Effective potentials and the onset of quantization in ultrasmall MOSFETs

David K. Ferry

Research output: Contribution to journalArticlepeer-review

49 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)419-423
Number of pages5
JournalSuperlattices and Microstructures
Volume28
Issue number5-6
DOIs
StatePublished - Nov 2000

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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