Analysis of coulomb interaction using modified particle-particle-particle-mesh method in Monte Carlo simulation

Lee, Wonsok

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https://hdl.handle.net/2142/29492 Copy

Description

Title

Analysis of coulomb interaction using modified particle-particle-particle-mesh method in Monte Carlo simulation

Author(s)

Lee, Wonsok

Issue Date

2012-02-01T00:49:07Z

Director of Research (if dissertation) or Advisor (if thesis)

Ravaioli, Umberto

Doctoral Committee Chair(s)

Ravaioli, Umberto

Committee Member(s)

• Jain, Kanti
• Lyding, Joseph W.
• Aluru, Narayana R.

Department of Study

Electrical & Computer Eng

Discipline

Electrical & Computer Engr

Degree Granting Institution

University of Illinois at Urbana-Champaign

Degree Name

Ph.D.

Degree Level

Dissertation

Keyword(s)

• particle-particle-particle-mesh (p3m)
• Coulomb scattering
• Coulomb interaction
• carrier-carrier scattering
• impurity scattering
• short-range force

Abstract

We introduce a particle{particle{particle{mesh (P3M) method modi ed by a simple yet accurate numerical reference force, which solves the ambiguity of the original P3M method by e ectively eliminating double-counting of pair forces inside the short range. The substantial advantages over the original method are con rmed with extensive veri cations. The modi ed P3M method is implemented into an ensemble Monte Carlo (EMC) simulator, MOCA3D, to treat the Coulomb scattering, i.e. carrier-carrier and carrier-impurity scattering. We show that most of the problems in the particle{mesh (PM) based scattering rate approach are solved by the P3M method. The properties of the Coulomb scattering are analyzed by comparison of the proposed and the conventional approaches. One of the important observations is that the introduction of discrete dopants in EMC simulation signi cantly in uences the carrier energy and the device performance. The proposed method can also be applied for the random dopant uctuation (RDF) simulation, in which the accurate treatment of charge granular e ect is required. Furthermore, a 2-D P3M method is developed based on the 3-D approach. The inherent di culty in 2-D simulation, due to the line-charge approximation, can be overcome by a quasi 3-D approach. The application results also show the properties and the shortcomings of the 2-D approach. The validity and the accuracy of the proposed 3-D and 2-D P3M-EMC simulators are veri ed with the low- eld mobility extraction. We believe that the proposed P3M approach both in 3-D and 2-D has improved the applicability of the original P3M method and can be used widely for the calculation of inter-particle forces.

Graduation Semester

2011-12

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http://hdl.handle.net/2142/29492

Copyright and License Information

Copyright 2011 Wonsok Lee

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