New Integrable Models of Strongly Correlated Particles with Correlated Hopping

TL;DR

This paper introduces two exactly solvable models of strongly correlated particles with correlated hopping, analyzing their eigenstates and correlation functions to reveal diverse physical behaviors.

Contribution

It presents new integrable models of strongly correlated particles with correlated hopping and provides exact solutions for their eigenvalues and eigenvectors.

Findings

Exact solutions for eigenvalues and eigenvectors of the models.

Different asymptotic behaviors of correlation functions in various regions.

Models exhibit diverse physical phenomena depending on parameters.

Abstract

The exact solution is obtained for the eigenvalues and eigenvectors for two models of strongly correlated particles with single-particle correlated and uncorrelated pair hoppings. The asymptotic behavior of correlation functions are analysed in different regions, where the models exhibit different physical behavior.