Two-band model and RVB-type states: application to Kondo lattices, pyrochlores and Mn-based systems

TL;DR

This paper develops an exotic FL* theory combining RVB states and conduction bands, applying it to strongly correlated systems like Kondo lattices, pyrochlores, and Mn-based materials, highlighting topological and Fermi surface features.

Contribution

It introduces a novel FL* framework for metallic systems with strong correlations, incorporating topological aspects and applying it to various complex materials.

Findings

Application of FL* theory to Kondo lattices and pyrochlores.

Analysis of small Fermi surface formation in strongly correlated systems.

Comparison with perturbation theory in exchange models.

Abstract

An exotic fractionalized Fermi-liquid FL$^*$ theory of metallic systems, which combines resonant-valence-bond (RVB) state and the band of current carriers, is treated. An application of this theory to spin-liquid, antiferromagnetic and nearly antiferromagnetic systems is proposed with the use of various bosonic and fermionic representations, a comparison with perturbation theory in the $s-d(f)$ exchange model being performed. The topological aspects including formation of the small Fermi surface are treated. In the case of narrow bands (strong correlations), the ground state is considered as a direct product of RVB and dopon or Weng's fermion states. Examples of Kondo lattices, doped pyrochlores, and metallic $\beta$-Mn, YMn$_2$, Y$_{1-x}$Sc$_x$Mn$_2$ systems are discussed, analogies with copper-oxide systems being treated.