Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial Method
In this paper, we report numerical calculations of the localization length in a non-interacting one-dimensional tight-binding model at zero tem¬perature, holding a correlated disorder model with an algebraic power-spectrum (de Moura-Lyra model). Our calculations were based on a Kernel Polynomial imp...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2020-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2020/09/epjconf_cmpnc2019_05011.pdf |
| _version_ | 1818589859983392768 |
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| author | Khan N.A. Santos Pires J.P. Viana Parente Lopes J.M. Lopes dos Santos J.M.B. |
| author_facet | Khan N.A. Santos Pires J.P. Viana Parente Lopes J.M. Lopes dos Santos J.M.B. |
| author_sort | Khan N.A. |
| collection | DOAJ |
| description | In this paper, we report numerical calculations of the localization length in a non-interacting one-dimensional tight-binding model at zero tem¬perature, holding a correlated disorder model with an algebraic power-spectrum (de Moura-Lyra model). Our calculations were based on a Kernel Polynomial implementation of the Thouless formula for the inverse localization length of a general nearest-neighbor 1D tight-binding model with open boundaries. Our results confirm the delocalization of all eigenstates in de Moura-Lyra model for α > 1 and a localization length which diverges as ξ ∝ (1 – α)–1 for α → 1–, at all energies in the weak disorder limit (as previously seen in [12]). |
| first_indexed | 2024-12-16T09:47:21Z |
| format | Article |
| id | doaj.art-5368c9a8679f4a02ad32016207e2eb24 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-16T09:47:21Z |
| publishDate | 2020-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-5368c9a8679f4a02ad32016207e2eb242022-12-21T22:36:08ZengEDP SciencesEPJ Web of Conferences2100-014X2020-01-012330501110.1051/epjconf/202023305011epjconf_cmpnc2019_05011Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial MethodKhan N.A.Santos Pires J.P.Viana Parente Lopes J.M.Lopes dos Santos J.M.B.In this paper, we report numerical calculations of the localization length in a non-interacting one-dimensional tight-binding model at zero tem¬perature, holding a correlated disorder model with an algebraic power-spectrum (de Moura-Lyra model). Our calculations were based on a Kernel Polynomial implementation of the Thouless formula for the inverse localization length of a general nearest-neighbor 1D tight-binding model with open boundaries. Our results confirm the delocalization of all eigenstates in de Moura-Lyra model for α > 1 and a localization length which diverges as ξ ∝ (1 – α)–1 for α → 1–, at all energies in the weak disorder limit (as previously seen in [12]).https://www.epj-conferences.org/articles/epjconf/pdf/2020/09/epjconf_cmpnc2019_05011.pdf |
| spellingShingle | Khan N.A. Santos Pires J.P. Viana Parente Lopes J.M. Lopes dos Santos J.M.B. Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial Method EPJ Web of Conferences |
| title | Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial Method |
| title_full | Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial Method |
| title_fullStr | Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial Method |
| title_full_unstemmed | Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial Method |
| title_short | Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial Method |
| title_sort | probing the global delocalization transition in the de moura lyra model with the kernel polynomial method |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2020/09/epjconf_cmpnc2019_05011.pdf |
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