2010 Fiscal Year Final Research Report
Study on Phase Transitions and Dynamics of Spin System with Long-range Interactions
| Project/Area Number |
20540364
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | The University of Tokyo |
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Principal Investigator |
TODO Synge The University of Tokyo, 大学院・工学系研究科, 講師 (10291337)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 長距離相互作用 / モンテカルロ法 / 詳細釣り合い条件 / 量子モンテカルロ法 / エンタングルメントエントロピー / 臨界現象 / 並列計算 / 負符号問題 |
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| Research Abstract |
It has long been very difficult to simulate spin systems with long-range interactions since the number of interactions increases proportional to the square of the number of spins. We have developed an Order-N Monte Carlo method for generic long-range interacting system. We have also developed a versatile algorithm, which minimizes the rejection rate in Monte Carlo method. In addition, we have revealed the low-temperature phase of the spin-ice and the effect of quantum phonon in spin-Peierls system, and proposed methods to measure the entanglement entropy and local Z_2 Berry phase.
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Research Products
(32 results)
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[Journal Article] The ALPS project release 2.0 : Open source software for strongly correlated systems2011
Author(s)
B.Bauer, L.D.Carr, A.Feiguin, J.Freire, S.Fuchs, L.Gamper, J.Gukelberger, E.Gull, S.Guertler, A.Hehn, R.Igarashi, S.V.Isakov, D.Koop, P.N.Ma, P.Mates, H.Matsuo, O.Parcollet, G.Pawlowski, J.D.Picon, L.Pollet, E.Santos, V.W.Scarola, U.Schollwock, C.Silva, B.Surer, S.Todo, S.Trebst, M.Troyer, M.L.Wall, P.Werner, S.Wessel
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Journal Title
J.Stat.Mech.
Pages: 05001
Peer Reviewed
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