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Title: On the theory of current passage via an ideal insulator

An analytic solution to the problem of current passage via an ideal insulator in the case of monopolar hole injection has been found. The current-voltage (J-V) characteristics have been obtained for the first time in a broad range of parameters (insulator length, hole concentrations at boundaries, temperature, etc.) and applied voltages. It is shown that the Mott-Gurney quadratic J-V relation is valid only in a certain interval of currents between J{sub 1} and J{sub 2}. For J < J{sub 1}, the current linearly depends on voltage V to within V{sup 3} terms. A new mode has been found for J > J{sub 2}, where the J-V characteristic also becomes linear because the insulator is completely filled with injected holes. The integration constants are determined in the entire range of parameters and currents. Analytic expressions for the spatial electric-field and hole-concentration distributions are derived.
Authors:
 [1]
  1. National Nuclear Research University MEPhI (Russian Federation)
Publication Date:
OSTI Identifier:
22472431
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 120; Journal Issue: 1; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; CONCENTRATION RATIO; DIELECTRIC MATERIALS; ELECTRIC CONDUCTIVITY; ELECTRIC FIELDS; HOLES; TEMPERATURE DEPENDENCE