A translation invariant bipolaron in the Holstein model and superconductivity.
SPRINGERPLUS 2016;
5:1277. [PMID:
27547652 PMCID:
PMC4977270 DOI:
10.1186/s40064-016-2975-x]
[Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 07/01/2016] [Accepted: 08/01/2016] [Indexed: 11/16/2022]
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.
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