Nonlinear nanoscale localization of magnetic excitations in atomic lattices

Physics Report

Volumn 314, Issue 3, 1999, Pages 147-236

  Lai, R ^a   Sievers, A J ^a  

^a Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering   (United States)

Author keywords

46.10.+z; 63.20.Pw; 63.20.Ry; 75.10.Hk; 75.30. m; 75.30.Ds; Antiferromagnets; Discrete lattices; Intrinsic localized spin wave modes; Nanoscale; Nonlinear dynamics

Indexed keywords

EID: 0000981817     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-1573(98)00090-8     Document Type: Review

References (116)

1. G. Leibfried, W. Ludwig, in: F. Seitz, D. Turnbull (Eds.), Solid State Physics, vol. 12, Academic Press, New York, 1961.
2. A.A. Maradudin, E.W. Montroll, G.H. Weiss, I.P. Ipatova, Theory of Lattice Dynamics in the Harmonic Approximation, vol. 3, 2nd ed., Academic Press, New York, 1971.
3. M. Sparks, Ferromagnetic Relaxation Theory, McGraw-Hill, New York, 1964, p. 182.
4. F. Keffer, in: H.P.J. Wijn (Ed.), Handbuch der Physik, vol. XVIII/2, Springer, Berlin, 1966.
5. White R.M. Quantum Theory of Magnetism. 1987;Springer, Berlin.
6. Ashcroft N.W., Mermin N.D. Solid State Physics. 1976;Saunders College, Philadelphia.
7. H. Bilz, D. Strauch, R.K. Wehner, Vibrational infrared and Raman spectra of non-metals, in: L. Genzel (Ed.), Handbuch der Physik, vol. XXV, Pt. 2d, Springer, Berlin, 1984.
8. P.M. Chaikin, T.C. Lubensky, Principles of Condensed Matter Physics, Ch. 10, Cambridge University Press, Cambridge, 1995.
9. Krumhansl J.A., Schrieffer J.R. Phys. Rev. B. 11:1975;3535.
10. Lamb G.L. Elements of Soliton Theory. 1980;Wiley, New York.
11. Toda M. Theory of Nonlinear Lattices. 1989;Springer, New York.
12. Su W.P., Schrieffer J.R., Heeger A.J. Phys. Rev. Lett. 42:1979;1698.
13. Davydov A.S. Solitons in Molecular Systems. 1985;Reidel, Boston.
14. Kosevich A.M., Ivanov B.A., Kovalev A.S. Phys. Rep. 194:1990;117.
15. Mikeska H.-J., Steiner M. Adv. Phys. 40:1991;191.
16. Whitham G.B. Linear and Nonlinear Waves. 1974;Wiley, New York.
17. Newell A. Solitons in Mathematics and Physics. 1985;SIAM, Philadelphia.
18. A.R. Bishop, T. Schneider, in: M. Cardona, P. Fulde, H.-J. Queisser (Eds.), Springer Series in Solid-State Sciences, Springer, Berlin, 1978.
19. A.R. Bishop, D.K. Campbell, P. Kumar, S.E. Trullinger, in: M. Cardona, P. Fulde, K.v. Klitzing, H.-J. Queisser (Eds.), Springer Series in Solid-State Sciences, vol. 69, Springer, Berlin, 1987.
20. H.J. Mikeska, J. Phys. C 11 (1978) L29.
21. Kjems J.K., Steiner M. Phys. Rev. Lett. 41:1978;1137.
22. Oguchi T., Ishikawa T. J. Phys. Soc. Jpn. 34:1973;1486.
23. Gochev I.G. Sov. Phys. JETP. 34:1972;392.
24. Infeld E., Rowlands G. Nonlinear Waves Solitons and Chaos. 1990;Cambridge University Press, Cambridge.
25. Ablowitz M.J., Ladik J.F. J. Math. Phys. 17:1976;1011.
26. Dolgov A.S. Sov. Phys. Solid State. 28:1986;907.
27. Sievers A.J., Takeno S. Phys. Rev. Lett. 61:1988;970.
28. Page J.B. Phys. Rev. B. 41:1990;7835.
29. Takeno S., Sievers A.J. Solid State Commun. 67:1988;1023.
30. Kiselev S.A., Bickham S.R., Sievers A.J. Comments Cond. Mater. Phys. 17:1995;135.
31. A.J. Sievers, J.B. Page, in: G.K. Horton, A.A. Maradudin (Eds.), Dynamical Properties of Solids, vol. 7, North-Holland, Amsterdam, 1995, p. 137.
32. Aubry S. Physica D. 103:1997;201.
33. S.R. Bickham, S.A. Kiselev, A.J. Sievers, in: B.D. Bartolo (Ed.), Spectroscopy and Dynamics of Collective Excitations in Solids, vol. 356, Plenum Press, New York, 1997, p. 247.
34. Flach S., Willis C.R. Phys. Rep. 295:1998;181.
35. R. Rajaraman, Solitons and Instantons, North-Holland, Amsterdam, 1982, p. 47.
36. Burlakov V.M., Kiselev S.A., Pyrkov V.N. Phys. Rev. B. 42:1990;4921.
37. Bonart D., Mayer A.P., Schroder U. Phys. Rev. Lett. 75:1995;870.
38. Kiselev S.A., Sievers A.J. Phys. Rev. B. 55:1997;5755.
39. Flach S., Kladko K., MacKay R.S. Phys. Rev. Lett. 78:1997;1207.
40. S. Takeno, K. Kawasaki, Phys. Rev. B 45 (1992) R5083.
41. R.F. Wallis, D.L. Mills, A.D. Boardman, Phys. Rev. B 52 (1995) R3828.
42. Flach S., Kladko K. Phys. Rev. B. 53:1996;11531.
43. Ting J.L., Peyrard M. Phys. Rev. E. 53:1996;1011.
44. Braun O.M., Dauxois T., Peyrard M. Phys. Rev. B. 56:1997;4987.
45. Weber R. Phys. Rev. Lett. 21:1968;1260.
46. Weber R. Z. Phys. 223:1969;299.
47. Cowley R.A., Buyers W.J.L. Rev. Mod. Phys. 44:1972;406.
48. Donnelly D. Phys. Rev. B. 52:1995;1042.
49. Oseroff A., Pershan P.S. Phys. Rev. Lett. 21:1968;1593.
50. Johnson L.F., Dietz R.E., Guggenheim H.J. Phys. Rev. B. 17:1966;13.
51. Buyers W.J.L., Cowley R.A., Holden P.M., Stevenson R.W.H. J. Appl. Phys. 39:1968;1118.
52. K.C. Johnson, Ph.D. Thesis, Cornell University, 1972.
53. Bickham S.R., Kiselev S.A., Sievers A.J. Phys. Rev. B. 47:1993;14206.
54. Kiselev S.A., Bickham S.R., Sievers A.J. Phys. Rev. B. 48:1993;13508.
55. Kiselev S.A., Bickham S.R., Sievers A.J. Phys. Rev. B. 50:1994;9135.
56. Kiselev S.A., Sievers A.J. Phys. Rev. B. 55:1997;5755.
57. R. Lai, A.J. Sievers, Phys. Rev. B 55 (1997) R11937.
58. Lai R., Kiselev S.A., Sievers A.J. Phys. Rev. B. 56:1997;5345.
59. Rakhmanova S., Mills D.L. Phys. Rev. B. 54:1996;9225.
60. Schmid B., Dorner B., Petitgrand D., Regnault L.P., Steiner M. Z. Phys. B. 95:1994;13.
61. S. Rakhmanova, D.L. Mills, Phys. Rev. B 58 (1998) 11458.
62. R. Lai, S.A. Kiselev, A.J. Sievers, Phys. Rev. B 54 (1996) R12665.
63. A.S. Barker, A.J. Sievers, Rev. Mod. Phys. 47 (1975) S1.
64. Kiselev S.A., Bickham S.R., Sievers A.J. Phys. Rev. B. 50:1994;9135.
65. Kiselev S.A., Lai R., Sievers A.J. Phys. Rev. B. 57:1998;3402.
66. Boyd J.P. Nonlinearity. 3:1990;177.
67. Martin J.L., Aubry S. Nonlinearity. 9:1996;1501.
68. Tsurui A. Prog. Theoret. Phys. 48:1972;1196.
69. Kivshar Y.S., Peyrard M. Phys. Rev. A. 46:1992;3198.
70. Kivshar Y.S., Salerno M. Phys. Rev. E. 49:1994;3543.
71. Flytzanis N., Pnevmatikos S., Remoissenet M. J. Phys. C. 18:1985;4603.
72. Sandusky K.W., Page J.B. Phys. Rev. B. 50:1994;866.
73. Bilbault J.M., Marquie P. Phys. Rev. B. 53:1996;5403.
74. Burlakov V.M., Kiselev S.A. Sov. Phys. JETP. 72:1991;854.
75. Dauxois T., Peyrard M. Phys. Rev. Lett. 70:1993;3935.
76. Takeno S., Kawasaki K. J. Phys. Soc. Jpn. 60:1991;1881.
77. Huang G., Xu Z., Xu W. J. Phys. Soc. Jpn. 62:1993;3231.
78. Chubykalo O.A. Phys. Lett. A. 189:1994;403.
79. Zhang W.M., Feng D.H., Gilmore R. Rev. Mod. Phys. 62:1991;867.
80. K. Yosida, Theory of Magnetism, Springer, New York, 1996, p. 34.
81. Sandusky K.W., Page J.B., Schmidt K.E. Phys. Rev. B. 46:1992;6161.
82. Bickham S.R., Sievers A.J., Takeno S. Phys. Rev. B. 45:1992;10344.
83. Cai D., Bishop A.R., Gronbech-Jensen N. Phys. Rev. Lett. 72:1994;591.
84. Kivshar Y.S., Campbell D.K. Phys. Rev. E. 48:1993;3077.
85. A.H. Morrish, The Physical Principles of Magnetism, Wiley, New York, 1965, p. 623.
86. I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series and Products, Academic Press, New York, 1980, p. 1039.
87. Segur H., Kruskal M.D. Phys. Rev. Lett. 58:1987;747.
88. Leung K.M., Hone D.W., Mills D.L., Riseborough P.S., Trullinger S.E. Phys. Rev. B. 21:1980;4017.
89. Benjamin T.B., Feir J.E. J. Fluid Mech. 27:1967;417.
90. Taniuti T., Washimi H. Phys. Rev. Lett. 21:1968;209.
91. A. Hasegawa, Optical Solitons in Fibers, Springer, New York, 1989.
92. Marquie P., Bilbault J.M., Remoissenet M. Phys. Rev. E. 49:1994;829.
93. Tai K., Tomita A., Jewell J.L., Hasegawa A. Appl. Phys. Lett. 49:1986;236.
94. Daumont I., Dauxois T., Peyrard M. Nonlinearity. 10:1997;617.
95. Kivshar Y.S. Phys. Rev. E. 48:1993;4132.
96. Burlakov V.M., Darmanyan S.A., Pyrkov V.N. Phys. Rev. B. 54:1996;3257.
97. Infeld E. Phys. Rev. Lett. 47:1981;717.
98. Tsironis G.P., Aubry S. Phys. Rev. Lett. 77:1996;5225.
99. Rössler T., Page J.B. Phys. Rev. Lett. 78:1997;1287.
100. Kotthaus J.P., Jaccarino V. Phys. Rev. Lett. 28:1972;1649.
101. Sanders R.W., Belanger R.M., Motokawa M., Jaccarino V., Rezende S.M. Phys. Rev. B. 23:1981;1190.
102. Lai R., Sievers A.J. Phys. Rev. B. 57:1998;3433.
103. Brown D.W., Bernstein L.J., Lindenberg K. Phys. Rev. E. 54:1996;3352.
104. A.N. Slavin, B.A. Kalinikos, N.G. Kovshikov, in: P.E. Wigen (Ed.), Nonlinear phenomena and chaos in magnetic materials, World Scientific, Singapore, 1994, p. 209.
105. Ohishi J., Kubota M., Kawasaki K., Takeno S. Phys. Rev. B. 55:1997;8812.
106. Lai R., Sievers A.J. Phys. Rev. Lett. 81:1998;1937.
107. Birgeneau R.J., Yelon W.B., Cohen E., Makovsky J. Phys. Rev. B. 5:1972;2607.
108. Shi J., Yamazaki H., Mino M. J. Phys. Soc. Jpn. 57:1988;3580.
109. Chikamatsu M., Tanaka M., Yamazaki H. J. Phys. Soc. Jpn. 50:1981;2876.
110. Takeno S., Peryard M. Physica D. 92:1996;140.
111. Takeno S., Peyrard M. Phys. Rev. E. 55:1997;1922.
112. D. Bonart, J.B. Page, Phys. Rev. Lett. (1998), submitted.
113. Floria L.M., Marin J.L., Martinez P.J., Falo F., Aubry S. Europhys. Lett. 36:1996;539.
114. Scott A.C. Physica D. 78:1994;194.
115. Wang W.Z., Gammel J.T., Bishop A.R., Salkola M.I. Phys. Rev. Lett. 76:1996;3598.
116. Lai R., Sievers A.J. J. Appl. Phys. 81:1997;3972.