Symmetry-protected non-Fermi liquids, Kagome spin liquids, and the chiral Kondo lattice model

TL;DR

This paper introduces a new analytical approach to understanding non-Fermi liquids in Kagome spin liquids, revealing a symmetry-protection mechanism and mapping the model to a chiral Kondo lattice, supported by numerical evidence.

Contribution

It presents a novel symmetry-based framework and a chiral Kondo lattice mapping for analyzing gapless spin liquids in Kagome models, advancing theoretical understanding.

Findings

Numerical evidence supports the existence of a gapless spin liquid in the 2D Kagome model.

A symmetry-protection mechanism stabilizes the gapless phase.

The 2D Kagome spin model is reformulated as a chiral Kondo lattice model.

Abstract

The theoretical description of non-Fermi liquids is among the most challenging questions in strongly correlated quantum matter. While there are many experimental candidates for such phases, few examples can be studied using controlled theoretical approaches. Here we introduce a novel conceptual perspective to analytically describe the non-Fermi liquid physics of gapless spin liquids arising in a family of two- and three-dimensional Kagome models. We first discuss a symmetry-protection mechanism that is responsible for the stability of the gapless phase. We then re-cast the two-dimensional Kagome spin model as a chiral Kondo lattice model that can be tackled analytically using what is in a sense a generalization of coupled-wire constructions. We provide extensive numerical evidence for a gapless spin liquid in the two-dimensional Kagome model and discuss generalizations to three dimensions.