Moreno-Gonzalez, Mateo and Dieplinger, Johannes and Altland, Alexander (2023) Topological quantum criticality of the disordered Chern insulator. ANNALS OF PHYSICS, 456: 169258. ISSN 0003-4916, 1096-035X
Full text not available from this repository. (Request a copy)Abstract
We consider the two-dimensional topological Chern insulator in the presence of static disorder. Generic quantum states in this system are Anderson localized. However, topology requires the presence of a subset of critical states, with diverging localization length (the Chern insulator analog of the 'center of the Landau band states' of the quantum Hall insulator.) We discuss geometric criteria for the identification of these states at weak disorder, and their extension into the regime of strong disorder by analytical methods. In this way, we chart a critical surface embedded in a phase space spanned by energy, topological control parameter, and disorder strength. Our analytical predictions are supplemented by a numerical analysis of the position of the critical states, and their multifractal properties. (c) 2023 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | LOCALIZATION; Effective field theory; Non-linear sigma model; Multifractal analysis; Chern insulator; Integer quantum Hall effect |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics Physics > Institute of Theroretical Physics > Chair Ferdinand Evers |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 30 Jan 2024 16:43 |
| Last Modified: | 30 Jan 2024 16:43 |
| URI: | https://pred.uni-regensburg.de/id/eprint/59978 |
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