Translation-invariant bipolarons and the problem of high-temperature superconductivity

TL;DR

This paper demonstrates that translation-invariant bipolarons have a delocalized ground state with lower energy estimates, supporting their potential role in explaining high-temperature superconductivity.

Contribution

It introduces a two-parameter wave function approach showing lower energy states for bipolarons, suggesting a mechanism for high-temperature superconductivity.

Findings

Delocalized bipolaron ground state energy estimated at -0.414125 α^2.

Lower energy estimates than localized bipolaron models.

Supports bipolaron mechanism as a basis for high-temperature superconductivity.

Abstract

It is shown that the bipolaron ground state is described by a delocalized wave function. For a two-parameter wave function, the lowest variation estimate of the ground state energy in the strong coupling limit is found to be $E=- 0,414125 \alpha ^2$. This is much lower than that derived with the use of the localized bipolaron wave function. The results obtained testify to the possibility of a bipolaron mechanism of high-temperature superconductivity.