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 , the one-dimensional SCL current density is enhanced by a factor of , where measures the mean position of the injected electrons in the solid of length , and 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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