Abstract
We consider a model for independent charged particles, hopping on a lattice with static disorder in the waiting times. The excess current noise is calculated and shown to be related to resistance noise and arising from mobility fluctuations. It is also related to the four point super-Burnett-function. The strength of the noise is calculated at small frequencies for weak disorder (classical long time tails) and for strong disorder, when it may behave like I/f. In that case the Hooge factor equals the fraction of deep trapping centers.
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References
P. Dutta and P. M. Horn,Rev. Mod. Phys. 53:497 (1981).
F. N. Hooge, T. G. M. Kleinpenning, and L. K. J. Vandamme,Rep. Prog. Phys. 44:479 (1981).
M. B. Weismann, in Sixth International Conference on Noise in Physical Systems, P. H. E. Meyer, R. D. Mountain, and R. J. Soulen Jr., eds. (Department of Commerce, Washington D.C., 1981), pp. 133.
G. N. Bochkov and Yu. E. Kuzovlev,Sov. Phys. Usp. 26:829 (1983).
D. A. Bell,J. Phys. C 13:4425 (1980).
R. F. Voss and J. Clarke,Phys. Rev. Lett. 36:42 (1976);Phys. Rev. B 13:556 (1976).
H. G. E. Beck and W. P. Spruit,J. Appl. Phys. 49:3384 (1978).
A.-M. Tremblay and M. Nelkin,Phys. Rev. B 24:2551 (1981).
C. J. Stanton and M. Nelkin,J. Stat. Phys. 37:1 (1984).
H. Spohn,Z. Phys. 57B:255 (1984); H. van Beijeren, R. Kutner, and H. Spohn,Phys. Rev. Lett. 54:2026 (1985).
J. Machta, M. Nelkin, Th. M. Nieuwenhuizen, and M. H. Ernst,Phys. Rev. B 31:7636 (1985).
A. L. McWorther,Semiconductor Surface Physics, R. H. Kingston, ed. (University of Pennsylvania, Philadelphia, 1957), pp. 207.
M. H. Ernst, J. Machta, J. R. Dorfman, and H. van Beijeren,J. Stat. Phys. 34:477 (1984); J. Machta, M. H. Ernst, H. van Beijeren, and J. R. Dorfman,J. Stat. Phys. 35:413 (1984).
W. Lehr, J. Machta, and M. Nelkin,J. Stat. Phys. 36:15 (1984).
D. M. Fleetwood, J. T. Masden, and N. Giordano,Phys. Rev. Lett. 50:450 (1983).
M. Nelkin and A. K. Harrison,Phys. Rev. B 26:6696 (1982).
Th. M. Nieuwenhuizen and M. H. Ernst, inKinetics of Aggregation and Gelation, F. Family and D. P. Landau, eds. (Elseviers, Amsterdam, 1984), pp. 249; preprint (1984).
T. Kirkpattrick and J. Dorfman, inFundamental Problems in Statistical Mechanics VI, E. G. D. Cohen (ed.) (North-Holland, 1985).
J. K. E. Tunaley,J. Stat. Phys. 15:149 (1976).
M. H. Ernst and H. van Beijeren,J. Stat. Phys. 26:1 (1981).
P. J. H. Denteneer and M. H. Ernst,Phys. Rev. B 29:1755 (1984).
J. Haus, K. Kehr, and J. Lyklema,Phys. Rev. B 25:2905 (1982).
P. J. H. Denteneer and M. H. Ernst,J. Phys. C 16:L961 (1983).
J. A. McLennan,Phys. Rev. A 8:1479 (1973); I. M. de Schepper, H. van Beijeren, and M. H. Ernst,Physica 75:1 (1974).
I. Webman,Phys. Rev. Lett. 47:1496 (1981).
Th. M. Nieuwenhuizen and M. H. Ernst,Phys. Rev. B 31:3518 (1985).
B. Movaghar, D. Murray, B. Pohlmann, and D. Würtz,J. Phys. C 17:1677 (1984).
T. G. M. Kleinpenning,Physica B 113:189 (1982).
G. Bosman, R. J. J. Zijlstra, and A. van Rheenen,Phys. Lett. A 78:385 (1980);Phys. Lett.A 80:57 (1980).
A. Ludvikson, R. Kree, and A. Schmid,Phys. Rev. Lett. 52:950 (1984).
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Nieuwenhuizen, T.M., Ernst, M.H. Excess noise in a hopping model for a resistor with quenched disorder. J Stat Phys 41, 773–801 (1985). https://doi.org/10.1007/BF01010003
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DOI: https://doi.org/10.1007/BF01010003