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Finite-size scaling of multifractal wave functions: The metal-insulator transition in two-dimensional symplectic systems
| Title: | Finite-size scaling of multifractal wave functions: The metal-insulator transition in two-dimensional symplectic systems |
| Authors: | Yakubo, K.1 Browse this author →KAKEN DB | | Ono, M. Browse this author |
| Authors(alt): | 矢久保, 考介1 |
| Issue Date: | 15-Oct-1998 |
| Publisher: | American Physical Society |
| Journal Title: | PHYSICAL REVIEW B |
| Volume: | 58 |
| Issue: | 15 |
| Start Page: | 9767 |
| End Page: | 9772 |
| Publisher DOI: | 10.1103/PhysRevB.58.9767 |
| Abstract: | 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: | http://www.aps.org/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/5648 |
| Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 矢久保 考介
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