Exact Solution of an Electronic Model of Superconductivity in 1+1 Dimensions
Fabian H.L. Essler, Vladimir E. Korepin, Kareljan Schoutens
TL;DR
This paper presents an exact solution to a 1+1 dimensional superconducting model of strongly correlated electrons, including Bethe Ansatz solutions and conservation laws, advancing understanding of low-dimensional superconductivity.
Contribution
It provides the complete Bethe Ansatz solutions and explicit conservation laws for an integrable 1+1 dimensional superconducting electron model, which was not previously achieved.
Findings
Constructed all six Bethe Ansatz solutions.
Derived explicit expressions for lowest conservation laws.
Proved a lowest weight theorem for Bethe-Ansatz states.
Abstract
We study a superconducting integrable model of strongly correlated electrons in 1+1 dimensions. We construct all six Bethe Ans\"atze for the model and give explicit expressions for lowest conservation laws. We also prove a lowest weight theorem for the Bethe-Ansatz states.
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