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Finite-size scaling of multifractal wave functions: The metal-insulator transition in two-dimensional symplectic systems

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タイトル: Finite-size scaling of multifractal wave functions: The metal-insulator transition in two-dimensional symplectic systems
著者: Yakubo, K. 著作を一覧する
Ono, M. 著作を一覧する
発行日: 1998年10月15日
出版者: American Physical Society
誌名: PHYSICAL REVIEW B
巻: 58
号: 15
開始ページ: 9767
終了ページ: 9772
出版社 DOI: 10.1103/PhysRevB.58.9767
抄録: A finite-size scaling analysis of wave functions near the metal-insulator transition (MIT) point has been developed, and applied to the MIT in a two-dimensional disordered electron system in the presence of spin-orbit interaction. The present method has the following advantages: (i) Quantities characterizing the critical behavior, such as the critical disorder Wc or the localization exponent ν, are multiply calculated from independent scaling analyses of spatial parts with different intensities in wave functions. (ii) These quantities and the multifractality of the critical wave function are determined simultaneously. (iii) It is not necessary to treat many samples with different sizes. (iv) Much computing time is saved, and the scaling analysis can be done up to very large sizes. Using this method, we obtained Wc=5.86±0.04 and ν=2.41±0.24 for a model of a two-dimensional symplectic system
Rights: Copyright © 1998 American Physical Society
Relation (URI): http://www.aps.org/
資料タイプ: article
URI: http://hdl.handle.net/2115/5648
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 矢久保 考介

 

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