Propagation of acoustic phonon solitons in nonmetallic crystals

Physical Review B - Condensed Matter and Materials Physics

Volumn 84, Issue 2, 2011, Pages

  Maris, H J ^a   Tamura, S ^b  

^a BROWN UNIVERSITY   (United States)

^b HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961174090     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.024301     Document Type: Article

References (29)

1. H.-Y. Hao and H. J. Maris, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.64.064302 64, 064302 (2001).
2. O. L. Muskens and J. I. Dijkhuis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.285504 89, 285504 (2002).
3. O. L. Muskens, A. V. Akimov, and J. I. Dijkhuis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.035503 92, 035503 (2004).
4. W. Singhsomroje and H. J. Maris, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.69.174303 69, 174303 (2004);
5. W. Singhsomroje and H. J. Maris, Phys. Status Solidi B PSSBBD 0370-1972 10.1002/pssb.200405334 241, 3463 (2004).
6. O. L. Muskens and J. I. Dijkhuis, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.70.104301 70, 104301 (2004).
7. E. Peronne and B. Perrin, Ultrasonics ULTRA3 0041-624X 10.1016/j.ultras.2006.05.072 44, e1203 Suppl. 1 (2006). (Pubitemid 44969731)
8. T. Berstermann, A. V. Scherbakov, A. V. Akimov, D. R. Yakovlev, N. A. Gippius, B. A. Glavin, J. Bloch, and M. Bayer, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.80.075301 80, 075301 (2009).
9. P. J. S. van Capel and J. I. Dijkhuis, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.144106 81, 144106 (2010).
10. N. J. Zabusky and M. D. Kruskal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.15.240 15, 240 (1965).
11. D. J. Korteweg and G. De Vries, Philos. Mag. 39, 422 (1895).
12. G. L. Lamb Jr., Elements of Soliton Theory, (Wiley, New York, 1983).
13. A. A. Maradudin and A. E. Fein, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.128.2589 128, 2589 (1962).
14. A. Berke, A. P. Mayer, and R. K. Wehner, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(85)90933-0 54, 395 (1985). (Pubitemid 15515427)
15. A. Berke, A. P. Mayer, and R. K. Wehner, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/21/12/014 21, 2305 (1988).
16. Elastic constants of MgO were taken from E. H. Bogardus, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1714520 36, 2504 (1965).
17. For sapphire, we use the second-order elastic constants reported by J. B. Wachtman, W. E. Tefft, D. G. Lam, and R. P. Stinchfield, J. Res. Natl. Bur. Stand., Sect. A 64, 213 (1960);
18. The third-order elastic constants were measured by J. H. Gieske and G. R. Barsch, Phys. Status Solidi PHSSAK 0370-1972 10.1002/pssb.19680290113 29, 121 (1968).
19. P. G. Klemens, Proc. Phys. Soc. London, Sect. A PPSAAM 0370-1298 10.1088/0370-1298/68/12/303 68, 1113 (1955).
20. S. Tamura, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.27.858 27, 858 (1983).
21. S. Tamura, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.30.849 30, 849 (1984).
22. C. Herring, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.95.954 95, 954 (1954).
23. S. Simons, Proc. Cambridge Philos. Soc. PCPSA4 0305-0041 10.1017/S0305004100032771 53, 702 (1957).
24. A. Ward and D. A. Broido, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.085205 81, 085205 (2010).
25. B. C. Daly, K. Wang, Y. Wang, and D. G. Cahill, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.80.174112 80, 174112 (2009).
26. Handbook of Mathematical Functions, edited by, M. Abramowitz, and, I. A. Stegun, (National Bureau of Standards, Washington, 1965) p. 260.
27. H.-Y. Hao and H. J. Maris, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.63.224301 63, 224301 (2001).
28. G. B. Whitham, Linear and Nonlinear Waves (Wiley-Interscience, New York, 1974).
29. C.-K. Sun, J.-C. Liang, and X.-Y. Liu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.179 84, 179 (2000).