The letter presents a two-dimensional analytical model of the space charge limited (SCL) current injection in a solid with exponentially distributed trap energy state. By considering that the electrons are injected from an infinitely long emission strip of width W, the one-dimensional SCL current density is enhanced by a factor of 1+F(4∕π)∕(W∕L), where F=1∕(l+2) measures the mean position of the injected electrons in the solid of length L, and l is the ratio of the distribution of the traps to the free carriers. The analytical formula is verified by using a two-dimensional device simulator.
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Chandra et al. (2007) studied this question.
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