# The mother of all states of the kagome quantum antiferromagnet

## TL;DR

This paper identifies a highly degenerate quantum point in the kagome antiferromagnet model, revealing proximity to multiple phases and providing insights into its complex phase diagram.

## Contribution

It uncovers a special quantum degeneracy point in the kagome XXZ model, elucidating the complex interplay of phases near this critical point.

## Key findings

- Discovery of a degenerate point at Jz/J=-1/2
- Identification of five nearby phases including spin-liquid and broken-symmetry states
- Evidence that the kagome Heisenberg antiferromagnet is near a phase transition

## Abstract

Frustrated quantum magnets are a central theme in condensed matter physics due to the richness of their phase diagrams. They support a panoply of phases including various ordered states and topological phases. Yet, this problem has defied a solution for a long time due to the lack of controlled approximations which make it difficult to distinguish between competing phases. Here we report the discovery of a special quantum macroscopically degenerate point in the XXZ model on the spin-1/2 kagome quantum antiferromagnet for the ratio of Ising to antiferromagnetic transverse coupling Jz/J=-1/2. This point is proximate to many competing phases explaining the source of the complexity of the phase diagram. We identify five phases near this point including both spin-liquid and broken-symmetry phases and give evidence that the kagome Heisenberg antiferromagnet is close to a transition between two phases.