Boson peak in confined disordered systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 81, Issue 5, 2010, Pages

  Zorn, Reiner ^a  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77954806503     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.81.054208     Document Type: Article

References (38)

1. Amorphous Solids, in Low-Temperature Properties, edited by, W. A. Phillips, (Springer, Berlin, 1981).
2. R. C. Zeller and R. O. Pohl, Phys. Rev. B 4, 2029 (1971). 10.1103/PhysRevB.4.2029
3. R. H. Stolen, Phys. Chem. Glasses 11, 83 (1970).
4. U. Buchenau, N. Nücker, and A. J. Dianoux, Phys. Rev. Lett. 53, 2316 (1984). 10.1103/PhysRevLett.53.2316
5. A. I. Chumakov, I. Sergueev, U. van Bürck, W. Schirmacher, T. Asthalter, R. Rüffer, O. Leupold, and W. Petry, Phys. Rev. Lett. 92, 245508 (2004). 10.1103/PhysRevLett.92.245508
6. V. G. Karpov, M. I. Klinger, and F. N. Ignatiev, Sov. Phys. JETP 57, 439 (1983).
7. U. Buchenau, Yu. M. Galperin, V. L. Gurevich, D. A. Parshin, M. A. Ramos, and H. R. Schober, Phys. Rev. B 46, 2798 (1992). 10.1103/PhysRevB.46.2798
8. W. Schirmacher and M. Wagener, in Dynamics of Disordered Materials, Springer Proceedings in Physics Vol. 37, edited by, D. Richter, A. J. Dianoux, W. Petry, and, J. Teixeira, (Springer, Heidelberg, 1989), p. 231.
9. S. N. Taraskin, Y. L. Loh, G. Natarajan, and S. R. Elliott, Phys. Rev. Lett. 86, 1255 (2001). 10.1103/PhysRevLett.86.1255 (Pubitemid 32188337)
10. R. Zorn, D. Richter, L. Hartmann, F. Kremer, and B. Frick, J. Phys. IV 10, Pr7-83 (2000). 10.1051/jp4:2000715
11. B. Frick, C. Alba-Simionesco, G. Dosseh, C. Le Quellec, A. Moreno, J. Colmenero, A. Schönhals, R. Zorn, K. Chrissopoulou, S. Anastasiadis, K. Dalnoki-Verres, and A. Higgins, J. Non-Cryst. Solids 351, 2657 (2005). 10.1016/j.jnoncrysol.2005.03.061 (Pubitemid 41252512)
12. T. Asthalter, M. Bauer, U. van Bürck, I. Sergueev, H. Franz, and A. I. Chumakov, Eur. Phys. J. E 12, S9 (2003). 10.1140/epjed/e2003-01-003-7
13. C. Alba-Simionesco, G. Dosseh, E. Dumont, B. Frick, B. Geil, D. Morineau, V. Teboul, and Y. Xia, Eur. Phys. J. E 12, 19 (2003). 10.1140/epje/i2003-10055- 1
14. L.-M. Wang, F. He, and R. Richert, Phys. Rev. Lett. 92, 095701 (2004). 10.1103/PhysRevLett.92.095701
15. R. Zorn, M. Mayorova, D. Richter, and B. Frick, Soft Matter 4, 522 (2008). 10.1039/b713465g (Pubitemid 351304308)
16. W. Schirmacher, G. Diezemann, and C. Ganter, Phys. Rev. Lett. 81, 136 (1998). 10.1103/PhysRevLett.81.136
17. H. R. Schober, J. Phys.: Condens. Matter 16, S2659 (2004). 10.1088/0953-8984/16/27/005
18. A. Tanguy, J. P. Wittmer, F. Léonforte, and J.-L. Barrat, Phys. Rev. B 66, 174205 (2002). 10.1103/PhysRevB.66.174205
19. F. Finkemeier and W. vonNiessen, Phys. Rev. B 63, 235204 (2001). 10.1103/PhysRevB.63.235204
20. F. Léonforte, A. Tanguy, J. P. Wittmer, and J.-L. Barrat, Phys. Rev. Lett. 97, 055501 (2006). 10.1103/PhysRevLett.97.055501 (Pubitemid 44156703)
21. J. K. Christie, S. N. Taraskin, and S. R. Elliott, J. Non-Cryst. Solids 353, 2272 (2007). 10.1016/j.jnoncrysol.2007.02.039 (Pubitemid 46754077)
22. J. K. Christie, S. N. Taraskin, and S. R. Elliott, Phys. Status Solidi C 1, 2904 (2004). 10.1002/pssc.200405362 (Pubitemid 40043699)
23. A particularity of the simple-cubic lattice is that for (more realistic) vectorial displacements the three space directions decouple in harmonic approximation. The Hamiltionan matrix can be decomposed into three independent matrices describing the motions in the Cartesian directions. Therefore, the vectorial treatment of the vibrations would not change the result except for an improvement of the statistics by a factor of three.
24. R. J. Bell, N. F. Bird, and P. Dean, J. Phys. C 1, 299 (1968). 10.1088/0022-3719/1/2/304
25. R. Zorn, M. Mayorova, D. Richter, A. Schönhals, L. Hartmann, F. Kremer, and B. Frick, AIP Conf. Proc. 982, 79 (2008). 10.1063/1.2897907
26. D. Fioretto, U. Buchenau, L. Comez, A. Sokolov, C. Masciovecchio, A. Mermet, G. Ruocco, F. Sette, L. Willner, B. Frick, D. Richter, and L. Verdini, Phys. Rev. E 59, 4470 (1999). 10.1103/PhysRevE.59.4470
27. C. B. Roth and J. R. Dutcher, J. Electroanal. Chem. 584, 13 (2005) 10.1016/j.jelechem.2004.03.003
28. J. A. Forrest and K. Dalnoki-Verres, Adv. Colloid Interface Sci. 94, 167 (2001). 10.1016/S0001-8686(01)00060-4 (Pubitemid 32957522)
29. B. Frick, K. Dalnoki-Verres, J. A. Forrest, J. Dutcher, C. Murray, and A. Higgins, Eur. Phys. J. E 12, S93 (2003). 10.1140/epjed/e2003-01-022-4
30. K. Fukao, S. B. Uno, Y. Miyamoto, Y. Hoshino, and H. Miyaji, J. Non-Cryst. Solids 307-310, 517 (2002). 10.1016/S0022-3093(02)01479-5 (Pubitemid 34862276)
31. R. Inoue, T. Kanaya, K. Nishida, I. Tsukushi, and K. Shibata, Phys. Rev. Lett. 95, 056102 (2005) 10.1103/PhysRevLett.95.056102
32. R. Inoue, T. Kanaya, K. Nishida, I. Tsukushi, and K. Shibata, Phys. Rev. E 74, 021801 (2006). 10.1103/PhysRevE.74.021801 (Pubitemid 44181753)
33. H. R. Schober and C. Oligschleger, Phys. Rev. B 53, 11469 (1996). 10.1103/PhysRevB.53.11469
34. S. N. Taraskin, J. J. Ludlam, G. Natarajan, and S. R. Elliott, Philos. Mag. B 82, 197 (2002). 10.1080/13642810110085163 (Pubitemid 35388462)
35. If k α = 0, the corresponding trigonometric function can only be a sine. With this restriction, the numbering scheme gives L 3 modes as required.
36. R. Zorn, B. Frick, L. Hartmann, F. Kremer, A. Schönhals, and D. Richter, Physica B 350, e1115 (2004). 10.1016/j.physb.2004.03.303 (Pubitemid 41078004)
37. M. Arndt, R. Stannarius, H. Groothues, E. Hempel, and F. Kremer, Phys. Rev. Lett. 79, 2077 (1997). 10.1103/PhysRevLett.79.2077
38. R. Zorn, L. Hartmann, B. Frick, D. Richter, and F. Kremer, J. Non-Cryst. Solids 307-310, 547 (2002). 10.1016/S0022-3093(02)01485-0 (Pubitemid 34862279)