By Vladislav A. Vashchenko, V. F. Sinkevitch
Offering an enormous hyperlink among the theoretical wisdom within the box of non-linier physics and useful software difficulties in microelectronics, the aim of the publication is popularization of the actual technique for reliability coverage. one other targeted point of the ebook is the assurance given to the position of neighborhood structural defects, their mathematical description, and their impression at the reliability of the semiconductor units.
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30) without factor ΔA1. The only possible stable nonuniform state corresponds to the transformation I– V characteristic in real structures to the transition into solitary filaments: the branches “FG” and “OK” (Fig. 5) are merged and form a continuous branch that corresponds to the solitary filaments. At the same time, the branch of stable edge filaments “PT” is realized. 4 Localization and Stability of Solitary Filaments The conditions of formation and stability for filaments in the nonuniform structures can be analyzed rather accurately.
4, the I–V characteristic with inhomogeneity has no critical points and is splitting into isolated branches. The branch “OK” corresponds to “hot” states with the maximum temperature in the inhomogeneity region. Branch “BDE” represents “cool” states with the maximum temperature located far from the inhomogeneity region. In the discussed case under the conditions of quasi-static (gradual) regime change, the states corresponding to the branch “BDE” should be excluded. ” However, the filaments in the region “DE” are stable with the temperature peak location is at the opposite boundary relatively the inhomogeneity.
1% duty factor even if the same current–voltage regime is realized. The method of SOA determination includes the primary operation area. This area is limited by currents and voltage in the short-term regime. For example, several hours of operation in this primary SOA regime should be sufficiently far from the basic instantaneous catastrophic failures. , on Pmax) and on Imax. Thus, primary SOA should be reduced down to some area (shaded in Fig. 6a). While in the first case the technique of SOA delimitation requires shortterm measurements [2, 4], in the second case the long-term tests are used to measure appropriate reliability parameters.