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タイトル: Computation of correlation functions by tensor renormalization group method
著者: Nakamoto, Norihiro
Takeda, Shinji link image link image
発行日: 2016年
出版社(者): Institute of Science and Engineering, Kanazawa University = 金沢大学
雑誌名: The Science Reports of Kanazawa University
ISSN: 2433-040X
巻: 60
開始ページ: 11
終了ページ: 25
キーワード: Tensor renormalization group
Correlation function
Phase transition
Critical exponents
抄録: We demonstrate how to compute the correlation function by using the tensor renormalization group for 2D Ising model. From the correlation function around the critical temperature, we extract the correlation length and the spontaneous magnetization and then determine some critical exponents. Attractive feature of our method to extract the critical exponents is that numerical derivative, that causes a loss of significant digits, and additional simulation parameters, that demand more computational cost and complicated analysis, are not required. On the other hand, our approach requires an additional treatment of impurity tensors, but the additional cost is still tolerable.
URI: http://hdl.handle.net/2297/47068
関連URI: http://scirep.w3.kanazawa-u.ac.jp/
資料種別: Departmental Bulletin Paper
版表示: publisher

このアイテムを引用あるいはリンクする場合は次の識別子を使用してください。 http://hdl.handle.net/2297/47068



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