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Moreover, the generation rate (G btt ) of band-to-band tunnel is calculated, and the influence of tunneling effect on avalanche field was analyzed.

Figure 3 Modeling of tunneling effect among neighboring CNTs.

Finally, the G btt of tunneling effect was calculated, and the influence of tunneling effect on the avalanche field was analyzed.

Thus, the carrier transportation in ZnO is with the aid of tunneling effect in HRS.

An additional tunneling factor which characterises the tunneling effect of buffer layer is introduced.

To verify and analyze the influence of tunneling effect on practical structure of APDs, we simulated the relationship between the tunneling effect and multiplication avalanche field in details in the "Results and Discussion" section.

The conduction process is not only related with the barrier hopping but also tunneling effect of electrons.

The possibility of leakage through the tunneling effect across the cell is also considered and estimated quantitatively.

The analytical results predict the enhancement of the quantum tunneling effect as the oxide thickness is reduced.

The latter observation was attributed to the formation of continuous pathway associated with electron tunneling effect, beyond percolation threshold.

Especially for the cases of low CNT loadings and high strains, this nonlinear behavior becomes more obvious, which indicates the significance of tunneling effect.

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