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Quantum transports in two-dimensions with long range hopping
We investigate the effects of disorder and shielding on quantum transports in a two dimensional system with all-to-all long range hopping. In the weak disorder, cooperative shielding manifests itself as perfect conducting channels identical to those of the short range model, as if the long range hop...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10082852/ https://www.ncbi.nlm.nih.gov/pubmed/37031288 http://dx.doi.org/10.1038/s41598-023-32888-8 |
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author | Wang, Si-Si Li, Kangkang Dai, Yi-Ming Wang, Hui-Hui Zhang, Yi-Cai Zhang, Yan-Yang |
author_facet | Wang, Si-Si Li, Kangkang Dai, Yi-Ming Wang, Hui-Hui Zhang, Yi-Cai Zhang, Yan-Yang |
author_sort | Wang, Si-Si |
collection | PubMed |
description | We investigate the effects of disorder and shielding on quantum transports in a two dimensional system with all-to-all long range hopping. In the weak disorder, cooperative shielding manifests itself as perfect conducting channels identical to those of the short range model, as if the long range hopping does not exist. With increasing disorder, the average and fluctuation of conductance are larger than those in the short range model, since the shielding is effectively broken and therefore long range hopping starts to take effect. Over several orders of disorder strength (until [Formula: see text] times of nearest hopping), although the wavefunctions are not fully extended, they are also robustly prevented from being completely localized into a single site. Each wavefunction has several localization centers around the whole sample, thus leading to a fractal dimension remarkably smaller than 2 and also remarkably larger than 0, exhibiting a hybrid feature of localization and delocalization. The size scaling shows that for sufficiently large size and disorder strength, the conductance tends to saturate to a fixed value with the scaling function [Formula: see text] , which is also a marginal phase between the typical metal ([Formula: see text] ) and insulating phase ([Formula: see text] ). The all-to-all coupling expels one isolated but extended state far out of the band, whose transport is extremely robust against disorder due to absence of backscattering. The bond current picture of this isolated state shows a quantum version of short circuit through long hopping. |
format | Online Article Text |
id | pubmed-10082852 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-100828522023-04-10 Quantum transports in two-dimensions with long range hopping Wang, Si-Si Li, Kangkang Dai, Yi-Ming Wang, Hui-Hui Zhang, Yi-Cai Zhang, Yan-Yang Sci Rep Article We investigate the effects of disorder and shielding on quantum transports in a two dimensional system with all-to-all long range hopping. In the weak disorder, cooperative shielding manifests itself as perfect conducting channels identical to those of the short range model, as if the long range hopping does not exist. With increasing disorder, the average and fluctuation of conductance are larger than those in the short range model, since the shielding is effectively broken and therefore long range hopping starts to take effect. Over several orders of disorder strength (until [Formula: see text] times of nearest hopping), although the wavefunctions are not fully extended, they are also robustly prevented from being completely localized into a single site. Each wavefunction has several localization centers around the whole sample, thus leading to a fractal dimension remarkably smaller than 2 and also remarkably larger than 0, exhibiting a hybrid feature of localization and delocalization. The size scaling shows that for sufficiently large size and disorder strength, the conductance tends to saturate to a fixed value with the scaling function [Formula: see text] , which is also a marginal phase between the typical metal ([Formula: see text] ) and insulating phase ([Formula: see text] ). The all-to-all coupling expels one isolated but extended state far out of the band, whose transport is extremely robust against disorder due to absence of backscattering. The bond current picture of this isolated state shows a quantum version of short circuit through long hopping. Nature Publishing Group UK 2023-04-08 /pmc/articles/PMC10082852/ /pubmed/37031288 http://dx.doi.org/10.1038/s41598-023-32888-8 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Wang, Si-Si Li, Kangkang Dai, Yi-Ming Wang, Hui-Hui Zhang, Yi-Cai Zhang, Yan-Yang Quantum transports in two-dimensions with long range hopping |
title | Quantum transports in two-dimensions with long range hopping |
title_full | Quantum transports in two-dimensions with long range hopping |
title_fullStr | Quantum transports in two-dimensions with long range hopping |
title_full_unstemmed | Quantum transports in two-dimensions with long range hopping |
title_short | Quantum transports in two-dimensions with long range hopping |
title_sort | quantum transports in two-dimensions with long range hopping |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10082852/ https://www.ncbi.nlm.nih.gov/pubmed/37031288 http://dx.doi.org/10.1038/s41598-023-32888-8 |
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