# Quasiparticle Band Structure and Spin Excitation Spectrum of the Kondo Lattice

## TL;DR

This paper develops a bond particle approach to analyze the Kondo lattice Hamiltonian, providing analytical solutions and validating results against numerical data for one-dimensional Kondo insulators.

## Contribution

It introduces a novel bond particle formulation for the Kondo lattice and solves it in two approximations, offering new analytical insights into the model's properties.

## Key findings

- Good agreement with numerical results for J/t > 1
- Bond particles correspond to eigenstates of a single unit cell
- Analytical solutions for 1D Kondo insulators

## Abstract

A formulation of the Kondo lattice Hamiltonian in terms of bond particles is derived and solved in two different approximations. The bond particles correspond to the eigenstates of a single unit cell and are bosons for states with even electron number and fermions for states with an odd electron number. A s a check various physical quantities are calculated for the 1D Kondo insulator a nd good agreement with numerical results is obtained for J/t>1.