Abstract
An exact diagonalization study of the Hubbard model having both on-site and inter-site electron-phonon interactions in the weak-coupling limit shows that on-site electron-phonon interaction generates an effective attraction between electrons which forms an on-site bipolaron (S0). On the other hand, electron-phonon interaction between nearest neighbor sites forms both on-site and inter-site bipolaron (S1). However, the formation of both S0 and S1 bipolarons is suppressed by on-site Coulomb repulsion. Suppression is more in the adiabatic regime of phonon energy. Effective bipolaronic hopping amplitude depends on the Coulomb repulsion.
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Acknowledgments
We are grateful to the Department of Science and Technology, Government of India for the financial support under DST-PURSE program. N. S. Mondal thanks the Department of Technical Education and Training (Govt. of W.B.).
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Nath, S., Mondal, N.S. & Ghosh, N.K. Interplay Between Electron-Phonon Interaction and Hubbard Repulsion: an Exact Approach. J Supercond Nov Magn 28, 1687–1692 (2015). https://doi.org/10.1007/s10948-015-2957-1
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DOI: https://doi.org/10.1007/s10948-015-2957-1