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...

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Główni autorzy: Tiegel, A, Veness, T, Dargel, P, Honecker, A, Pruschke, T, McCulloch, I, Essler, F
Format: Journal article
Wydane: American Physical Society 2016
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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.
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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
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