Formation of exotic states in the $s-d$ exchange and $t-J$ models

TL;DR

This paper explores how exotic states form in the $s-d$ exchange and $t-J$ models, providing insights into strongly correlated electron systems like superconductors and Kondo lattices.

Contribution

It introduces a unified approach to analyze the formation of exotic states in two-band models using many-electron Hubbard operators.

Findings

Different scenarios for exotic state formation are identified.

Interactions of carriers with magnetic moments are characterized.

Theoretical framework applicable to various strongly correlated systems.

Abstract

Different scenarios of the implementation of the two-band model in strongly correlated electrons systems, including frustrated magnets, high-temperature superconductors, and Kondo lattices, are considered. The interaction of current carriers with magnetic moments in the representations of pseudofermions or Schwinger bosons describing the spinon excitations is studied on the basis of the derived Hamiltonians of the $s-d$ exchange and $t-J$ models within the formalism of many-electron Hubbard operators.