Metallization and metallicity: Universal conductivity limits

Current Opinion in Solid State and Materials Science

Volumn 8, Issue 6, 2004, Pages 385-395

  Ganguly, P ^a  

^a NATIONAL CHEMICAL LABORATORY   (India)

Author keywords

Critical sheet resistance; Fermi liquid; Herzfeld criterion; Larmor times; Metallic hydrogen; Metallicity; Metallization; Minimum metallic conductivity; Mooij limit; Mott Hubbard limit; Non Fermi liquid

Indexed keywords

CHARGE CARRIERS; FERMI LIQUIDS; MAGNETIC FIELDS; MATHEMATICAL MODELS; PROBABILITY; SUPERCONDUCTING MATERIALS; TRANSITION METALS;

CRITICAL SHEET RESISTANCE; HERZFELD CRITERION; LARMOR TIMES; METALLIC HYDROGEN; METALLICITY; MINIMUM METALLIC CONDUCTIVITY; MOOIJ LIMIT; MOTT HUBBARD LIMIT; NON-FERMI LIQUIDS;

METALLIZING;

EID: 27544466312     PISSN: 13590286     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cossms.2005.07.001     Document Type: Article

References (108)

1. N.F. Mott Metal-insulator transitions 1990 Taylor & Francis Ltd. London
2. N.F. Mott Phil Mag B 26 1974 1015
3. N.F. Mott Phil Mag B 58 1987 369
4. N.F. Mott Phil Mag B 60 1989 365
5. N.F. Mott Adv Phys 16 1967 49
6. N.F. Mott Phil Mag 26 1972 1015
7. See N.F. Mott, and M. Kaveh Adv Phys 34 1985 329 and references therein
8. See M. Gurvitch Phys Rev B 24 1981 7404
9. P.A. Lee, and T.V. Ramakrishnan Rev Mod Phys 57 1985 287
10. E. Abrahams, P.W. Anderson, D.C. Licciardello, and T.V. Ramakrishnan Phys Rev Lett 42 1979 673
11. E. Abrahams, P.W. Anderson, and T.V. Ramakrishnan Phil Mag B 42 1980 827
12. P.W. Anderson Science 235 1987 1196
13. P.W. Anderson Phys Rev Lett 64 1990 1839
14. P.W. Anderson Phys Rev Lett 67 1991 2092
15. C.M. Varma, P.B. Littlewood, S. Schmitt-Rink, E. Abrahams, and A.E. Ruckenstein Phys Rev Lett 63 1989 1396
16. min appears to represent satisfactorily the value of electrical conductivity at which the activation energy for electrical conduction disappears in the high-temperature limit in a wide range of materials
17. K.F. Herzfeld Phys Rev 29 1927 701
18. K.F. Herzfeld J Chem Phys 44 1966 429
19. See P.P. Edwards, and M.J. Sienko Acc Chem Res 15 1982 87 and references therein
20. See P.P. Edwards, and M.J. Sienko Int Revs Phys Chem 3 1983 83
21. See T.G. Castner Phil Mag B 42 1980 73 for a description of the Clausius-Mossotti relationship with respect to the insulator-metal transition
22. See also C. Aebischer, D. Baeriswyl, and R.M. Noaele Phys Rev Lett 86 2001 468
23. J. Nellis J Phys Cond Matter 16 2004 S923
24. E.A. Goettel, J.H. Eggert, I.F. Silvera, and W.C. Moss Phys Rev Lett 62 1989 665
25. J.P. Itie, A. Polian, and J.M. Besson Phys Rev B 30 1984 R2309
26. M. Ross J Chem Phys 56 1972 4651
27. D. Emin Phys Rev Lett 62 1989 1544 and references therein
28. W.F. Brinkmann, and T.M. Rice Solid State Phys 32 1977 1
29. N.F. Mott, and Z. Zinamon Rep Prog Phys 33 1970 81
30. 0 is the mass of the free electron.
31. See K. Cho Excitons 1979 Springer-Verlag Berlin p. 1
32. B. Monemar, U. Lindefelt, and W.M. Chen Physica B 146 1987 256
33. L.V. Keldysh Contemp Phys 27 1986 395
34. M. Combescot Phys Repts 221 1992 170
35. Nh excitonic atom is related to the mechanism envisaged in this paper, except that we will find a limit to N
36. W.F. Brinkmann, and T.M. Rice Phys Rev B 7 1973 1508
37. N.F. Mott Proc Phys Soc Lond 62 1947 416
38. Y. Imry, and R. Landauer Revs Modern Phys 71 1999 S306
39. See B. Bagchi, and G. Fleming J Phys Chem 94 1990 9 and references therein
40. See, for example, L. Klein, L. Antognazza, T.H. Geballe, M.R. Beasley, and A. Kapitulnik Physica B 259-261 1999 431
41. Y.S. Lee, J. Yu, J.S. Lee, T.W. Noh, T.-H. Gimm, and H.-Y. Choi Phys Rev B 66 2002 041104R and references therein
42. D.B. McWhan, T.M. Rice, and P.H. Schmidt Phys Rev 177 1969 1063
43. B. Vasvari, A.O.E. Animalu, and V. Heine Phys Rev 154 1967 535
44. B. Vasvari, and V. Heine Phil Mag 15 1967 731
45. V.M. Kenkre, and R.S. Knox Phys Rev B 9 1974 5279
46. V.M. Kenkre, and R.S. Knox Phys Rev Lett 33 1974 803
47. T. Förster Ann Physik 2 1948 55
48. L. Stryer, and R.P. Haugland Proc Natnl Acad Sc USA 58 1967 719
49. See G. Trinkunas, J.L. Herek, T. Polívka, V. Sundström, and T. Pullerits Phys Rev Lett 86 2001 4167 and references therein
50. There have been exciting experiments on semiconductor quantum defects showing evidence for large excitonic "artificial atoms" due to quantum confinement. We have not looked for a relationship between our σ N h excitonic Bohr atom and these artificial atoms; See R.C. Ashoori Nature (London) 379 1996 413
51. U. Banin, Y. Cao, D. Katz, and O. Millo Nature (London) 400 1999 542
52. L.E. Brus J Chem Phys 80 1984 4403
53. Ping Sheng Phys Rev B 21 1980 2180
54. Y.W. Park, A.J. Heeger, M.A. Druy, and A.G. MacDiarmid J Chem Phys 73 1980 946
55. S. Kivelson, and A.J. Heeger Synth Metals 22 1988 371
56. -2 dependence was first pointed out in a footnote in this paper
57. P.P. Edwards, R.L. Johnston, C.N.R. Rao, D.P. Tunstall, and F. Hensel Phil Trans R Soc Lond A 356 1998 5
58. P.P. Edwards, and M.J. Sienko Phys Rev B 17 1978 2575
59. H with X ∼ 2.2
60. See J.A. Wilson Adv Phys 21 1972 143 and references therein for a friendly discussion on the Mott-Hubbard model
61. These are identified sometimes as neutral spin 1/2 fermions or "spinons" and ±e charged spinless bosons. They are the elementary excitations of the resonating valence bond state. See S.A. Kivelson, D.S. Rokhsar, and J.P. Sethna Phys Rev B 35 1987 8865
62. F.D.M. Haldane Phys Rev Lett 45 1981 1358
63. N. Kawakami, and S.K. Yang Phys Rev Lett 65 1990 2309
64. H. Frahm, and V.E. Korepin Phys Rev B 42 1990 10553
65. For a review, see J. Voit Rep Prog Phys 58 1995 977
66. See Q. Si, and G. Kotliar Phys Rev Lett 70 1993 3143
67. See R. Landauer, and Th. Martin Rev Mod Phys 66 1994 217
68. See, for example, van den Brink J. The hubbard model with orbital degeneracy and in polarizable media. Thesis, Groningen University, 1997 [chap. III]. The value of P would depend on the interaction with the environment. For attractive electron-hole interactions P would decrease even if the correlation gap is unchanged. In the absence of these interactions and in the strong coupling limit P = 4.
69. G. Porter, and M.R. Wright Disc Faraday Soc 27 1959 18
70. G. Porter, and M.R. Wright Chem Rev 97 1997 1735
71. B.A. Springer, S.G. Silgar, J.S. Olson, and G.N. Phillips Chem Rev 94 1994 699
72. M. Ogata, and P.W. Anderson Phys Rev Lett 70 1993 3087 and references therein
73. C. Zener Phys Rev 82 1951 403
74. See web sites www.riskglossary.com/articles/monte_carlo_method.htm, http://www.mste.uiuc.edu/reese/buffon/buffon.html and http://www.angelfire.com/ wa/hurben/buff.html, for example.
75. T. Förster Delocalized excitation and excitation transfer O. Sinanoslu Modern quantum chemistry, part III 1965 Academic Press New York 93
76. N.F. Mott Proc Roy Soc 382 1982 1 and references therein
77. See C.N.R. Rao, and P. Ganguly D. Adler H. Fritzsche Localization and metal-insulator transitions 1985 Plenum Press New York 53
78. P. Ganguly, N.Y. Vasanthacharaya, P.P. Edwards, and C.N.R. Rao J Solid State Chem 54 1984 400
79. P.P. Edwards, T.V. Ramakrishnan, and C.N.R. Rao J Phys Chem 99 2000 5228
80. See P. Ganguly Proc Ind Acad Sci (Chem Sci) 96 1986 523
81. P. Ganguly Proc Indian Natn Sci Acad 52A 1986 135
82. P. Ganguly S.K. Malik S.S. Shah Physical and material properties of high-temperature superconductors 1994 Nova Science Publishers, Inc. New York
83. C. Infante Physica C 167 1990 640
84. min(FL)
85. J.H. Mooij Phys Status Solidi A 17 1973 521
86. See also C.C. Tsuei Phys Rev Lett 57 1983 1943
87. X.G. Feng, D. Popovic, S. Washburn, and V. Dobrosavlejvic Phys Rev Lett 86 2001 2625
88. D.B. Haviland, Y. Liu, and A.M. Goldman Phys Rev Lett 62 1989 2180
89. T. Wang, K.M. Beauchamp, D.D. Berkley, B.R. Johnson, J.-X. Liu, and J. Zhang Phys Rev B 43 1991 8623
90. A.M. Goldman Physica E 18 2003 1
91. A.M. Goldman, and Y. Liu Physica D 83 1995 613
92. A.F. Hebard, and M.A. Paalanen Phys Rev Lett 65 1990 927
93. S.J. Lee, and J.B. Ketterson Phys Rev Lett 64 1990 3078
94. T. Peng Phys Rev Lett 62 1989 2176
95. P. Ganguly J Phys Chem 104 2000 8432
96. J.H. Eggert Phys Rev Lett 66 1991 671
97. C. Narayana, H. Luo, J. Orloff, and A.L. Ruoff Nature (London) 393 1998 46
98. M. Ross J Chem Phys 56 1972 4651
99. J.H. Kim, T. Ree, and F.H. Ree J Chem Phys 91 1989 3133
100. E. Wigner, and H.B. Huntington J Chem Phys 3 1935 764
101. B.J. Alder, and R.C. Christian Phys Rev Lett 4 1960 450
102. S.T. Weir, A.C. Mitchell, and W.J. Nellis Phys Rev Lett 76 1996 1860
103. W. Nellis, S. Weir, and A. Mitchell Phys Rev B 59 1999 3434
104. W.J. Nellis, M. Ross, and N.C. Holmes Science 269 1995 1249
105. W.J. Nellis, S.T. Weir, and A.C. Mitchell Science 273 1996 936
106. W.J. Nellis High Pressure Res 22 2002 1
107. M. Bastea, A.C. Mitchell, and W.J. Nellis Phys Rev Lett 86 2001 3108
108. A.S. Bulchar, and H.S. Drickmar J Chem Phys 34 1961 1948