The generalized Kondo lattice model and its spin-polaron implementation for cuprates by projection method

TL;DR

This paper derives a generalized Kondo lattice model from the spin-fermion model for cuprates, highlighting the significance of distant spin-correlated hoppings and demonstrating their impact on the spin-polaron spectrum.

Contribution

It introduces a generalized Kondo lattice model with spin-correlated hoppings derived from the spin-fermion model for cuprates, emphasizing the role of distant hoppings.

Findings

Distant spin-correlated hoppings significantly influence the spin-polaron spectrum.

The model effectively captures low-energy physics of cuprates.

Numerical results show the importance of including long-range hoppings.

Abstract

It is shown that the spin-fermion model found to be an effective low-energy implementation of the three-band Emery model after Wannier transformation of $p_x$- and $p_y$-orbitals in the oxygen ions subsystem is reduced to the generalized Kondo lattice model. Its essential feature is the presence of spin-correlated hoppings of the current carriers between distant cells. Numerical calculations of the spin-polaron spectrum demonstrate the important role of the distant hoppings.