Interacting Holstein and extended-Holstein bipolarons

Abstract

Employing the recently developed self-consistent variational basis generation scheme, we have investigated the bipolaron-bipolaron interaction within the purview of Holstein-Hubbard and the extended-Holstein-Hubbard (F2H) model on a discrete one-dimensional lattice. The density-matrix renormalization group (DMRG) method has also been used for the Holstein-Hubbard model. We have shown that there exists no bipolaron-bipolaron attraction in the Holstein-Hubbard model. In contrast, we have obtained clear-cut bipolaron-bipolaron attraction in the F2H model. Composite bipolarons are formed above a critical electron-phonon coupling strength, which can survive the finite Hubbard $U$ effect. We have constructed the phase diagram of F2H polarons and bipolarons, and discussed the phase separation in terms of the formation of composite bipolarons.

7 pages, 7 figures, accepted for publication in Phys. Rev. B

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• Particularities of polaron formation in the extended Holstein model with next nearest neighbor transfer
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• Phase diagram of Hubbard-Holstein model on 4-leg tube system at quarter-filling
• Phase diagram of the two-dimensional Hubbard-Holstein model: enhancement of $s$-wave pairing between charge and magnetic orders
• Role of long-range coupling on the properties of single polarons in models with dual electron-phonon couplings
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