Excitons in the strong coupling limit of the one-dimensional extended Hubbard model
Excitons in the strong coupling limit of the half-filled one-dimensional extended Hubbard model with 1/r interactions are studied. Unlike the situation for nearest neighbor interactions, where there is at most only one (doubly degenerate) bound state, a 1/r interaction results in an infinite number...
| Main Author: | |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2002
|
| _version_ | 1797091623798046720 |
|---|---|
| author | Barford, W |
| author_facet | Barford, W |
| author_sort | Barford, W |
| collection | OXFORD |
| description | Excitons in the strong coupling limit of the half-filled one-dimensional extended Hubbard model with 1/r interactions are studied. Unlike the situation for nearest neighbor interactions, where there is at most only one (doubly degenerate) bound state, a 1/r interaction results in an infinite number of doubly degenerate bound states. In the continuum limit the exciton states are one-dimensional hydrogenlike states, with binding energies ∼ 1/n2. The particle-hole separation grows rapidly with n as n2. The binding energies are reduced on a discrete lattice. However, for conjugated systems of interest, the discrete correction to the continuum limit are small. When the infinite onsite repulsion limit is relaxed the degenerate states split, forming a doublet of even and odd parity states. |
| first_indexed | 2024-03-07T03:35:42Z |
| format | Journal article |
| id | oxford-uuid:bc35a2fc-68fb-4337-8b23-ccdc8de785f5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:35:42Z |
| publishDate | 2002 |
| record_format | dspace |
| spelling | oxford-uuid:bc35a2fc-68fb-4337-8b23-ccdc8de785f52022-03-27T05:22:42ZExcitons in the strong coupling limit of the one-dimensional extended Hubbard modelJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bc35a2fc-68fb-4337-8b23-ccdc8de785f5EnglishSymplectic Elements at Oxford2002Barford, WExcitons in the strong coupling limit of the half-filled one-dimensional extended Hubbard model with 1/r interactions are studied. Unlike the situation for nearest neighbor interactions, where there is at most only one (doubly degenerate) bound state, a 1/r interaction results in an infinite number of doubly degenerate bound states. In the continuum limit the exciton states are one-dimensional hydrogenlike states, with binding energies ∼ 1/n2. The particle-hole separation grows rapidly with n as n2. The binding energies are reduced on a discrete lattice. However, for conjugated systems of interest, the discrete correction to the continuum limit are small. When the infinite onsite repulsion limit is relaxed the degenerate states split, forming a doublet of even and odd parity states. |
| spellingShingle | Barford, W Excitons in the strong coupling limit of the one-dimensional extended Hubbard model |
| title | Excitons in the strong coupling limit of the one-dimensional extended Hubbard model |
| title_full | Excitons in the strong coupling limit of the one-dimensional extended Hubbard model |
| title_fullStr | Excitons in the strong coupling limit of the one-dimensional extended Hubbard model |
| title_full_unstemmed | Excitons in the strong coupling limit of the one-dimensional extended Hubbard model |
| title_short | Excitons in the strong coupling limit of the one-dimensional extended Hubbard model |
| title_sort | excitons in the strong coupling limit of the one dimensional extended hubbard model |
| work_keys_str_mv | AT barfordw excitonsinthestrongcouplinglimitoftheonedimensionalextendedhubbardmodel |