A quantum correction based on Schrödinger equation applied to Monte Carlo device simulation

Brian Winstead, Umberto Ravaioli

Research output: Contribution to journalArticlepeer-review


A full-band Monte Carlo model has been coupled to a Schrödinger equation solver to account for the size quantization effects that occur at heterojunctions, such as the oxide interface in MOS devices. The overall model retains the features of the well-developed semi-classical approach, by treating self-consistently the Schrödinger solution as a correction to the particle-based Monte Carlo. The simulator has been bench-marked by comparing results for MOS capacitors and double gate structures with a self-consistent quantum solution, showing that the proposed approach is efficient and accurate. This quantum correction methodology is extended to device simulation, by accounting for the interplay between confinement and transport through a parameter which we call "transverse" temperature. This approach appears to be valid even for nanometer-scale devices in which nonequilibrium ballistic transport is occurring. We present simulations of a 25-nm MOSFET and compare results obtained with and without the quantum correction.

Original languageEnglish (US)
Pages (from-to)440-446
Number of pages7
JournalIEEE Transactions on Electron Devices
Issue number2
StatePublished - Feb 2003


  • Monte Carlo methods
  • Nanotechnology
  • Quantum effects
  • Schrödinger equation
  • Semiconductor device models

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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