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STUDY ON PHASE TRANSITION OF Si (111) 7x7 STRUCTURE BY MONTE-CARLO SIMULATION

Research Project

Project/Area Number 07805005
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 表面界面物性
Research InstitutionFUKUOKA INSTITUTE OF TECHNOLOGY

Principal Investigator

KATO Tomohiko  FUKUOKA INSTITUTE OF TECHNOLOGY,DEPARTMENT OF ELECTRONICS,PROFESSOR, 工学部, 教授 (90023217)

Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1996: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1995: ¥800,000 (Direct Cost: ¥800,000)
KeywordsSi (111) 7x7 structure / DAS structure / 2-D phase transition / structural phase transition / quenched surface / pattern formation / lattice gas model / Si(III)7x7 structure / pattem formation / Si(111)7×7 structure / super cooling
Research Abstract

<1> Modeling of 7x7 structure
The surface structure is described in terms of two states of each unit which is defined as a triangular half of the 7x7 unit cell. The two states ; one a stacking-faulted structure and the other '1x1' structure, is expressed by a number operator in the lattice gas model. The Hamiltonian of the system is given by a functional of the number operators. We derive relations between the in interactions and formation energies of components of 7x7 structure and find existence of a type of three-body interaction. Considering the '1x1' structure a set of disordered states, we introduce the degeneracy.
<2> Numerical calculation
We performed numerical calculations for the above model by Monte-Calro simulation. It results that
(1) the structure undergoes the first order transition as the experiments (2) the characteristic features of growing patterns from F-step, U-step, terrace on the quenched surface are well reproduced (3) the temperature dependence of the critical size for nucleation on the quenched surface is qualitatively in agreement with the experimental result.
<3> Publication of results
The above results have been got by various trials. The result in each stage was published in reported in Research Bulletin of Fukuoka Institute of Technology and reported in several meetings of Physical Society of Japan. Now, we are going to submit a paper which include the new results to some scientific journal.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (8 results)

All Other

All Publications (8 results)

  • [Publications] 加藤友彦他6名: "Si(III)7×7構造の相転移と結晶成長のモデル" 福岡工業大学研究論集. 28. 315-322 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 加藤友彦他6名: "Si(III)7×7構造の相転移のモデルII" 福岡工業大学研究論集. 29. 29-34 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Tomohiko Kato: "Model of Phase Transition Epitaxial Growth of Si (111) 7x7 Structure" Research Bulletin of Fukuoka and Institute of Technology. Vol. 28, No. 2. 315-322 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Tomohiko Kato: "Model of Phase Transition of Si (111) 7x7 Structure II" Research Bulletin of Fukuoka Institute of Technology. Vol. 29, No. 1. 29-34 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 加藤友彦 他6名: "Si(III)7x7構造の相転移と結晶成長のモデル" 福岡工業大学研究論集. 28. 315-322 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 加藤友彦 他3名: "Si(III)7x7構造の相転移のモデルII" 福岡工業大学研究論集. 29. 29-34 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 加藤友彦他6名: "Si(111)7×7構造の相転移と結晶成長のモデル" 福岡工業大学研究論集. 28. 315-322 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 加藤友彦他3名: "Si(111)7×7構造の相転移のモデルII" 福岡工業大学研究論集. 29(発表予定). (1996)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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