Classical percolation threshold and resistance versus temperature behaviour of RuO2-glass films

Physica B: Condensed Matter

Volumn 240, Issue 3, 1997, Pages 226-241

  Kusy, Andrzej ^a  

^a RZESZOW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Landauer B ttiker formula; Metal insulator nano composites; Metal insulator transition; One electron localization; Percolation model; RuO2 glass films; Segregation coefficient

Indexed keywords

BOROSILICATE GLASS; COMPUTER SIMULATION; ELECTRIC CONDUCTIVITY; ELECTRIC RESISTANCE; ELECTRONS; GREEN'S FUNCTION; MATHEMATICAL MODELS; NANOSTRUCTURED MATERIALS; QUANTUM THEORY; RUTHENIUM COMPOUNDS; TEMPERATURE; THICK FILMS;

ELECTRON-ELECTRON INTERACTION; HOPPING CONDUCTION; INELASTIC SCATTERING; LANDAUER-BUTTIKER FORMULA; PERCOLATION MODEL; QUANTUM PERCOLATION; TEMPERATURE COEFFICIENT OF RESISTANCE;

PERCOLATION (SOLID STATE);

EID: 0031549339     PISSN: 09214526     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0921-4526(97)00426-2     Document Type: Article

References (70)

1. R.W. Vest, Purdue Research Foundation, Final Technical Report, Advanced Research Project Agency, Order no 1642, 1975 (unpublished).
2. M. Prudenziati, Alta Freq. 46, (1976) 287; G.E. Pike, C.H. Seager, J. Appl. Phys. 48 (1977) 5152; A. Kusy, Thin Solid Films 43 (1977) 243; O.Abe, Y. Taketa, M. Haradome, Active and Passive Electronic Comp. 13 (1988) 67; N.C. Halder, Electrocomponent. Sci. Technol. 11 (1983) 21; A. Kusy, E. Listkiewicz, Solid State Electronics 31 (1988) 821.
3. M. Prudenziati, Alta Freq. 46, (1976) 287; G.E. Pike, C.H. Seager, J. Appl. Phys. 48 (1977) 5152; A. Kusy, Thin Solid Films 43 (1977) 243; O.Abe, Y. Taketa, M. Haradome, Active and Passive Electronic Comp. 13 (1988) 67; N.C. Halder, Electrocomponent. Sci. Technol. 11 (1983) 21; A. Kusy, E. Listkiewicz, Solid State Electronics 31 (1988) 821.
4. M. Prudenziati, Alta Freq. 46, (1976) 287; G.E. Pike, C.H. Seager, J. Appl. Phys. 48 (1977) 5152; A. Kusy, Thin Solid Films 43 (1977) 243; O.Abe, Y. Taketa, M. Haradome, Active and Passive Electronic Comp. 13 (1988) 67; N.C. Halder, Electrocomponent. Sci. Technol. 11 (1983) 21; A. Kusy, E. Listkiewicz, Solid State Electronics 31 (1988) 821.
5. M. Prudenziati, Alta Freq. 46, (1976) 287; G.E. Pike, C.H. Seager, J. Appl. Phys. 48 (1977) 5152; A. Kusy, Thin Solid Films 43 (1977) 243; O.Abe, Y. Taketa, M. Haradome, Active and Passive Electronic Comp. 13 (1988) 67; N.C. Halder, Electrocomponent. Sci. Technol. 11 (1983) 21; A. Kusy, E. Listkiewicz, Solid State Electronics 31 (1988) 821.
6. M. Prudenziati, Alta Freq. 46, (1976) 287; G.E. Pike, C.H. Seager, J. Appl. Phys. 48 (1977) 5152; A. Kusy, Thin Solid Films 43 (1977) 243; O.Abe, Y. Taketa, M. Haradome, Active and Passive Electronic Comp. 13 (1988) 67; N.C. Halder, Electrocomponent. Sci. Technol. 11 (1983) 21; A. Kusy, E. Listkiewicz, Solid State Electronics 31 (1988) 821.
7. M. Prudenziati, Alta Freq. 46, (1976) 287; G.E. Pike, C.H. Seager, J. Appl. Phys. 48 (1977) 5152; A. Kusy, Thin Solid Films 43 (1977) 243; O.Abe, Y. Taketa, M. Haradome, Active and Passive Electronic Comp. 13 (1988) 67; N.C. Halder, Electrocomponent. Sci. Technol. 11 (1983) 21; A. Kusy, E. Listkiewicz, Solid State Electronics 31 (1988) 821.
8. W.D. Ryden, A.W. Lawson, C.C. Sartain, Phys. Rev. B 1 (1970) 1494.
9. P.F. Carcia, A.Suna, W.D. Childers, J. Appl. Phys. 54 (1983) 6002.
10. A. Szpytma, A. Kusy, Thin Solid Films 121 (1984) 263.
11. E. Listkiewicz, A. Kusy, Thin Solid Films 130 (1985) 1.
12. A. Kusy, J. Appl. Phys. 62, (1987) 1324.
13. E. Listkiewicz, Ph.D. Thesis, Warsaw University of Technology, 1990; E. Listkiewicz, M. Knott, A. Kusy, Proc. 11th Polish Conf. on Circuits Theory and Electronic Networks, Rytro 1988, p.337 (in Polish).
14. E. Listkiewicz, Ph.D. Thesis, Warsaw University of Technology, 1990; E. Listkiewicz, M. Knott, A. Kusy, Proc. 11th Polish Conf. on Circuits Theory and Electronic Networks, Rytro 1988, p.337 (in Polish).
15. K. Bobran, A. Kusy, J.Phys.: Condens. Matter 3 (1991) 7015.
16. K. Bobran, A. Kusy, A.W. Stadler, G. Wilczyński, Int. J. Electronics 78 (1995) 113.
17. B. Abeles, H.L. Pinch, J.I. Gittleman, Phys. Rev. Lett. 35 (1975) 247; B. Abeles, P. Sheng, M.D. Coutts, Y. Arie, Adv. Phys. 24 (1975) 407; O. Entin-Wohlman, Y. Gefen, Y. Shapira, J. Phys. C 16 (1983) 1161; S.P. McAlister, A.D. Inglis, P.M. Kayll, Phys. Rev. B 31 (1985) 5113.
18. B. Abeles, H.L. Pinch, J.I. Gittleman, Phys. Rev. Lett. 35 (1975) 247; B. Abeles, P. Sheng, M.D. Coutts, Y. Arie, Adv. Phys. 24 (1975) 407; O. Entin-Wohlman, Y. Gefen, Y. Shapira, J. Phys. C 16 (1983) 1161; S.P. McAlister, A.D. Inglis, P.M. Kayll, Phys. Rev. B 31 (1985) 5113.
19. B. Abeles, H.L. Pinch, J.I. Gittleman, Phys. Rev. Lett. 35 (1975) 247; B. Abeles, P. Sheng, M.D. Coutts, Y. Arie, Adv. Phys. 24 (1975) 407; O. Entin-Wohlman, Y. Gefen, Y. Shapira, J. Phys. C 16 (1983) 1161; S.P. McAlister, A.D. Inglis, P.M. Kayll, Phys. Rev. B 31 (1985) 5113.
20. B. Abeles, H.L. Pinch, J.I. Gittleman, Phys. Rev. Lett. 35 (1975) 247; B. Abeles, P. Sheng, M.D. Coutts, Y. Arie, Adv. Phys. 24 (1975) 407; O. Entin-Wohlman, Y. Gefen, Y. Shapira, J. Phys. C 16 (1983) 1161; S.P. McAlister, A.D. Inglis, P.M. Kayll, Phys. Rev. B 31 (1985) 5113.
21. M. Zhou, P. Sheng, L. Chen, B. Abeles, Phil. Mag. 65 (1992) 867; A. Kolek, J. Phys.: Condens. Matter 6 (1994) 469.
22. M. Zhou, P. Sheng, L. Chen, B. Abeles, Phil. Mag. 65 (1992) 867; A. Kolek, J. Phys.: Condens. Matter 6 (1994) 469.
23. A. Kusy, A.W. Stadler, M. Mleczko, G. Wilczyński, Proc. MATEL'95 Conf. on New Materials and Technology in Electrical Engineering (in Polish), Łódź-Dobieszów, June 1995, p.71.
24. A. Kusy, A. Kolek, Physica A 157 (1989) 130; A. Kolek, A. Kusy, Phys. Rev. B 43 (1991) 11274.
25. A. Kusy, A. Kolek, Physica A 157 (1989) 130; A. Kolek, A. Kusy, Phys. Rev. B 43 (1991) 11274.
26. H. Scher, R. Zallen, J. Chem. Phys. 53 (1970) 3759; R. Zallen, The Physics of Amorphous Solids, Wiley-Inter-science, New York, 1983.
27. H. Scher, R. Zallen, J. Chem. Phys. 53 (1970) 3759; R. Zallen, The Physics of Amorphous Solids, Wiley-Inter-science, New York, 1983.
28. K.S. Rails, R.A. Buhrman, Phys. Rev. Lett. 60 (1988) 2434; K.S. Rails, R.A. Buhrman, R.L.Tibero, Appl. Phys. Lett. 55 (1989) 2459; K.S. Rall, D.C. Rhalph, R.A. Buhrman, Phys. Rev. B 40 (1989) 11561; P.A.M. Holweg, J.A. Kokkedee, J. Caro, A.H. Verbruggen, S. Radelaar, A.G.M. Jansen, P. Wyder, Phys. Rev. Lett. 67 (1991) 2549.
29. K.S. Rails, R.A. Buhrman, Phys. Rev. Lett. 60 (1988) 2434; K.S. Rails, R.A. Buhrman, R.L.Tibero, Appl. Phys. Lett. 55 (1989) 2459; K.S. Rall, D.C. Rhalph, R.A. Buhrman, Phys. Rev. B 40 (1989) 11561; P.A.M. Holweg, J.A. Kokkedee, J. Caro, A.H. Verbruggen, S. Radelaar, A.G.M. Jansen, P. Wyder, Phys. Rev. Lett. 67 (1991) 2549.
30. K.S. Rails, R.A. Buhrman, Phys. Rev. Lett. 60 (1988) 2434; K.S. Rails, R.A. Buhrman, R.L.Tibero, Appl. Phys. Lett. 55 (1989) 2459; K.S. Rall, D.C. Rhalph, R.A. Buhrman, Phys. Rev. B 40 (1989) 11561; P.A.M. Holweg, J.A. Kokkedee, J. Caro, A.H. Verbruggen, S. Radelaar, A.G.M. Jansen, P. Wyder, Phys. Rev. Lett. 67 (1991) 2549.
31. K.S. Rails, R.A. Buhrman, Phys. Rev. Lett. 60 (1988) 2434; K.S. Rails, R.A. Buhrman, R.L.Tibero, Appl. Phys. Lett. 55 (1989) 2459; K.S. Rall, D.C. Rhalph, R.A. Buhrman, Phys. Rev. B 40 (1989) 11561; P.A.M. Holweg, J.A. Kokkedee, J. Caro, A.H. Verbruggen, S. Radelaar, A.G.M. Jansen, P. Wyder, Phys. Rev. Lett. 67 (1991) 2549.
32. P.A.M. Holweg, J. Caro, A.H. Verbruggen, S. Radelaar, Phys. Rev. B45 (1992) 9311.
33. J.H. Mooij, Phys. Stat. Sol. (a) 17 (1973) 521.
34. Y. Imry, Phys. Rev. Lett. 44 (1980) 469; Y. Imry, J. Appl. 52 (1981) 1817.
35. Y. Imry, Phys. Rev. Lett. 44 (1980) 469; Y. Imry, J. Appl. 52 (1981) 1817.
36. O. Cohen, Z. Ovadyahu, M. Rokni, Phys. Rev. Lett. 69 (1992) 3555; O. Cohen, Ovadyahu, Phys. Rev. B 50 (1994) 10442; C.C. Tsuei, Phys. Rev. Lett. 57 (1986) 1943; C.C. Tsuei, in: T. Ando. H. Fukuyama (Eds.), Anderson Localization, Springer, New York, 1988, p. 143.
37. O. Cohen, Z. Ovadyahu, M. Rokni, Phys. Rev. Lett. 69 (1992) 3555; O. Cohen, Ovadyahu, Phys. Rev. B 50 (1994) 10442; C.C. Tsuei, Phys. Rev. Lett. 57 (1986) 1943; C.C. Tsuei, in: T. Ando. H. Fukuyama (Eds.), Anderson Localization, Springer, New York, 1988, p. 143.
38. O. Cohen, Z. Ovadyahu, M. Rokni, Phys. Rev. Lett. 69 (1992) 3555; O. Cohen, Ovadyahu, Phys. Rev. B 50 (1994) 10442; C.C. Tsuei, Phys. Rev. Lett. 57 (1986) 1943; C.C. Tsuei, in: T. Ando. H. Fukuyama (Eds.), Anderson Localization, Springer, New York, 1988, p. 143.
39. O. Cohen, Z. Ovadyahu, M. Rokni, Phys. Rev. Lett. 69 (1992) 3555; O. Cohen, Ovadyahu, Phys. Rev. B 50 (1994) 10442; C.C. Tsuei, Phys. Rev. Lett. 57 (1986) 1943; C.C. Tsuei, in: T. Ando. H. Fukuyama (Eds.), Anderson Localization, Springer, New York, 1988, p. 143.
40. D. Stauffer, A. Aharony, Introduction to Percolation Theory, Taylor & Francis, London, 1992.
41. W.T. Elam, A.R. Kerstein, J.J. Rehr, Phys. Rev. Lett. 52, (1984) 1516.
42. M.A. Kastner, Rev. Mod. Phys. 64 (1992) 849; M.A. Kastner, Physics Today 46 (1993) 24.
43. M.A. Kastner, Rev. Mod. Phys. 64 (1992) 849; M.A. Kastner, Physics Today 46 (1993) 24.
44. O. Faran, Z. Ovadyahu, Phys. Rev. B 38 (1988) 5457.
45. Z. Ovadyahu, J. Phys. C 19 (1986) 5187.
46. R.L. Rosenbaum, M. Slutzky, A. Möbius, D.S. McLachlan, J. Phys.: Condens. Matter 6, (1994) 7977.
47. P. Sheng, Z.Q. Zhang, J. Phys.: Condens. Matter 3, (1991) 4257; Z.Q. Zhang, P. Sheng, Phys. Rev. B 44 (1991) 3304.
48. P. Sheng, Z.Q. Zhang, J. Phys.: Condens. Matter 3, (1991) 4257; Z.Q. Zhang, P. Sheng, Phys. Rev. B 44 (1991) 3304.
49. A. Kusy, R. Sikora, A.W. Stadler, Physica A 211 (1994) 381; A.W. Stadler, A. Kusy, R. Sikora, J. Phys.: Condens. Matter 8 (1996) 2981; A. Kusy, A.W. Stadler, G. Haldas, R. Sikora, 4th Int. Conf. on Electrical Transport and Optical Properties of Inhomogeneous Media, Moscow, St. Petersburg, 23-30 July 1996, Physica A 241 (1997) 403.
50. A. Kusy, R. Sikora, A.W. Stadler, Physica A 211 (1994) 381; A.W. Stadler, A. Kusy, R. Sikora, J. Phys.: Condens. Matter 8 (1996) 2981; A. Kusy, A.W. Stadler, G. Haldas, R. Sikora, 4th Int. Conf. on Electrical Transport and Optical Properties of Inhomogeneous Media, Moscow, St. Petersburg, 23-30 July 1996, Physica A 241 (1997) 403.
51. A. Kusy, R. Sikora, A.W. Stadler, Physica A 211 (1994) 381; A.W. Stadler, A. Kusy, R. Sikora, J. Phys.: Condens. Matter 8 (1996) 2981; A. Kusy, A.W. Stadler, G. Haldas, R. Sikora, 4th Int. Conf. on Electrical Transport and Optical Properties of Inhomogeneous Media, Moscow, St. Petersburg, 23-30 July 1996, Physica A 241 (1997) 403.
52. M. Büttiker, Y. Imry, R. Landauer, S.Pinhas, Phys. Rev. B 31 (1985) 6207.
53. M.J. McLennan, Y. Lee, S. Datta, Phys. Rev. B 43 (1991) 13846.
54. C.M. Soukoulis, E.N. Economu, G. Grest, Phys. Rev. B 36 (1987) 8649; C.M. Soukoulis, Q. Li, G.S. Grest, Phys. Rev. B 45 (1992) 7742.
55. C.M. Soukoulis, E.N. Economu, G. Grest, Phys. Rev. B 36 (1987) 8649; C.M. Soukoulis, Q. Li, G.S. Grest, Phys. Rev. B 45 (1992) 7742.
56. A. MacKinnon, B. Kramer, Z. Phys. B 53 (1983) 1.
57. E. Abrahams, P.W. Anderson, D.C. Licciardello, T.V. Ramakrishnan, Phys. Rev. Lett. 42 (1979) 673.
58. S. Washburn, in: B. Kramer (Ed.), Quantum Conf. in Mesoscopic Systems, Plenum Press, New York, 1991, p. 341.
59. P.A. Lee, T.V. Ramakrishnan, Rev. Mod. Phys. 57 (1985) 287.
60. B. Shapiro, in: G. Deutscher, R. Zallen, J. Adler (Eds.), Percolation Structures and Processes Ann. Israel Phys. Soc. 5 (1983) 367.
61. A.L. Efros, B.L. Shklovski, Phys. Stat. Sol. B 76 (1976) 475.
62. Y. Gefen, D.J. Thouless, Y. Imry, Phys. Rev. B 28 (1983) 6677.
63. D. Belitz, T.R. Kirkpatrik, Rev. Mod. Phys. 66 (1994) 261.
64. A.K. Raychaudhuri, Phys. Rev. B 44 (1991) 8572.
65. K.P. Rajeev, A.K. Raychaudhuri, Phys. Rev. B. 46 (1992) 1309.
66. J.J. Lin, C.Y. Wu, Phys. Rev. B 48 (1993) 5021.
67. B.L. Altshuler, A.G. Aronov, Pis'ma Zh. Eksp. Teor. Fiz. 37 (1983) 349; transl. Sov. Phys. JETP 37 (1983) 410.
68. B.L. Altshuler, A.G. Aronov, Pis'ma Zh. Eksp. Teor. Fiz. 37 (1983) 349; transl. Sov. Phys. JETP 37 (1983) 410.
69. B.L. Altshuler, A.G. Aronov, in: A.L. Efros, M. Pollak (Eds.), Electron-Electron Interactions in Disordered Systems, North-Holland, Amsterdam, 1985.
70. M.C. Maliepaard, M. Pepper, R. Newbury, G. Hill, Phys. Rev. Lett. 61 (1988) 369.