One dimensional exactly solvable models of strongly correlated electrons of $1/r^2$ hopping and exchange

TL;DR

This paper reviews recent advances in exactly solvable one-dimensional strongly correlated electron models with long-range hopping and exchange, highlighting their integrability and detailed physical properties.

Contribution

It provides a comprehensive review of integrable 1D models with long-range interactions, including their wavefunctions, excitation spectra, and thermodynamics.

Findings

Models are completely integrable with infinite conserved quantities

Explicit wavefunctions and excitation spectra are derived

Thermodynamic properties are thoroughly analyzed

Abstract

We review some recent progresses in study of the 1D strongly correlated electron systems of long range hopping and exchange. The systems are completely integrable, with infinite number of constants of motions. The results of the physical properties, such as wavefunctions, the full excitation spectrum and the thermodynamics, are also reviewed.