Theory of electrical instabilities of mixed electronic and thermal origin

D. M. Kroll, M. H. Cohen

Research output: Contribution to journalArticle

52 Scopus citations

Abstract

Switching phenomena in amorphous semiconductors have been analyzed in a thermoelectric model. We have been able to obtain current-voltage characteristics from very general mathematical considerations concerning existence, uniqueness, local and global stability, bifurcation, and asymptotic behavior of the non-linear equations for temperature and field. Similar considerations show taht switching proceeds by the nucleation and growth of a hot spot in the interior. Detailed quantitative results are presented for simple models.

Original languageEnglish (US)
Pages (from-to)544-551
Number of pages8
JournalJournal of Non-Crystalline Solids
Volume8-10
Issue numberC
DOIs
StatePublished - Jan 1 1972
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Condensed Matter Physics
  • Materials Chemistry

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