Phys.Rev.Lett.79, 2518 (1997); F. Triozon, J. Vidal, R. Mosseri, and D. Mayou, Phys. Rev. B 65, 220202 (2002). 21S. Roche, Phys. Rev. B 59, 2284 (1999); W. Zhu, Q. W. Shi, X.R.Wang,J.Chen,J.L.Yang,andJ.G.Hou,Phys. Rev. Lett. 102, 056803 (2009). 22S. Roche, J. Jiang, F. Triozon, and R. Saito, Phys.Rev.Lett.95, 076803 (2005). 23H. Ishii, N. Kobayashi, and K. Hirose, Phys. Rev. B 76, 205432 (2007). 24S. Roche and R. Saito, Phys. Rev. Lett. 87, 246803 (2001); F. Triozon, S. Roche, A. Rubio, and D. Mayou, Phys. Rev. B 69, 121410 (2004); S. Latil, S. Roche, D. Mayou, and J. C. Charlier, Phys. Rev. Lett. 92, 256805 (2004); S. Latil, F. Triozon, and S. Roche, ibid. 95, 126802 (2005); Ch. Adessi, S. Roche, and X. Blase, Phys.Rev.B73, 125414 (2006); R. Avriller, S. Latil, F. Triozon, X. Blase, and S. Roche, ibid. 74, 121406 (2006). 25S. Roche, J. Jiang, F. Triozon, and R. Saito, Phys.Rev.B72, 113410 (2005). 26H. Ishii, S. Roche, N. Kobayashi, and K. Hirose, Phys. Rev. Lett. 104, 116801 (2010). 27T. Markussen, R. Rurali, M. Brandbyge, and A.-P. Jauho, Phys. Rev. B 74, 245313 (2006). 28A. Lherbier, M. P. Persson, Y. M. Niquet, F. Triozon, and S. Roche, Phys. Rev. B 77, 085301 (2008); M. P. Persson, A. Lherbier, Y. M. Niquet, F. Triozon, and S. Roche, Nano Lett. 8, 4146 (2008). 29A. Lherbier, B. Biel, Y.-M. Niquet, and S. Roche, Phys. Rev. Lett. 100, 036803 (2008); A. Lherbier, X. Blase, Y.-M. Niquet, F. Triozon, and S. Roche, ibid. 101, 036808 (2008). 30F. Triozon and S. Roche, Eur. Phys. J. B 46, 427 (2005). 155416-8 31W.Li,H.Sevinçli, G. Cuniberti, and S. Roche, Phys. Rev. B 82, 041410 (2010). 32R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957); D. Fisher and P. A. Lee, Phys. Rev. B 23, 6851 (1981). 33A. Alam and A. Mookerjee, Phys. Rev. B 72, 214207 (2005); A. Bodapati, P. K. Schelling, S. R. Phillpot, and P. Keblinski, ibid. 74, 245207 (2006). 34P. B. Allen and J. L. Feldman, Phys. Rev. Lett. 62, 645 (1989); Phys. Rev. B 48, 12581 (1993). 35G. G. Naumis, F. Salazar, and C. Wang, Philos. Mag. 86, 1043 (2006); N. Kondo, T. Yamamoto, and K. Watanabe, Jpn. J. Appl. Phys. 45, L963 (2006); S. Monturet and N. Lorente, Phys. Rev. B 78, 035445 (2008). 36G. P. Srivastava, The Physics of Phonons (Taylor and Francis, New York, 1990). 37P. K. Schelling, S. R. Phillpot, and P. Keblinski, Phys. Rev. B 65, 144306 (2002). 38Y. L. Loh, S. N. Taraskin, and S. R. Elliott, Phys.Rev.E63, 056706 (2001). 39L. G. C. Rego and G. Kirczenow, Phys. Rev. Lett. 81, 232 (1998); N. Mingo, Phys. Rev. B 74, 125402 (2006); N. Mingo and L. Yang, ibid. 68, 245406 (2003). 40A. Özpineci and S. Ciraci, Phys. Rev. B 63, 125415 (2001); T. Yamamoto and K. Watanabe, Phys. Rev. Lett. 96, 255503 (2006). 41R. Haydock, in Solid State Physics, edited by H. Ehrenreich, F. Seitz and D. Turnbull (Academic, New York, 1980), Vol. 35, p. 215. 42Recursion Method and Its Applications, edited by D. G. Petit<strong>for</strong> and D. L. Weaire, Springer Series in Solid State Sciences, Vol. 58 (Springer-Verlag, Berlin, 1985); The Recursion Method: Application to Many-Body Dynamics, editedbyV.S.Viswanath and G. Müller, Lecture Notes in Physics, Vol. 23 (Springer-Verlag, Berlin, 1994). 43T. Hoshi and T. Fujiwara, J. Phys. Soc. Jpn. 72, 2429 (2003); J. Phys. Condens. Matter 18, 10787 (2006). 44C. Lanczos, J. Res. Natl. Bur. Stand. 45, 255 (1950). 45D. J. Lohrmann, L. Resca, G. P. Parravicini, and R. D. Graft, Phys. Rev. B 40, 8404 (1989). 46S. K. Bose, K. Winer, and O. K. Andersen, Phys. Rev. B 37, 6262 (1988); S. K. Bose, S. S. Jaswal, O. K. Andersen, and J. Hafner, ibid. 37, 9955 (1988); S. K. Bose, J. Kudrnovsky, I. I. Mazin, and O. K. Andersen, ibid. 41, 7988 (1990). 47P. M. Lam, W. Bao, and Z. Zheng, Z. Phys. B 59, 63 (1985). 48V. Zólyomi, F. Simon, A. Rusznyak, R. Pfeiffer, H. Peterlik, H. Kuzmany, and J. Kurti, Phys. Rev. B 75, 195419 (2007). 49X. Li, W. Cai, L. Colombo, and R. S. Ruoff, Nano Lett. 9, 4268 (2009). 50P. G. Klemens, Proc. R. Soc. A 208, 108 (1951). 51R. Gillen, M. Mohr, J. Maultzsch, and C. Thomsen, Phys. Rev. B 80, 155418 (2009). 52R. Saito, G. Dresselhaus, M. S. Dresselhaus, Physical Properties of Carbon Nanotubes (Imperial College Press, London, 1998). 53J. Zimmermann, P. Pavone, and G. Cuniberti, Phys. Rev. B 78, 045410 (2008). 54C. T. White and T. N. Todorov, Nature 393, 240 (1998); S. Roche, G. Dresselhaus, M. S. Dresselhaus, and R. Saito, Phys. Rev. B 62, 16092 (2000); D. A. Areshkin, D. Gunlycke, and C. T. White, Nano Lett. 7, 204 (2007); A. Cresti and S. Roche, Phys. Rev. B 79, 233404 (2009); New J. Phys. 11, 09500 (2009).
EFFICIENT LINEAR SCALING METHOD FOR COMPUTING ... PHYSICAL REVIEW B 83, 155416 (2011) 55 I. Savic, D. A. Stewart, and N. Mingo, Phys.Rev.B78, 235434 (2008); D. A. Stewart, I. Savic, and N. Mingo, Nano Lett. 9, 81 (2009); L. Ci, L. Song, C. Jin, D. Jariwala, D. Wu, Y. Li, A. Srivastava, Z. F. Wang, K. Storr, L. Balicas, F. Liu, and P. M. Ajayan, Nat. Mater. 9, 430 (2010). 155416-9 56 T. Markussen, R. Rurali, A. P. Jauho, and M. Brandbyge, Phys. Rev. Lett. 99, 076803 (2007); T. Markussen, A.-P. Jauho, and M. Brandbyge, ibid. 103, 055502 (2009); Phys. Rev. B 79, 035415 (2009); D. Donadio and G. Galli, Phys. Rev. Lett. 102, 195901 (2009).
Change language