Possible Quantum Spin Liquid States on the Triangular and Kagome Lattices

TL;DR

This paper explores quantum spin liquid states on triangular and Kagome lattices by mapping the Heisenberg model to a fermionic gauge theory, supporting the Kalmeyer-Laughlin wave function with numerical evidence.

Contribution

It introduces a fermionic flux attachment approach and analyzes the gauge theory, providing theoretical support for the spin-liquid Kalmeyer-Laughlin state.

Findings

Gauge theory is massive at Gaussian level

Good overlap of wave function with numerical ground state

Supports the existence of quantum spin liquids on these lattices

Abstract

The frustrated spin-one-half Heisenberg model on triangualr and Kagome Lattices is mapped onto a single specis of fermion carrying statistical flux. The corresponding Chern-Simons gauge theory is analyzed at the Gaussian level and found to be massive. This provides a new motivation for the spin-liquid Kalmeyer-Laughlin wave function. Good overlap of this wave function with the numerical ground state is found for small clusters.