Temporal oscillations of current tunneling through a point junction

Boris A. Malomed*, Mark Y. Azbel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We consider scattering of quantum particles by a potential which includes a delta-function whose amplitude contains a term proportional to the density of particles. This is the simplest model of the single-particle tunneling through an ultrashort junction in the presence of the multiparticle interactions. Solution of the scattering problem in this nonlinear model is non-unique in a certain interval of amplitudes of the incident wave. We demonstrate that the nonlinearity gives rise to an oscillatory instability of the scattering solutions, which has a threshold in the density of particles as well as in the single-particle energy. The instability must manifest itself, generating an ac component in the transmitted current.

Original languageEnglish
Pages (from-to)103-105
Number of pages3
JournalPhysica C: Superconductivity and its Applications
Issue number1-3
StatePublished - 20 Apr 1993


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