Low- and high-energy localization landscapes for tight-binding Hamiltonians in two-dimensional lattices
Localization of electronic wave functions in modern two-dimensional (2D) materials such as graphene can impact drastically their transport and magnetic properties. The recent localization landscape (LL) theory has brought many tools and theoretical results to understand such localization phenomena i...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2023-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.023102 |
| _version_ | 1797210445911687168 |
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| author | Luis A. Razo-López Geoffroy J. Aubry Marcel Filoche Fabrice Mortessagne |
| author_facet | Luis A. Razo-López Geoffroy J. Aubry Marcel Filoche Fabrice Mortessagne |
| author_sort | Luis A. Razo-López |
| collection | DOAJ |
| description | Localization of electronic wave functions in modern two-dimensional (2D) materials such as graphene can impact drastically their transport and magnetic properties. The recent localization landscape (LL) theory has brought many tools and theoretical results to understand such localization phenomena in the continuous setting, but with very few extensions so far to the discrete realm or to tight-binding Hamiltonians. In this paper, we show how this approach can be extended to almost all known 2D lattices and propose a systematic way of designing LL even for higher dimensions. We demonstrate in detail how this LL theory works and predicts accurately not only the locations, but also the energies of localized eigenfunctions in the low- and high-energy regimes for the honeycomb and hexagonal lattices, making it a highly promising tool for investigating the role of disorder in these materials. |
| first_indexed | 2024-04-24T10:10:43Z |
| format | Article |
| id | doaj.art-6f569752e6bb424aa4d4ee8dba7131e4 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:10:43Z |
| publishDate | 2023-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-6f569752e6bb424aa4d4ee8dba7131e42024-04-12T17:30:56ZengAmerican Physical SocietyPhysical Review Research2643-15642023-05-015202310210.1103/PhysRevResearch.5.023102Low- and high-energy localization landscapes for tight-binding Hamiltonians in two-dimensional latticesLuis A. Razo-LópezGeoffroy J. AubryMarcel FilocheFabrice MortessagneLocalization of electronic wave functions in modern two-dimensional (2D) materials such as graphene can impact drastically their transport and magnetic properties. The recent localization landscape (LL) theory has brought many tools and theoretical results to understand such localization phenomena in the continuous setting, but with very few extensions so far to the discrete realm or to tight-binding Hamiltonians. In this paper, we show how this approach can be extended to almost all known 2D lattices and propose a systematic way of designing LL even for higher dimensions. We demonstrate in detail how this LL theory works and predicts accurately not only the locations, but also the energies of localized eigenfunctions in the low- and high-energy regimes for the honeycomb and hexagonal lattices, making it a highly promising tool for investigating the role of disorder in these materials.http://doi.org/10.1103/PhysRevResearch.5.023102 |
| spellingShingle | Luis A. Razo-López Geoffroy J. Aubry Marcel Filoche Fabrice Mortessagne Low- and high-energy localization landscapes for tight-binding Hamiltonians in two-dimensional lattices Physical Review Research |
| title | Low- and high-energy localization landscapes for tight-binding Hamiltonians in two-dimensional lattices |
| title_full | Low- and high-energy localization landscapes for tight-binding Hamiltonians in two-dimensional lattices |
| title_fullStr | Low- and high-energy localization landscapes for tight-binding Hamiltonians in two-dimensional lattices |
| title_full_unstemmed | Low- and high-energy localization landscapes for tight-binding Hamiltonians in two-dimensional lattices |
| title_short | Low- and high-energy localization landscapes for tight-binding Hamiltonians in two-dimensional lattices |
| title_sort | low and high energy localization landscapes for tight binding hamiltonians in two dimensional lattices |
| url | http://doi.org/10.1103/PhysRevResearch.5.023102 |
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