Localization of weakly disordered flat band states
Certain tight binding lattices host macroscopically degenerate flat spectral bands. Their origin is rooted in local symmetries of the lattice, with destructive interference leading to the existence of compact localized eigenstates. We study the robustness of this localization to disorder in differen...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2017
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| Online Access: | https://hdl.handle.net/10356/83220 http://hdl.handle.net/10220/42512 |
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| author | Leykam, Daniel Bodyfelt, Joshua D. Desyatnikov, Anton S. Flach, Sergej |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Leykam, Daniel Bodyfelt, Joshua D. Desyatnikov, Anton S. Flach, Sergej |
| author_sort | Leykam, Daniel |
| collection | NTU |
| description | Certain tight binding lattices host macroscopically degenerate flat spectral bands. Their origin is rooted in local symmetries of the lattice, with destructive interference leading to the existence of compact localized eigenstates. We study the robustness of this localization to disorder in different classes of flat band lattices in one and two dimensions. Depending on the flat band class, the flat band states can either be robust, preserving their strong localization for weak disorder W, or they are destroyed and acquire large localization lengths ξ that diverge with a variety of unconventional exponents ν, ξ ~ 1 /Wν. |
| first_indexed | 2025-02-19T03:50:18Z |
| format | Journal Article |
| id | ntu-10356/83220 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:50:18Z |
| publishDate | 2017 |
| record_format | dspace |
| spelling | ntu-10356/832202023-02-28T19:32:10Z Localization of weakly disordered flat band states Leykam, Daniel Bodyfelt, Joshua D. Desyatnikov, Anton S. Flach, Sergej School of Physical and Mathematical Sciences Materials Solid State Certain tight binding lattices host macroscopically degenerate flat spectral bands. Their origin is rooted in local symmetries of the lattice, with destructive interference leading to the existence of compact localized eigenstates. We study the robustness of this localization to disorder in different classes of flat band lattices in one and two dimensions. Depending on the flat band class, the flat band states can either be robust, preserving their strong localization for weak disorder W, or they are destroyed and acquire large localization lengths ξ that diverge with a variety of unconventional exponents ν, ξ ~ 1 /Wν. Accepted version 2017-05-26T08:34:58Z 2019-12-06T15:14:16Z 2017-05-26T08:34:58Z 2019-12-06T15:14:16Z 2017 Journal Article Leykam, D., Bodyfelt, J. D., Desyatnikov, A. S., & Flach, S. (2017). Localization of weakly disordered flat band states. The European Physical Journal B, 90(1). 1434-6028 https://hdl.handle.net/10356/83220 http://hdl.handle.net/10220/42512 10.1140/epjb/e2016-70551-2 en The European Physical Journal B © 2017 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg. This is the author created version of a work that has been peer reviewed and accepted for publication in the European Physical Journal B, published by Springer on behalf of EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1140/epjb/e2016-70551-2]. 12 p. application/pdf |
| spellingShingle | Materials Solid State Leykam, Daniel Bodyfelt, Joshua D. Desyatnikov, Anton S. Flach, Sergej Localization of weakly disordered flat band states |
| title | Localization of weakly disordered flat band states |
| title_full | Localization of weakly disordered flat band states |
| title_fullStr | Localization of weakly disordered flat band states |
| title_full_unstemmed | Localization of weakly disordered flat band states |
| title_short | Localization of weakly disordered flat band states |
| title_sort | localization of weakly disordered flat band states |
| topic | Materials Solid State |
| url | https://hdl.handle.net/10356/83220 http://hdl.handle.net/10220/42512 |
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