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Spin-directed network model for the surface states of weak three-dimensional Z(2) topological insulators
Title: | Spin-directed network model for the surface states of weak three-dimensional Z(2) topological insulators |
Authors: | Obuse, Hideaki Browse this author →KAKEN DB | Ryu, Shinsei Browse this author | Furusaki, Akira Browse this author | Mudry, Christopher Browse this author |
Issue Date: | 21-Apr-2014 |
Publisher: | American Physical Society |
Journal Title: | Physical Review B |
Volume: | 89 |
Issue: | 15 |
Start Page: | 155315-1 |
End Page: | 155315-28 |
Publisher DOI: | 10.1103/PhysRevB.89.155315 |
Abstract: | A two-dimensional spin-directed Z(2) network model is constructed that describes the combined effects of dimerization and disorder for the surface states of a weak three-dimensional Z(2) topological insulator. The network model consists of helical edge states of two-dimensional layers of Z(2) topological insulators which are coupled by time-reversal-symmetric interlayer tunneling. It is argued that, without dimerization of interlayer couplings, the network model has no insulating phase for any disorder strength. However, a sufficiently strong dimerization induces a transition from a metallic phase to an insulating phase. The critical exponent. for the diverging localization length at metal-insulator transition points is obtained by finite-size scaling analysis of numerical data from simulations of this network model. It is shown that the phase transition belongs to the two-dimensional symplectic universality class of Anderson transition. |
Rights: | ©2014 American Physical Society |
Type: | article |
URI: | http://hdl.handle.net/2115/56742 |
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: 小布施 秀明
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