Effective potentials and the onset of quantization in ultrasmall MOSFETs

✍ Scribed by David K Ferry

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 81 KB
• Volume: 28
• Category: Article
• ISSN: 0749-6036
• DOI: 10.1006/spmi.2000.0943

✦ Synopsis

The connection between the minimum size of an electron wavepacket, and the introduction of an effective potential is discussed. The effective potential approach has a long history of use in trying to transition the gap between classical mechanics and quantum mechanics. An effective potential is one in which the quasi-classical regime is approximated through a density which arises from the effective potential W(x) through exp [-βW(x)]. The generation of the effective potential W(x) gives the effects of the onset of quantization in the system. In this paper, we study the use of the effective potential in a triangular well formed between the oxide and the depletion field of the semiconductor. We determine the quantization energy of the carriers in the potential well and their mean set-back from the interface. Finally, we show the connection between the effective potential and the Bohm-derived quantum potentials that have become of interest in simulations.