Scaling of critical wave functions at topological Anderson transitions in one dimension
Topological Anderson transitions, which are direct phase transitions between topologically distinct Anderson localized phases, allow for criticality in one-dimensional disordered systems. We analyze the statistical properties of an ensemble of critical wave functions at such transitions. We find tha...
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| Format: | Article |
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American Physical Society
2015
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| Online Access: | https://eprints.nottingham.ac.uk/48104/ |
| _version_ | 1848797692332867584 |
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| author | Quinn, Eoin Cope, Thomas Bardarson, Jens H. Ossipov, A. |
| author_facet | Quinn, Eoin Cope, Thomas Bardarson, Jens H. Ossipov, A. |
| author_sort | Quinn, Eoin |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Topological Anderson transitions, which are direct phase transitions between topologically distinct Anderson localized phases, allow for criticality in one-dimensional disordered systems. We analyze the statistical properties of an ensemble of critical wave functions at such transitions. We find that the local moments are strongly inhomogeneous, with significant amplification towards the edges of the system. In particular, we obtain an analytic expression for the spatial profile of the local moments, which is valid at all topological Anderson transitions in one dimension, as we verify by direct comparison with numerical simulations of various lattice models. |
| first_indexed | 2025-11-14T20:07:55Z |
| format | Article |
| id | nottingham-48104 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:07:55Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-481042020-05-04T17:16:18Z https://eprints.nottingham.ac.uk/48104/ Scaling of critical wave functions at topological Anderson transitions in one dimension Quinn, Eoin Cope, Thomas Bardarson, Jens H. Ossipov, A. Topological Anderson transitions, which are direct phase transitions between topologically distinct Anderson localized phases, allow for criticality in one-dimensional disordered systems. We analyze the statistical properties of an ensemble of critical wave functions at such transitions. We find that the local moments are strongly inhomogeneous, with significant amplification towards the edges of the system. In particular, we obtain an analytic expression for the spatial profile of the local moments, which is valid at all topological Anderson transitions in one dimension, as we verify by direct comparison with numerical simulations of various lattice models. American Physical Society 2015-09-29 Article PeerReviewed Quinn, Eoin, Cope, Thomas, Bardarson, Jens H. and Ossipov, A. (2015) Scaling of critical wave functions at topological Anderson transitions in one dimension. Physical Review B, 92 (10). 104204/1-104204/8. ISSN 2469-9969 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.92.104204 doi:10.1103/PhysRevB.92.104204 doi:10.1103/PhysRevB.92.104204 |
| spellingShingle | Quinn, Eoin Cope, Thomas Bardarson, Jens H. Ossipov, A. Scaling of critical wave functions at topological Anderson transitions in one dimension |
| title | Scaling of critical wave functions at topological Anderson transitions in one dimension |
| title_full | Scaling of critical wave functions at topological Anderson transitions in one dimension |
| title_fullStr | Scaling of critical wave functions at topological Anderson transitions in one dimension |
| title_full_unstemmed | Scaling of critical wave functions at topological Anderson transitions in one dimension |
| title_short | Scaling of critical wave functions at topological Anderson transitions in one dimension |
| title_sort | scaling of critical wave functions at topological anderson transitions in one dimension |
| url | https://eprints.nottingham.ac.uk/48104/ https://eprints.nottingham.ac.uk/48104/ https://eprints.nottingham.ac.uk/48104/ |