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2010 Fiscal Year Final Research Report

A New Monte Carlo Method in Quantum Spin Systems (Stochastic State Selection)

Research Project

  • PDF
Project/Area Number 19540398
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionUniversity of Yamanashi

Principal Investigator

MUNEHISA Tomoo  University of Yamanashi, 大学院・医学工学総合研究部, 教授 (30174254)

Project Period (FY) 2007 – 2010
Keywords計算物理学 / 量子スピン / モンテカルロ法 / 三角格子 / 確率的状態選択法
Research Abstract

We developed a new method to calculate physical quantity in the quantum spin system. This method is one of first principle methods and called as a stochastic state selection method. By this method we can calculate energy and other quantity in triangular lattice. In this system our results indicate that the spontaneous symmetry breaking occurs and the Nambu boson exists.

  • Research Products

    (7 results)

All 2010 2009 2008 2007 Other

All Journal Article (3 results) (of which Peer Reviewed: 2 results) Presentation (3 results) Remarks (1 results)

  • [Journal Article] Numerical study of the spin-1/2 Heisenberg antiferromagnet on a 48-site triangular lattice using the stochastic state selection method2010

    • Author(s)
      T.Munehisa, Y.Munehisa
    • Journal Title

      arXiv cond-mat 1008161

      Pages: 1-15

  • [Journal Article] A Constrained Stochastic State Selection Method Applied to Frustrated Quantum Spin Systems2009

    • Author(s)
      T.Munehisa, Y.Munehisa
    • Journal Title

      J.Phys : Condens. 21

      Pages: 236008-236019

    • Peer Reviewed
  • [Journal Article] An Equilibrium for Frustrated Quantum Spin Systems in the Stochastic State Selection Method2007

    • Author(s)
      T.Munehisa, Y.Munehisa
    • Journal Title

      J.Phys : Condens. 19

      Pages: 196202-196220.

    • Peer Reviewed
  • [Presentation] 確率的状態選択法によるスピン1/2三角格子ハイゼンベルグ反強磁性体の励起エネルギー計算2010

    • Author(s)
      宗久知男
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-20
  • [Presentation] 確率的状態選択法による三角格子ハイゼンベルグ量子スピン模型の励起エネルギー計算2008

    • Author(s)
      宗久知男
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-20
  • [Presentation] 確率的状態選択法による三角格子量子スピン系の変分波動関数の評価2007

    • Author(s)
      宗久知男
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-22
  • [Remarks] ホームページなど

    • URL

      http://www.ccn.yamanashi.ac.jp/~munehisa/munehisa/index-.j.html

URL: 

Published: 2012-01-26   Modified: 2016-04-21  

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