Effective electron–electron and electron–phonon interactions in the Hubbard–Holstein model
We investigate the interplay between the electron–electron and the electron–phonon interaction in the Hubbard–Holstein model. We implement the flow-equation method to investigate within this model the effect of correlation on the electron–phonon effective coupling and, conversely, the effect of phon...
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| Published in | Nuclear physics. B Vol. 744; no. 3; pp. 277 - 294 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
12.06.2006
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0550-3213 1873-1562 |
| DOI | 10.1016/j.nuclphysb.2006.03.021 |
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| Abstract | We investigate the interplay between the electron–electron and the electron–phonon interaction in the Hubbard–Holstein model. We implement the flow-equation method to investigate within this model the effect of correlation on the electron–phonon effective coupling and, conversely, the effect of phonons in the effective electron–electron interaction. Using this technique we obtain analytical momentum-dependent expressions for the effective couplings and we study their behavior for different physical regimes. In agreement with other works on this subject, we find that the electron–electron attraction mediated by phonons in the presence of Hubbard repulsion is peaked at low transferred momenta. The role of the characteristic energies involved is also analyzed. |
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| AbstractList | We investigate the interplay between the electron–electron and the electron–phonon interaction in the Hubbard–Holstein model. We implement the flow-equation method to investigate within this model the effect of correlation on the electron–phonon effective coupling and, conversely, the effect of phonons in the effective electron–electron interaction. Using this technique we obtain analytical momentum-dependent expressions for the effective couplings and we study their behavior for different physical regimes. In agreement with other works on this subject, we find that the electron–electron attraction mediated by phonons in the presence of Hubbard repulsion is peaked at low transferred momenta. The role of the characteristic energies involved is also analyzed. |
| Author | Grilli, M. Lorenzana, J. Di Castro, C. Aprea, G. |
| Author_xml | – sequence: 1 givenname: G. surname: Aprea fullname: Aprea, G. – sequence: 2 givenname: C. surname: Di Castro fullname: Di Castro, C. – sequence: 3 givenname: M. surname: Grilli fullname: Grilli, M. email: marco.grilli@roma1.infn.it – sequence: 4 givenname: J. surname: Lorenzana fullname: Lorenzana, J. |
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| CitedBy_id | crossref_primary_10_1088_1751_8113_45_1_015208 crossref_primary_10_1103_PhysRevB_106_054509 crossref_primary_10_1103_PhysRevLett_99_146404 crossref_primary_10_1088_1742_6596_284_1_012056 crossref_primary_10_1016_j_physe_2019_04_014 crossref_primary_10_1155_2010_920860 crossref_primary_10_1007_s10701_011_9606_8 |
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| Keywords | 71.10.Fd Flow equations 71.10.-w 63.20.Kr Electron–phonon interaction Electron–electron interaction |
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| Title | Effective electron–electron and electron–phonon interactions in the Hubbard–Holstein model |
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