A translation invariant bipolaron in the Holstein model and superconductivity
arXiv:1606.02219 · doi:10.1186/s40064-016-2975-x
Abstract
Large-radius translation invariant (TI) bipolarons are considered in a one-dimensional Holstein molecular chain. Criteria of their stability are obtained. The energy of a translation invariant bipolaron is shown to be lower than that of a bipolaron with broken symmetry. The results obtained are applied to the problem of superconductivity in 1D-systems. It is shown that TI-bipolaron mechanism of Bose-Einstein condensation can support superconductivity even for infinite chain.
20 pages, 7 figures. This version contains essentially new results in comparison with v1. The Abstract is enlarged, the Introduction is improved. Four sections are added. This version was published in SpringerPlus (2016) 5:1277, here Table 1 is corrected
References in corpus (5)
- Interplay between electron-phonon and Coulomb interactions in cuprates
- Translation-invariant bipolarons and the problem of high-temperature superconductivity
- Pekar's Ansatz and the Strong Coupling Problem in Polaron Theory
- Possibility of a (bi)polaron high-temperature superconductivity in Poly A/ Poly T DNA duplexes
- Continuum Model of the One-Dimensional Holstein Bipolaron in DNA