The one-dimensional Hubbard model: A reminiscence

TL;DR

This paper revisits the original solution of the one-dimensional Hubbard model's ground state, clarifying details of its analysis and emphasizing its significance in condensed matter physics, especially regarding high-T_c superconductivity.

Contribution

It provides a detailed recollection of the original solution of the 1D Hubbard model, which had not been previously published.

Findings

Confirmed no Mott transition in 1D Hubbard model

Recalled the ground state energy and wave function

Highlighted the model's relevance to high-T_c superconductivity

Abstract

In 1968 we published the solution of the ground state energy and wave function of the one-dimensional Hubbard model, and we also showed that there is no Mott transition in this model. Details of the analysis have never been published, however. As the Hubbard model has become increasingly important in condensed matter physics, relating to topics such as the theory of high-T_c superconductivity, it is appropriate to revisit the one-dimensional model and to recall here some details of the solution.