Optical conductivity of the half-filled hubbard chain
We combine well-controlled analytical and numerical methods to determine the optical conductivity of the one-dimensional Mott-Hubbard insulator at zero temperature. A dynamical density-matrix renormalization group method provides the entire absorption spectrum for all but very small coupling strengt...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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American Inst of Physics
2000
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| _version_ | 1797099654771376128 |
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| author | Jeckelmann, E Gebhard, F Essler, F |
| author_facet | Jeckelmann, E Gebhard, F Essler, F |
| author_sort | Jeckelmann, E |
| collection | OXFORD |
| description | We combine well-controlled analytical and numerical methods to determine the optical conductivity of the one-dimensional Mott-Hubbard insulator at zero temperature. A dynamical density-matrix renormalization group method provides the entire absorption spectrum for all but very small coupling strengths. In this limit we calculate the conductivity analytically using exact field-theoretical methods. Above the Lieb-Wu gap the conductivity exhibits a characteristic square-root increase. For small to moderate interactions, a sharp maximum occurs just above the gap. For larger interactions, another weak feature becomes visible around the middle of the absorption band. |
| first_indexed | 2024-03-07T05:26:47Z |
| format | Journal article |
| id | oxford-uuid:e0d6aa90-4d8e-42db-9b54-7362f6057ce4 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:26:47Z |
| publishDate | 2000 |
| publisher | American Inst of Physics |
| record_format | dspace |
| spelling | oxford-uuid:e0d6aa90-4d8e-42db-9b54-7362f6057ce42022-03-27T09:50:15ZOptical conductivity of the half-filled hubbard chainJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e0d6aa90-4d8e-42db-9b54-7362f6057ce4EnglishSymplectic Elements at OxfordAmerican Inst of Physics2000Jeckelmann, EGebhard, FEssler, FWe combine well-controlled analytical and numerical methods to determine the optical conductivity of the one-dimensional Mott-Hubbard insulator at zero temperature. A dynamical density-matrix renormalization group method provides the entire absorption spectrum for all but very small coupling strengths. In this limit we calculate the conductivity analytically using exact field-theoretical methods. Above the Lieb-Wu gap the conductivity exhibits a characteristic square-root increase. For small to moderate interactions, a sharp maximum occurs just above the gap. For larger interactions, another weak feature becomes visible around the middle of the absorption band. |
| spellingShingle | Jeckelmann, E Gebhard, F Essler, F Optical conductivity of the half-filled hubbard chain |
| title | Optical conductivity of the half-filled hubbard chain |
| title_full | Optical conductivity of the half-filled hubbard chain |
| title_fullStr | Optical conductivity of the half-filled hubbard chain |
| title_full_unstemmed | Optical conductivity of the half-filled hubbard chain |
| title_short | Optical conductivity of the half-filled hubbard chain |
| title_sort | optical conductivity of the half filled hubbard chain |
| work_keys_str_mv | AT jeckelmanne opticalconductivityofthehalffilledhubbardchain AT gebhardf opticalconductivityofthehalffilledhubbardchain AT esslerf opticalconductivityofthehalffilledhubbardchain |