Stationary states and phase diagram for a model of the Gunn effect under realistic boundary conditions

G. Gomila, J. M. Rubí, I. R. Cantalapiedra, and L. L. Bonilla
Phys. Rev. E 56, 1490 – Published 1 August 1997
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Abstract

A general formulation of boundary conditions for semiconductor-metal contacts follows from a phenomenological procedure sketched here. The resulting boundary conditions, which incorporate only physically well-defined parameters, are used to study the classical unipolar drift-diffusion model for the Gunn effect. The analysis of its stationary solutions reveals the presence of bistability and hysteresis for a certain range of contact parameters. Several types of Gunn effect are predicted to occur in the model, when no stable stationary solution exists, depending on the value of the parameters of the injecting contact appearing in the boundary condition. In this way, the critical role played by contacts in the Gunn effect is clearly established.

  • Received 13 March 1997

DOI:https://doi.org/10.1103/PhysRevE.56.1490

©1997 American Physical Society

Authors & Affiliations

G. Gomila and J. M. Rubí

  • Department de Física Fonamental, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain

I. R. Cantalapiedra

  • Departament de Física Aplicada, Universitat Politécnica de Catalunya, Gregorio Marañón 44, 08028 Barcelona, Spain

L. L. Bonilla

  • Escuela Politécnica Superior, Universidad Carlos III de Madrid, Butarque 15, 28911 Leganés, Spain

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Issue

Vol. 56, Iss. 2 — August 1997

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