2007 Fiscal Year Final Research Report Summary
Research on large-scale simulation method for quantum lattice models with strong randomness
| Project/Area Number |
18540369
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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, Graduate School of Engineering, Lecturer (10291337)
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| Project Period (FY) |
2006 – 2007
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| Keywords | computational physics / quantum lattice models / randomness / magnetism / long-range interaction / quantum spin systems / quantum Monte Carlo method / parallel computing |
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| Research Abstract |
The objectives of the project are as follows : 1) development of quantum Monte Carlo methods for random quantum lattice models and their applications. 2) development of XML language and C++ class libraries to describe and handle random quantum lattice models. 3) development of C++ class libraries for measurement and analysis of various physical quantities. 4) development of resource management system for simulations on massively parallel supercomputers and distributed computer systems. 5) development of archive system for output of simulations on random systems. As for 1), we have developed O(N) Monte Carlo method for long-range interacting systems, such as magnetic dipole and RKKY interactions, and the chain Bethe method and a new many-body Green's function method for quantum spin systems with strong spatial or spin anisotropy. We also investigated impurity effects to the non-magnetic spin gapped quantum spin systems by an extensive quantum Monte Carlo simulation based on the continuous-imaginary-time loop algorithm. For 2), 3), 4), we have extended the existing ALPS frame work, which is for simulation of quantum lattice models, and further developed a new scheduler, ALPS/parapack, which enables us to perform large-scale parallel simulations of systems with strong randomness efficiently For 5), we have developed and constructed a database system which archives parameters and outputs of simulations. We also have built a GUI interface for accessing the database.
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Research Products
(75 results)
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[Journal Article] The ALPS project release 1.3: open source software for strongly correlated systems2007
Author(s)
A. F. Albuquerque, F. Alet, P. Corboz, P. Dayal, A. Feiguin, L. Gamper, E. Gull, S. Gurtler, A. Honecker, R. Igarashi, M. Korner, A. Kozhevnikov, A. Lauchli, S. R. Manmana, M. Matsumoto, I. P. McCulloch, F. Michel, R. M. Noack, G. Pawlowski, L. Pollet, T. Pruschke, U. Schollwock, S. T odo, S. Trebst, M. Troyer, P. We rner, S. Wessel
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Journal Title
J. Mag. Mag.Mat. 310
Pages: 1187-1193
Description
「研究成果報告書概要(和文)」より
Peer Reviewed
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[Journal Article] The ALPS project release 1.3 : open source software for strongly correlated systems2007
Author(s)
A. F. Albuquerque, F. Alet, P. Corboz, P. Dayal, A. Feiguin, L. Gamper, E. Gull, S. Gurtler, A. Honecker, R. Igarashi, M. Korner, A. Kozhevnikov, A. Lauchli, S. R. Manmana, M. Matsumoto, I. P. McCulloch, F. Michel, R. M. Noack, G. Pawlowski, L. Pollet, T. Pruschke, U. Schollwock, S. Todo, S. Trebst, M. Troyer, P. Werner, S. Wessel
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Journal Title
J. Mag. Mag. Mat 310
Pages: 1187-1193
Description
「研究成果報告書概要(欧文)」より
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