Anharmonicity, vibrational instability, and the Boson peak in glasses

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 9, 2003, Pages

  Gurevich, V L ^a   Parshin, D A ^b   Schober, H R ^c  

^a IOFFE INSTITUTE   (Russian Federation)

^b PETER THE GREAT ST PETERSBURG POLYTECHNIC UNIVERSITY   (Russian Federation)

^c FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

GLASS;

ARTICLE; DENSITY; ELASTICITY; ELEMENTARY PARTICLE; MOLECULAR INTERACTION; SPECTRUM; VIBRATION;

EID: 0037367446     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.67.094203     Document Type: Article

References (74)

1. Amorphous Solids. Low Temperature Properties, edited by W. A. Phillips (Springer-Verlag, Berlin, 1981).
2. N. Ahmad, K. W. Hutt, and W. A. Phillips, J. Phys. C 19, 3765 (1986).
3. V. K. Malinovsky, V. N. Novikov, and A. P. Sokolov, Phys. Lett. A 153, 63 (1991).
4. T. Pang, Phys. Rev. B 45, 2490 (1992).
5. S. R. Elliott, Europhys. Lett. 19, 201 (1992).
6. C. Masciovecchio, V. Mazzacurati, G. Monaco, G. Ruocco, T. Scopigno, F. Sette, P. Benassi, A. Consulo, A. Fontana, M. Kirsch, A. Mermet, M. Montagna, F. Rossi, M. Sampoli, G. Signorelli, and R. Verbeni, Philos. Mag. B 79, 2013 (1999).
7. S. N. Taraskin and S. R. Elliott, Phys. Rev. B 61, 12 017 (2000).
8. J. A. Freitas, Jr., B. V. Shanabrook, and U. Strom, J. Non-Cryst. Solids 77/78, 1125 (1985).
9. M. T. Dove, M. J. Harris, A. C. Hannon, J. M. Parker, I. P. Swainson, and M. Gambhir, Phys. Rev. Lett. 78, 1070 (1997).
10. V. N. Sagaev, E. N. Smelyanskaya, V. G. Plotnichenko, V. V. Koltashev, A. A. Volkov, and P. Pernice, J. Non-Cryst. Solids 248, 141 (1999).
11. W. Schirmacher, G. Diezemann, and C. Ganter, Phys. Rev. Lett. 81, 136 (1998).
12. S. N. Taraskin, Y. L. Loh, G. Natarajan, and S. R. Elliott, Phys. Rev. Lett. 86, 1255 (2001).
13. J. W. Kantelhardt, S. Russ, and A. Bunde, Phys. Rev. B 63, 064302 (2001).
14. T. S. Grigera, V. Martin-Mayor, G. Parisi, and P. Verrocchio, J. Phys.: Condens. Matter 14, 2167 (2002).
15. V. G. Karpov and D. A. Parshin, JETP Lett. 38, 648 (1983);
16. V. G. KarpovD. A. ParshinSov. Phys. JETP 61, 1308 (1985).
17. M. A. Krivoglaz, Sov. Phys. JETP 61, 1284 (1985).
18. U. Buchenau, N. Nücker, and A. J. Dianoux, Phys. Rev. Lett. 53, 2316 (1984).
19. A. A. Maradudin, E. W. Montroll, G. H. Weiss, and I. P. Ipatova, Solid State Physics, 2nd ed. (Academic Press, New York, 1971), Suppl. 3.
20. P. H. Dederichs and R. Zeller, in Point Defects in Metals II, Vol. 87 of Springer Tracts in Modern Physics (Springer-Verlag, Berlin, 1980).
21. U. Buchenau, Yu. M. Galperin, V. L. Gurevich, D. A. Parshin, M. A. Ramos, and H. R. Schober, Phys. Rev. B 46, 2798 (1992).
22. C. C. Yu and A. J. Leggett, Comments Condens. Matter Phys. 14, 231 (1988);
23. A. J. Leggett, Physica B 169, 322 (1991).
24. E. R. Grannan, M. Randeria, and J. P. Sethna, Phys. Rev. B 41, 7799 (1990).
25. M. A. Ramos, S. Vieira, F. J. Bermejo, J. Dawidowski, H. E. Fischer, H. Schober, M. A. González, C. K. Loong, and D. L. Price, Phys. Rev. Lett. 78, 82 (1997).
26. R. M. Lynden-Bell and K. H. Michel, Rev. Mod. Phys. 66, 721 (1994).
27. The Plastically Crystalline State (Orientationally-Disordered Crystals), edited by J. N. Sherwood (Wiley, New York, 1978).
28. P. Lunkenheimer, R. Brand, R. Wehn, and A. Loidl, cond-mat/0210067 (unpublished).
29. R. Biswas, A. M. Bouchard, W. A. Kamitakahara, G. S. Grest, and C. M. Soukoulis, Phys. Rev. Lett. 60, 2280 (1988).
30. J. Fabian and P. B. Allen, Phys. Rev. Lett. 79, 1885 (1997);
31. Phys. Rev. Lett.J. Fabian and P. B. Allen, 82, 1478 (1999).
32. J. L. Feldman, C. S. Hellberg, G. Viliani, W. Garber, and F. M. Tangerman, Philos. Mag. 82, 133 (2002).
33. P. H. Dederichs, C. Lehmann, H. R. Schober, A. Scholz, and R. Zeller, J. Nucl. Mater. 69/70, 176 (1978).
34. A. V. Granato, Phys. Rev. Lett. 68, 974 (1992).
35. B. B. Laird and H. R. Schober, Phys. Rev. Lett. 66, 636 (1991);
36. H. R. Schober and B. B. Laird, Phys. Rev. B 44, 6746 (1991).
37. W. Jin, P. Vashishta, R. K. Kalia, and J. P. Rino, Phys. Rev. B 48, 9359 (1993).
38. C. Oligschleger and H. R. Schober, Physica A 201, 391 (1993).
39. J. Hafner and M. Krajc̆í, J. Phys.: Condens. Matter 6, 4631 (1994).
40. P. Ballone and S. Rubini, Phys. Rev. B 51, 14 962 (1995).
41. L. D. V. Ee, B. J. Thijsse, and J. Sietsma, J. Non-Cryst. Solids 205-207, 641 (1996).
42. M. Cho, G. R. Fleming, S. Saito, I. Ohmine, and R. M. Stratt, J. Chem. Phys. 100, 6672 (1994).
43. J. Hafner and M. Krajc̆í, J. Phys.: Condens. Matter 5, 2489 (1993).
44. Ten-Ming Wu, Wen-Jong Ma, and S. L. Chang, J. Chem. Phys. 113, 274 (2000).
45. H. R. Schober and C. Oligschleger, Phys. Rev. B 53, 11 469 (1996).
46. V. A. Luchnikov, N. N. Medvedev, Yu. I. Naberukhin, and H. R. Schober, Phys. Rev. B 62, 3181 (2000).
47. S.-P. Chen, T. Egami, and V. Vitek, Phys. Rev. B 37, 2440 (1988).
48. H. R. Schober, C. Oligschleger, and B. B. Laird, J. Non-Cryst. Solids 156-158, 965 (1993).
49. C. Oligschleger, Phys. Rev. B 60, 3182 (1999).
50. V. G. Karpov, M. I. Klinger, and F. N. Ignatiev, Sov. Phys. JETP 57, 439 (1983).
51. M. A. Il’in, V. G. Karpov, and D. A. Parshin, Sov. Phys. JETP 65, 165 (1987).
52. D. A. Parshin, Sov. Phys. Solid State 36, 991 (1994).
53. U. Buchenau, Y. M. Galperin, V. L. Gurevich, and H. R. Schober, Phys. Rev. B 43, 5039 (1991).
54. D. A. Parshin, X. Liu, O. Brand, and H. v. Löhneysen, Z. Phys. B: Condens. Matter 93, 57 (1993).
55. G. D’Angelo, G. Carini, G. Tripodo, A. Bartolotta, G. Di Marco, and G. Salvato, Philos. Mag. B 82, 331 (2002).
56. M. A. Ramos and U. Buchenau, Phys. Rev. B 55, 5749 (1997).
57. V. L. Gurevich, D. A. Parshin, J. Pelous, and H. R. Schober, Phys. Rev. B 48, 16 318 (1993).
58. R. Kühn and U. Horstmann, Phys. Rev. Lett. 78, 4067 (1997).
59. S. Kojima and M. Kodama, Physica B 263, 336 (1999).
60. V. K. Malinovsky and A. P. Sokolov, Solid State Commun. 57, 757 (1986);
61. V. K. Malinovsky, V. N. Novikov, P. P. Parshin, A. P. Sokolov, and M. G. Zemlyanov, Europhys. Lett. 11, 43 (1990).
62. A. Wischnewski, U. Buchenau, A. J. Dianoux, W. A. Kamitakahara, and J. L. Zarestky, Philos. Mag. B 77, 579 (1998).
63. C. Oligschleger and J. C. Schön, J. Phys.: Condens. Matter 9, 1049 (1997).
64. S. V. Meshkov, Phys. Rev. B 55, 12 113 (1997).
65. Y. Inamura, M. Arai, O. Yamamuro, A. Inaba, N. Kitamura, T. Otomo, T. Matsuo, S. M. Bennington, and A. C. Hannon, Physica B 263-264, 299 (1999).
66. R. L. Cappelletti, M. Cobb, D. A. Drabold, and W. A. Kamitakahara, Phys. Rev. B 52, 9133 (1995).
67. J. M. Carpenter and D. L. Price, Phys. Rev. Lett. 54, 441 (1985);
68. D. L. Price and J. M. Carpenter, J. Non-Cryst. Solids 92, 153 (1987).
69. W. A. Phillips, U. Buchenau, N. Nücker, A.-J. Dianoux, and W. Petry, Phys. Rev. Lett. 63, 2381 (1989).
70. F. J. Bermejo, A. Criado, J. L. Martínez, E. Enciso, and B. Fåk, Physica A 201, 286 (1993).
71. N. Ahmad, Phys. Rev. B 48, 13 512 (1993).
72. J.-B. Suck, J. Non-Cryst. Solids 293-295, 370 (2001).
73. S. Chandrasekhar, Rev. Mod. Phys. 15, 1 (1943).
74. W. Feller, An Introduction to Probability Theory and its Applications (Wiley, New York, 1966), Vol. 2.