Thermodynamics of the one-dimensional half-filled Hubbard model in the spin-disordered regime
We analyse the thermodynamic Bethe Ansatz equations of the one-dimensional half-filled Hubbard model in the 'spin-disordered regime', which is characterized by the temperature being much larger than the magnetic energy scale, but small compared to the Mott-Hubbard gap. In this regime the t...
| Główni autorzy: | , , |
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| Format: | Journal article |
| Język: | English |
| Wydane: |
2006
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| _version_ | 1826304471317086208 |
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| author | Ejima, S Essler, F Gebhard, F |
| author_facet | Ejima, S Essler, F Gebhard, F |
| author_sort | Ejima, S |
| collection | OXFORD |
| description | We analyse the thermodynamic Bethe Ansatz equations of the one-dimensional half-filled Hubbard model in the 'spin-disordered regime', which is characterized by the temperature being much larger than the magnetic energy scale, but small compared to the Mott-Hubbard gap. In this regime the thermodynamics of the Hubbard model can be thought of in terms of gapped charged excitations with an effective dispersion and spin degrees of freedom that only contribute entropically. In particular, the internal energy and the effective dispersion become essentially independent of temperature. An interpretation of this regime in terms of a putative interacting-electron system at zero temperature leads to a metal-insulator transition at a finite interaction strength above which the gap opens linearly. We relate these observations to studies of the Mott-Hubbard transition in the limit of infinite dimensions. © 2006 IOP Publishing Ltd. |
| first_indexed | 2024-03-07T06:18:19Z |
| format | Journal article |
| id | oxford-uuid:f1d898b5-cf80-4bfd-9bb1-86ddbf312d24 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:18:19Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:f1d898b5-cf80-4bfd-9bb1-86ddbf312d242022-03-27T11:59:03ZThermodynamics of the one-dimensional half-filled Hubbard model in the spin-disordered regimeJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f1d898b5-cf80-4bfd-9bb1-86ddbf312d24EnglishSymplectic Elements at Oxford2006Ejima, SEssler, FGebhard, FWe analyse the thermodynamic Bethe Ansatz equations of the one-dimensional half-filled Hubbard model in the 'spin-disordered regime', which is characterized by the temperature being much larger than the magnetic energy scale, but small compared to the Mott-Hubbard gap. In this regime the thermodynamics of the Hubbard model can be thought of in terms of gapped charged excitations with an effective dispersion and spin degrees of freedom that only contribute entropically. In particular, the internal energy and the effective dispersion become essentially independent of temperature. An interpretation of this regime in terms of a putative interacting-electron system at zero temperature leads to a metal-insulator transition at a finite interaction strength above which the gap opens linearly. We relate these observations to studies of the Mott-Hubbard transition in the limit of infinite dimensions. © 2006 IOP Publishing Ltd. |
| spellingShingle | Ejima, S Essler, F Gebhard, F Thermodynamics of the one-dimensional half-filled Hubbard model in the spin-disordered regime |
| title | Thermodynamics of the one-dimensional half-filled Hubbard model in the spin-disordered regime |
| title_full | Thermodynamics of the one-dimensional half-filled Hubbard model in the spin-disordered regime |
| title_fullStr | Thermodynamics of the one-dimensional half-filled Hubbard model in the spin-disordered regime |
| title_full_unstemmed | Thermodynamics of the one-dimensional half-filled Hubbard model in the spin-disordered regime |
| title_short | Thermodynamics of the one-dimensional half-filled Hubbard model in the spin-disordered regime |
| title_sort | thermodynamics of the one dimensional half filled hubbard model in the spin disordered regime |
| work_keys_str_mv | AT ejimas thermodynamicsoftheonedimensionalhalffilledhubbardmodelinthespindisorderedregime AT esslerf thermodynamicsoftheonedimensionalhalffilledhubbardmodelinthespindisorderedregime AT gebhardf thermodynamicsoftheonedimensionalhalffilledhubbardmodelinthespindisorderedregime |