English

A translation invariant bipolaron in the Holstein model and superconductivity

Other Condensed Matter 2017-02-03 v2

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.

Keywords

Cite

@article{arxiv.1606.02219,
  title  = {A translation invariant bipolaron in the Holstein model and superconductivity},
  author = {Victor Lakhno},
  journal= {arXiv preprint arXiv:1606.02219},
  year   = {2017}
}

Comments

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