Onset of the nonlinear dielectric response of glasses in the two-level system model

European Physical Journal B

Volumn 32, Issue 1, 2003, Pages 13-26

  Le Cochec, J ^a   Ladieu, F ^a  

^a CE Saclay   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AMORPHOUS MATERIALS; DIELECTRIC PROPERTIES; ELECTRIC INSULATORS; LOW TEMPERATURE EFFECTS; NONLINEAR SYSTEMS; OSCILLATIONS; QUANTUM THEORY;

AMORPHOUS INSULATORS; DIELECTRIC RESPONSE; QUANTUM APPROACH;

GLASS;

EID: 0038427210     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjb/e2003-00069-7     Document Type: Article

References (45)

1. R. Zeller, R. Pohl, Phys. Rev. B 4, 2029 (1971)
2. P.W. Anderson, B.I. Halperin, C.M. Varma, Philos. Mag. 25, 1 (1972)
3. W.A. Phillips, J. Low Temp. Phys. 7, 351 (1972)
4. J. Joffrin, A. Levelut, J. Phys. France 36, 811 (1976)
5. H. Caruzzo, E.R. Grannan, C.C. Yu, Phys. Rev. B 50, 6685 (1994)
6. G. Enss, S. Hunklinger, Phys. Rev. Lett. 79, 2831 (1997)
7. E. Thompson, G. Lawes, J.M. Parpia, R.O. Pohl, Phys. Rev. Lett. 84, 4601 (2000)
8. A.L. Burin, Y. Kagan, I.Y. Polishchuk, Phys. Rev. Lett. 86, 5616 (2001)
9. S. Rogge, D. Natelson, B. Tigner, D.D. Osheroff, Phys. Rev. B 55, 11256 (1997)
10. G. Frossati, R. Maynard, R. Rammal, D. Thoulouze, J. Phys. France 38, L153 (1977)
11. J.T. Stockburger, M. Grifoni, M. Sassetti, Phys. Rev. B 51, 2835 (1995)
12. This contrasts with the dissipative part χ″ of the susceptibility where the adiabatic approximation seems more efficient, which is not surprising since it is well established that both parts of χ are not dominated by the same kind of TLS's
13. B.D. Laikhtman, Phys. Rev. B 31, 490 (1985)
14. Yu.M. Galperin, V.L. Gurevich, D.A. Parshin, Phys. Rev. B 37, 10339 (1988)
15. W.A. Phillips, Rep. Prog. Phys. 50, 1657 (1987)
16. A. Abragam, The Principles of Nuclear Magnetism (Oxford University Press, London, 1961)
17. 1 is considered as time independent, by simplicity
18. 1 is indeed time-independent
19. P.L. Scott, C.D. Jeffries, Phys. Rev. 127, 32 (1962)
20. C.C. Yu, A.J. Leggett, Comments Cond. Mat. Phys. 14, 231 (1988)
21. P. Neu, D.R. Reichman, R.J. Silbey, Phys. Rev. B 56, 5250 (1997)
22. Y.-K. Yu, Phys. Rev. Lett. 85, 4199 (2000)
23. J.L. Black, B.I. Halperin, Phys. Rev. B 16, 2879 (1977)
24. A.L. Burin, Y. Kagan, L.A. Maksimov, I.Y. Polishchuk, Phys. Rev. Lett. 80, 2945 (1998)
25. 1 terms
26. 1,2
27. 2 are taken in physically reasonable intervals, such as the ones used in Figures 1-2
28. C. Cohen-Tannoudji, J. Dupont-Roc, G. Grynberg, Atom-Photon Interactions (John Wiley and Sons, New York, 1992)
29. L. Piche, J. Phys. Colloq. France 39, C6-1545 (1978)
30. L. Bernard, L. Piche, G. Schumacher, J. Joffrin, J. Low Temp. Phys. 45, 411 (1979)
31. J.E. Graebner, B. Golding, Phys. Rev. B 19, 964 (1979)
32. G. Frossati, J. le G. Gilchrist, W. Meyer, J. Phys. C 10, L515 (1977)
33. A.L. Burin, J. Low Temp. Phys. 100, 309 (1995)
34. In any case, only the fraction of this depression (the one corresponding to the time scale needed for the χ′ measurements) would take place since it was derived for non equilibrium effects
35. A.J. Leggett, S. Chakravarty, A.T. Dorsey, M.P.A. Fisher, A. Garg, W. Zwerger, Rev. Mod. Phys. 59, 1 (1987)
36. R.G. DeVoe, R.G. Brewer, Phys. Rev. Lett. 50, 1269 (1983)
37. A.L. Burin, Yu. Kagan, JETP 79, 347 (1994)
38. 2, i.e. to equation (19)
39. 1
40. E. Geva, R. Kosloff, J. Chem. Phys. 102, 8541 (1995)
41. K. Wòdkiewicz, J.H. Eberly, Phys. Rev. A 32, 992 (1985)
42. M. Devaud, J.-Y. Prieur, Europhys. Lett. 6, 523 (1988)
43. A. Wurger, From coherent tunneling to relaxation, dissipative quantum dynamics of interacting defects (Springer, Berlin, 1997)
44. M. von Schickfus, S. Hunklinger, Phys. Lett. A 64, 144 (1977)
45. S. Rogge, D. Natelson, D.D. Osheroff, J. Low Temp. Phys. 106, 717 (1997)