Abstract
This paper reviews experimental and theoretical work carried out on space charge instabilities and temporal chaotic behavior in cooled extrinsic p-type Germanium photoconductors. Measured dc current-voltage (I–V) characteristics of these devices are strongly nonlinear for moderate electric fields ≧0.1 V/cm due to field dependence of the rates of free hole capture and impurity impact ionization. Below the threshold field for impurity breakdown, Ge samples behave like damped nonlinear oscillators, exhibiting characteristic chaotic response when driven by a time-periodic voltage. Above impurity breakdown, we observe voltage-controlled negative differential resistance (NDR) in the I–V curves accompanied by spontaneous current oscillations due to moving space charge domains with velocities 103 to 104 cm/s. Measurements are well explained by a simple rate equation model in which negative differential behavior in the impact ionization rate plays a crucial role. Related work on semiconductor chaos and possible future directions for research are also mentioned.
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References
R.M. Westervelt, S.W. Teitsworth: J. Appl. Phys.57, 5457 (1985)
E.M. Conwell:High Field Transport in Semiconductors, In Solid State Physics Suppl. 9, ed. by F. Seitz, D. Turnbull, H. Ehrenreich (Academic, New York 1967)
B.K. Ridley: Proc. Phys. Soc.82, 954 (1963)
E. Schöll: Z. Phys. B52, 321 (1983)
E. Schöll: Phys. Rev. B34, 1395 (1985)
S.M. Sze:The Physics of Semiconductor Devices, 2nd edn. (Wiley, New York 1981)
B.K. Ridley, R.G. Pratt: J. Phys. Chem. Sol.26, 21 (1965)
M. Kikuchi, M. Suzuki, T. Shibuya: Jpn. J. Appl. Phys.1, 188 (1962)
S.W. Teitsworth, R.M. Westervelt, E.E. Haller: Phys. Rev. Lett.51, 825 (1983)
J. Peinke, A. Muhlbach, R.P. Huebener, J. Parisi: Phys. Lett.108A, 407 (1985)
K. Aoki, K. Yamamoto: Phys. Lett.98A, 72 (1983)
D.G. Seiler, C.L. Littler, R.J. Justice, P.W. Milonni: Phys. Lett108A, 462 (1985)
J. Guckenheimer, P. Holmes:Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer, New York 1983)
T.C. Halsey, M.H. Jensen, L.P. Kadanoff, I. Procaccia, B. Schraiman: Phys. Rev. A34, 1141 (1986)
For examples, seeSpatio-Temporal Coherence and Chaos in Physical Systems, ed. by A.R. Bishop, G. Grüner, B. Nicolaenko (North-Holland, Amsterdam 1986)
A. Dougherty, P.H. Kaplan, J.P. Gollup: Phys. Rev. Lett.58, 1652 (1987)
C.W. Meyer, G. Ahlers, D.S. Cannell: Phys. Rev. Lett.59, 1577 (1987)
N.M. Haegel, M.R. Hueschen, E.E. Haller: Infrared Phys.25, 273 (1985)
N.F. Mott, H.S.W. Massey:The Theory of Atomic Collisions (Clarendon, Oxford 1965)
M. Lax: Phys. Rev.119, 1502 (1960)
L. Reggiani, C. Canali, F. Nava, G. Ottaviani: Phys. Rev. B16, 2781 (1977)
S.W. Teitsworth: Ph.D. thesis, Harvard University (University Microfilms International, Ann Arbor, Michigan 1986)
L.M. Lambert: J. Phys. Chem. Sol.23, 1481 (1962)
S.W. Teitsworth, R.M. Westervelt: Phys. Rev. Lett.56, 516 (1986)
D.D. Coon, A.G.U. Perera: Appl. Phys. Lett.51, 1086 (1987)
S.W. Teitsworth, R.M. Westervelt: InProceedings of the Ninth International Conference on Noise in Physical Systems, ed. by C.M. Van Vliet (World Scientific, Singapore 1987)
S.W. Teitsworth, R.M. Westervelt: Phys. Rev. Lett.53, 2587 (1984)
S.W. Teitsworth, B.A. Lynn, R.M. Westervelt: Physica Scripta T14, 71 (1987)
E.G. Gwinn, R.M. Westervelt: Phys. Rev. Lett.57, 1060 (1986)
S.W. Teitsworth, A.M. Kahn, R.M. Westervelt: To be published
E.G. Gwinn: Ph.D. thesis, Harvard University, 1987
J.A. Vastano, H.L. Swinney: Phys. Rev. Lett.60, 1773 (1988)
S.W. Teitsworth, R.M. Westervelt: Physica23D, 181 (1986)