3.8 Trap-Assisted Tunneling

Besides direct or FOWLER-NORDHEIM tunneling, which are one-step tunneling processes, defects in the dielectric layer give rise to tunneling processes based on two or more steps. This tunneling component is mainly observed after writing-erasing cycles in electrically erasable programmable read-only-memories (EEPROMs). It is therefore assumed that traps arise in the dielectric layer due to the repeated high voltage stress. The increased tunneling current at low bias is called stress-induced leakage current (SILC) and is mainly responsible for the degradation of the retention time of non-volatile memory devices [187]. It is now generally accepted that it is caused by inelastic trap-assisted tunnel transitions and that the traps are created by the electric high-field stress during the writing and erasing processes [187,188,189,190,191,192]. SILC has been widely studied and modeled in MOS capacitors [193,194,195] and EEPROM devices [196].

This section gives a brief overview of trap-assisted tunneling models, describes two frequently encountered models (CHANG's and IELMINI's model) and elaborates on one of the most sophisticated models which was originally proposed by JIMENEZ et al.. The adaption of this model to allow its inclusion in the device simulator MINIMOS-NT is described in some detail.


Subsections

A. Gehring: Simulation of Tunneling in Semiconductor Devices