A translation invariant bipolaron in the Holstein model and superconductivity
Victor Lakhno
TL;DR
This paper investigates translation invariant bipolarons in a 1D Holstein model, demonstrating their stability and potential to support superconductivity via Bose-Einstein condensation in infinite chains.
Contribution
It introduces criteria for the stability of TI bipolarons and shows their energy is lower than symmetry-broken bipolarons, with implications for 1D superconductivity.
Findings
TI bipolarons are stable in 1D Holstein chains.
Energy of TI bipolarons is lower than broken-symmetry bipolarons.
TI bipolarons can support superconductivity in infinite chains.
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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