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| Presentation | 2014-03-18 13:00 Model selection of NiGa_2S_4 triangular lattice by Bayesian estimation Hikaru Takenaka, Kenji Nagata, Takashi Mizokawa (Univ. of Tokyo), Masato Okada (Univ. of Tokyo/RIKEN)  NC2013-107 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | The superexchange interaction, which favors parallel or anti-parallel alignment of electron spins in magnets, has an important role, and it is very essential to select an effective model where the superexchange interaction is optimized. We propose a novel method for abstracting effective superexchange interaction parameters from calculated data of the electronic state by Bayesian estimation. In Bayesian estimation, the origin behind phenomena could be estimated from data by minimizing the posterior expected value of a loss function. The method used for abstracting effective parameters is called the model selection in statistical mechanics. We apply the method for the NiGa$_2$S$_4$ triangular-lattice where the ground states is a spin disordered state. The triangular lattice is the simplest frustrated spin system in two-dimensional structures. As a result, we estimated that not only the superexchange interaction between the third-nearest neighbor-sites, known as a dominant interaction in NiGa$_2$S$_4$, but also those between the nearest and the second-nearest neighbor-sites should be considered. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Bayesian estimation / model selection / strongly correlated electron system / frustration / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 113, no. 500, NC2013-107, pp. 109-114, March 2014. | |
| Paper # | NC2013-107 | |
| Date of Issue | 2014-03-10 (NC) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | NC2013-107 |
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| Conference Information | |
| Committee | NC MBE |
| Conference Date | 2014-03-17 - 2014-03-18 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Tamagawa University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | NC |
| Conference Code | 2014-03-NC-MBE |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Model selection of NiGa_2S_4 triangular lattice by Bayesian estimation |
| Sub Title (in English) | |
| Keyword(1) | Bayesian estimation |
| Keyword(2) | model selection |
| Keyword(3) | strongly correlated electron system |
| Keyword(4) | frustration |
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| 1st Author's Name | Hikaru Takenaka |
| 1st Author's Affiliation | University of Tokyo (Univ. of Tokyo) |
| 2nd Author's Name | Kenji Nagata |
| 2nd Author's Affiliation | University of Tokyo (Univ. of Tokyo) |
| 3rd Author's Name | Takashi Mizokawa |
| 3rd Author's Affiliation | University of Tokyo (Univ. of Tokyo) |
| 4th Author's Name | Masato Okada |
| 4th Author's Affiliation | University of Tokyo/RIKEN (Univ. of Tokyo/RIKEN) |
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| Speaker | Author-1 |
| Date Time | 2014-03-18 13:00:00 |
| Presentation Time | 20 minutes |
| Registration for | NC |
| Paper # | NC2013-107 |
| Volume (vol) | vol.113 |
| Number (no) | no.500 |
| Page | pp.109-114 |
| #Pages | 6 |
| Date of Issue | 2014-03-10 (NC) |
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