Fourier analysis applied to cyclotron resonance in metals having anisotropic fermi surfaces

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 5, 1999, Pages 3740-3768

  Olszewski, S ^a   Rolinski T ^a   Kwiatkowski, T ^a  

^a INSTITUTE OF PHYSICAL CHEMISTRY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001353595     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.3740     Document Type: Article

References (83)

1. J. Callaway, Quantum Theory of the Solid State (Academic, New York, 1974), Part B.
2. I. M. Cydilkovski, Electrons and Holes in Semiconductors (Nauka, Moscow, 1972).
3. D. Schoenberg, Magnetic Oscillations in Metals (Cambridge University Press, Cambridge, England, 1984).
4. C. Kittel, Quantum Theory of Solids (Wiley, New York, 1963).
5. F. Bassani and G. Pastori-Parravicini, Electronic States and Optical Transitions in Solids (Pergamon, Oxford, 1975).
6. R. Dupree and B W. Holland, Phys. Status Solidi24, 275 (1967).
7. A. Baldareschi and F. Bassani, Phys. Rev. Lett.19, 66 (1967).
8. M. Kataoka and T. Goto, J. Phys. Soc. Jpn.62, 4352 (1993).
9. J. G. Mavroides, in Optical Properties of Solids, edited by F. Abelès (North-Holland, Amsterdam, 1972).
10. L. M. Roth, B. Lax, and S. Zwerdling, Phys. Rev.114, 90 (1959).
11. B. Lax and J G. Mavroides, in Solid State Physics, edited by F. Seitz and D. Turnbull (Academic, New York, 1960), Vol. 11, p. 261.
12. A. V. Tkach, Phys. Rev. B51, 11 103 (1995).
13. S. Dukan and Z. Tesanovic, Phys. Rev. Lett.74, 2311 (1995).
14. N. A. Zimbovska, Zh. Eksp. Teor. Fiz.107, 1672 (1995).
15. J. M. Blanter and A V. Pancula, Fiz. Tverd. Tela (Leningrad)32, 2999 (1990).
16. V. G. Peshansky and R J. Lopes, Fiz. Nizk. Temp.17, 269 (1991).
17. E. Bruno, B. Ginatempo, E S. Ginliano, A V. Ruban, and Y K. Velikov, Phys. Rep.249, 354 (1994).
18. K. Miyake, Physica B186-188, 115 (1993).
19. L. W. Kebede, J. Phys.: Condens. Matter7, 2265 (1995).
20. M. Springford, Physica B171, 151 (1991).
21. S. K. Lyo, Phys. Rev. B51, 11 160 (1995).
22. W. E. Lawrence, J. Phys.: Condens. Matter5, 679 (1993).
23. V. Polyanovsky, Phys. Rev. B47, 1985 (1993).
24. I. M. Lifshitz, M. J. Azbel, and M. J. Kaganov, Electron Theory of Metals (Nauka, Moscow, 1971) (in Russian).
25. S. J. Blundell, A. Ardavan, and J. Singleton, Phys. Rev. B55, R6129 (1997).
26. R. L. Willett, R R. Ruel, K W. West, and L N. Pfeiffer, Phys. Rev. Lett.71, 3846 (1993).
27. L. Landau, Z. Phys.64, 629 (1930).
28. J. C. Slater, Quantum Theory of Molecules and Solids (McGraw-Hill, New York, 1967), Vol. 3.
29. R. B. Dingle, Proc. R. Soc. London, Ser. A211, 500 (1952).
30. L. Onsager, Philos. Mag.43, 1006 (1952).
31. Z. Su, H. Pang, Y. Xie, and K. Chou, Phys. Lett. A123, 249 (1987).
32. R. Peierls, Z. Phys.80, 763 (1933);
33. Z. Phys.R. Peierls81, 186 (1933).
34. P. J. Harper, Proc. Phys. Soc. London, Sect. A68, 879 (1955).
35. J. M. Luttinger, Phys. Rev.84, 814 (1951);
36. Phys. Rev.J M. Luttinger102, 130 (1956).
37. A. D. Brailsford, Proc. Phys. Soc. London, Sect. A70, 275 (1957).
38. W. Kohn, Proc. Phys. Soc. London, Sect. A72, 1147 (1958).
39. W. Kohn, Phys. Rev.115, 1460 (1959).
40. G. H. Wannier, Rev. Mod. Phys.34, 645 (1962).
41. E. I. Blount, Phys. Rev.126, 1636 (1962).
42. E. Brown, Phys. Rev.133, A1038 (1964).
43. R. G. Chambers, Proc. Phys. Soc. London, Sect. A89, 695 (1966).
44. L. M. Roth, Phys. Rev.145, 434 (1966).
45. F. A. Butler and E. Brown, Phys. Rev.166, 630 (1968).
46. H. J. Fischbeck, Phys. Status Solidi38, 11 (1970).
47. J. Zak, Comments Solid State Phys.2, 209 (1970).
48. A. Rauch, G H. Wannier, and G. Obermair, Phys. Status Solidi B63, 215 (1974).
49. G. H. Wannier, Phys. Status Solidi B70, 727 (1975).
50. G. H. Wannier, Phys. Status Solidi B100, 163 (1980).
51. L. Benger and G. Berymann, in The Hall Effect and its Applications, edited by C. L. Chien and C. R. Westgate (Plenum Press, New York, 1980).
52. B. Shapiro and E. Abrahams, Phys. Rev. B24, 4025 (1981).
53. A. Kalio, J. Kinaret, and M. Puoskari, in Linear Response and the Quantization of the Hall Conductivity, Condensed Matter Theories Vol. 2, edited by P. Vashishta, R. K. Kalia, and R. F. Biskop (Plenum, New York, 1987), p. 327.
54. D. Poilblanc, G. Montambaux, M. Héritier, and P. Lederer, Phys. Rev. Lett.58, 270 (1987).
55. M. Y. Azbel and P M. Chaikin, Phys. Rev. Lett.59, 582 (1987).
56. Q. Niu and D J. Thouless, Phys. Rev. B35, 2188 (1987).
57. S. Badjou and P N. Argyres, Phys. Rev. B35, 5964 (1987).
58. E. Fredkin and M. Kohmoto, Phys. Rev. B35, 6017 (1987).
59. P. Santhanam, Phys. Rev. B35, 8737 (1987).
60. A. Fert and P M. Levy, Phys. Rev. B36, 1907 (1987).
61. A. Aleksandrov and H. Capellmann, Z. Phys. B83, 237 (1991).
62. H. Suhl, J. Phys. (Paris)50, 2613 (1989).
63. S. I. Tomonaga, Quantum Mechanics (North-Holland, Amsterdam, 1962), Vol. 1.
64. P. Jordan, Anschauliche Quantentheorie (Springer, Berlin, 1936).
65. M. Born, Vorlesungen über Atommechanik (Springer, Berlin, 1925).
66. R. L. Liboff, Found. Phys.5, 271 (1975).
67. H. Jones, The Theory of Brillouin Zones and Electron States in Crystals, 2nd ed. (North-Holland, Amsterdam, 1975).
68. J. R. Reitz, in Solid State Physics edited by F. Seitz and D. Turnbull (Academic, New York, 1955), Vol. 1.
69. A. J. Lichtenberg and M A. Lieberman, Regular and Stochastic Motion (Springer, New York, 1983).
70. L. Kiepert, Differential und Integral Rechnung, 12th ed. (Helwing, Hannover, 1912), Vol. 1.
71. W. Dittrich and M. Reuter, Classical and Quantum Dynamics (Springer, Berlin, 1992).
72. E. Lafon and C. Lin, Phys. Rev.152, 579 (1966).
73. O. K. Andersen and O. Jepsen, Phys. Rev. Lett.53, 2571 (1984).
74. J. Friedel, in Physics of Metals. I. Electrons, edited by J. M. Ziman (Cambridge University Press, Cambridge, England, 1969).
75. S. Hill, J. Singleton, F L. Pratt, M. Doporto, W. Hayes, T J B. M. Janssen, J A A. J. Perenboom, M. Kurmoo, and P. Day, Synth. Met.55-57, 2566 (1993).
76. S. Hill, A. Wittlin, J. van Bentum, J. Singleton, W. Hayes, J A A. J. Perenboom, M. Kurmoo, and P. Day, Synth. Met.70, 821 (1995).
77. T. Osada, A. Kawasumi, S. Kagoshima, N. Miura, and G. Saito, Phys. Rev. Lett.66, 1525 (1991).
78. T. Osada, R. Yagi, A. Kawasumi, S. Kagoshima, N. Miura, M. Oshima, and G. Saito, Phys. Rev. B41, 5428 (1991).
79. T. Osada, S. Kagoshima, and N. Miura, Phys. Rev. B46, 1812 (1992).
80. J. Singleton, F L. Pratt, M. Doparto, T J B. M. Janssen, M. Kurmoo, J A A. J. Perenboom, W. Hayes, and P. Day, Phys. Rev. Lett.68, 2500 (1992).
81. S. J. Blundell and J. Singleton, Phys. Rev. B53, 5609 (1996).
82. N. F. Ong, Phys. Rev. B43, 193 (1991).
83. I. S. Gradshteyn and I M. Ryzhik, Tables of Integrals, Series and Products, 4th ed. (Academic, New York, 1965).