Optical conductivity of the Hubbard chain away from half filling
We consider the optical conductivity σ1(ω) in the metallic phase of the one-dimensional Hubbard model. Our results focus on the vicinity of half filling and the frequency regime around the optical gap in the Mott insulating phase. By means of a density-matrix renormalization group implementation of...
Główni autorzy: | , , , , , , |
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Format: | Journal article |
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American Physical Society
2016
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_version_ | 1826288564172750848 |
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author | Tiegel, A Veness, T Dargel, P Honecker, A Pruschke, T McCulloch, I Essler, F |
author_facet | Tiegel, A Veness, T Dargel, P Honecker, A Pruschke, T McCulloch, I Essler, F |
author_sort | Tiegel, A |
collection | OXFORD |
description | We consider the optical conductivity σ1(ω) in the metallic phase of the one-dimensional Hubbard model. Our results focus on the vicinity of half filling and the frequency regime around the optical gap in the Mott insulating phase. By means of a density-matrix renormalization group implementation of the correction-vector approach, σ1(ω) is computed for a range of interaction strengths and dopings. We identify an energy scale Eopt above which the optical conductivity shows a rapid increase. We then use a mobile impurity model in combination with exact results to determine the behavior of σ1(ω) for frequencies just above Eopt which is in agreement with our numerical data. As a main result, we find that this onset behavior is not described by a power law. |
first_indexed | 2024-03-07T02:15:36Z |
format | Journal article |
id | oxford-uuid:a2209cde-e409-4d55-a1ef-633c22143c81 |
institution | University of Oxford |
last_indexed | 2024-03-07T02:15:36Z |
publishDate | 2016 |
publisher | American Physical Society |
record_format | dspace |
spelling | oxford-uuid:a2209cde-e409-4d55-a1ef-633c22143c812022-03-27T02:18:06ZOptical conductivity of the Hubbard chain away from half fillingJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a2209cde-e409-4d55-a1ef-633c22143c81Symplectic Elements at OxfordAmerican Physical Society2016Tiegel, AVeness, TDargel, PHonecker, APruschke, TMcCulloch, IEssler, FWe consider the optical conductivity σ1(ω) in the metallic phase of the one-dimensional Hubbard model. Our results focus on the vicinity of half filling and the frequency regime around the optical gap in the Mott insulating phase. By means of a density-matrix renormalization group implementation of the correction-vector approach, σ1(ω) is computed for a range of interaction strengths and dopings. We identify an energy scale Eopt above which the optical conductivity shows a rapid increase. We then use a mobile impurity model in combination with exact results to determine the behavior of σ1(ω) for frequencies just above Eopt which is in agreement with our numerical data. As a main result, we find that this onset behavior is not described by a power law. |
spellingShingle | Tiegel, A Veness, T Dargel, P Honecker, A Pruschke, T McCulloch, I Essler, F Optical conductivity of the Hubbard chain away from half filling |
title | Optical conductivity of the Hubbard chain away from half filling |
title_full | Optical conductivity of the Hubbard chain away from half filling |
title_fullStr | Optical conductivity of the Hubbard chain away from half filling |
title_full_unstemmed | Optical conductivity of the Hubbard chain away from half filling |
title_short | Optical conductivity of the Hubbard chain away from half filling |
title_sort | optical conductivity of the hubbard chain away from half filling |
work_keys_str_mv | AT tiegela opticalconductivityofthehubbardchainawayfromhalffilling AT venesst opticalconductivityofthehubbardchainawayfromhalffilling AT dargelp opticalconductivityofthehubbardchainawayfromhalffilling AT honeckera opticalconductivityofthehubbardchainawayfromhalffilling AT pruschket opticalconductivityofthehubbardchainawayfromhalffilling AT mccullochi opticalconductivityofthehubbardchainawayfromhalffilling AT esslerf opticalconductivityofthehubbardchainawayfromhalffilling |