1967
DOI: 10.1103/physrev.154.683
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Effect of Compensation on Breakdown Fields in Homogeneous Semiconductors

Abstract: Using Bloch and hydrogen-like functions, the impact-ionization coefficient has been calculated for processes in which an electron in a band collides with an electron on an impurity so as to ionize it. The problem is solved in the zero-order approximation, which is valid for trap depths large compared to kT e . Estimates of impact-ionization cross sections obtained this way are in good agreement with exact numerical calculators for the range relevant to this paper. The theory is applied to study the effect of d… Show more

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Cited by 35 publications
(11 citation statements)
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“…In this case, A I exponentially depends on the acceptor level depth (A I ∼ exp (−E A / (k B T )), which, in fact, suggests the exponential dependence of F B on E A . 25 As we showed above when studying the structure impedance, in a magnetic field the E A value shifts to the high-energy region by ∆E H A . Qualitatively, it is obvious that the enhancement of E A relative to the valence band results in the growth of the impact ionization activation energy; i.e., the process will be initiated at large F B (V c b ) (Fig.…”
Section: The DC Magnetoresistive Effectmentioning
confidence: 99%
See 1 more Smart Citation
“…In this case, A I exponentially depends on the acceptor level depth (A I ∼ exp (−E A / (k B T )), which, in fact, suggests the exponential dependence of F B on E A . 25 As we showed above when studying the structure impedance, in a magnetic field the E A value shifts to the high-energy region by ∆E H A . Qualitatively, it is obvious that the enhancement of E A relative to the valence band results in the growth of the impact ionization activation energy; i.e., the process will be initiated at large F B (V c b ) (Fig.…”
Section: The DC Magnetoresistive Effectmentioning
confidence: 99%
“…The change in the device current with time and the breakdown criterion can be quantitatively estimated using the balance equation for a kinetic process, which determines the hole density in a certain electric field (at a certain bias voltage). 25 In the simplified case, this equation can be written in the form …”
Section: The DC Magnetoresistive Effectmentioning
confidence: 99%
“…Below 40 K the current through the diode at the forward bias attaining the threshold value V b c ≈ 2 V increases by a few orders of magnitude. Such behavior means that at V b c ≈ 2 V the autocatalytic process of impact ionization of the shallow acceptor boron in the bulk of the semiconductor take place 25 . When the high bias voltage is applied, carriers acquire the kinetic energy, which exceeds the energy of ionization of acceptor impurities; i.e., impact ionization occurs.…”
Section: The DC Magnetoresistive Effectmentioning
confidence: 99%
“…15 For acceptor levels with an energy large compared to kT, the probability of impact ionization exponentially decreases with the depth of the acceptor level, and exponentially increases with the hole velocity. 16 Additionally, the recombination process is less effective when holes have high velocity since the capture cross section decreases with increasing carrier energy.…”
mentioning
confidence: 99%
“…3͑b͒ can be understood as follows. For small hole velocities ͑i.e., less wide energy barrier or low current͒, the rate of single hole capture is a few orders of magnitude larger than the impact ionization, 16,17 and most carriers are in the impurity band with low mobility ͓see bottom left, Fig. 3͑b͔͒.…”
mentioning
confidence: 99%