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Current–Voltage Characteristic and Electric Field Distribution in the Systems with N‐Type I–E Characteristic
Author(s) -
Sokolov Yu. F.
Publication year - 1969
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.19690330111
Subject(s) - cathode , anode , electric field , saturation current , saturation (graph theory) , space charge , voltage , atomic physics , physics , current (fluid) , condensed matter physics , analytical chemistry (journal) , chemistry , electron , mathematics , thermodynamics , electrode , quantum mechanics , combinatorics , chromatography
The boundary value problems adequate to the experimental conditions are formulated for the determination of the electric field distribution in N‐systems. These problems are analysed by the method of qualitative theory of differential equations. It is shown that: 1. In samples provided with any pair of heavy positive space‐charge layer (PSCL) and (or) heavy negative space‐charge layer (NSCL) contacts N‐type static I – U characteristics and static uniform field distributions are principally impossible in the range U p < U < U v . 2. The I – U characteristics with current saturation regions and step‐like field distributions may be observed experimentally. If the cathode contact is a NSCL one the saturation current is equal to I p and the field step is formed near the anode and moves to the cathode as U is increased. If the cathode contact is a PSCL one the saturation current is equal to I v and the field step is formed near the cathode and moves to the anode as U is increased. ( U p and U v are the peak and the valley voltages of the I – U characteristic in the case of a uniform field distribution, I p and I v are the peak and the valley currents of a N‐type I – E characteristic.).