Abstract
This paper examines how an electric field relaxes when a discontinuous large carrier-depleting voltage applied to high-resistance symmetric metal-semiconductor-metal (MSM) and metal-insulator-semiconductor-insulator-metal (MISIM) structures having a single impurity level, and how its energy level ɛ t=E c−E t and the tunneling transparency T n,p of the metal-semiconductor or metal-insulator boundary affect the relaxation. It is shown that the relaxation of the field and the form of its steady-state distribution depend on the ratio of the time constant t p in the majority-carrier (hole) region to the ionization time τ −1 t =α n (n *+n 1)+α p (p *+p 1) of a deep trap in the bulk. This ratio determines the relative contributions of free ρ p,n and bound charge dnsities ρ t (where α n,p is the coefficient for capture by an impurity, and p *, n *, p 1, n 1 are equilibrium concentrations and Shockley-Read constants in the bulk). For τ t ≈(τ t )max≫t p ,ρ t ≫ it is found that ρ p,n and ρ t ≫ρ p,n , which corresponds to a trap energy close to \(\varepsilon _t = {{E_g } \mathord{\left/ {\vphantom {{E_g } 2}} \right. \kern-\nulldelimiterspace} 2} + kT\ln \sqrt {{{N_c \alpha _n } \mathord{\left/ {\vphantom {{N_c \alpha _n } {(N_\upsilon \alpha _p )}}} \right. \kern-\nulldelimiterspace} {(N_\upsilon \alpha _p )}}} \), independent of the value of T n,p , decaying oscillations arise in the concentration distribution, bulk charge, and field appear in the bulk. The amplitude of these oscillations reaches a maximum at time t≈0.4τ t. Decreasing the ratio α p/αn causes τ t to deviate from (τ t)max. When this happens, the field no longer oscillates; instead, it increases with positive curvature in the cathode portion of the bulk. The quantity T n,p determines the behavior of the field in the neighborhood of the anode. The value of (dE/dx)0 is positive for MSM structures (T n,p ≈1), and negative for MISIM structures (T n,p ≈0). For transparencies close to a critical value T 0 n,p , the field in the structure remains almost uniform over an impurity ionization time.
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Fiz. Tverd. Tela (St. Petersburg) 39, 1775–1782 (October 1997)
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Reznikov, B.I. Relaxation of post-illumination electric fields in strongly biased high-resistance structures with a single deep impurity level. Phys. Solid State 39, 1582–1589 (1997). https://doi.org/10.1134/1.1129902
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DOI: https://doi.org/10.1134/1.1129902