Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet

TL;DR

This paper uses advanced numerical methods to reveal how an applied magnetic field can induce multiple quantum phases, including spin liquids and solids, in a frustrated kagome Heisenberg antiferromagnet, demonstrating control over frustration-driven states.

Contribution

It uncovers a series of field-induced quantum phases, including a potential Z3 spin liquid and quantum solids, in the kagome antiferromagnet using unbiased numerical simulations.

Findings

Discovery of a possible Z3 spin liquid plateau at 1/9 magnetization

Identification of a self-organized quantum super-lattice structure

Observation of multiple quantum solid plateaus induced by magnetic field

Abstract

Quantum spin-1/2 kagome Heisenberg antiferromagnet is the representative frustrated system possibly hosting a spin liquid. Clarifying the nature of this elusive topological phase is a key challenge in condensed matter, however, even identifying it still remains unsettled. Here, we apply a magnetic field and discover a series of spin gapped phases appearing at five different fractions of magnetization by means of grand canonical density matrix renormalization group, an unbiased state-of-art numerical technique. The magnetic field dopes magnons and first gives rise to a possible Z3 spin liquid plateau at 1/9-magnetization. Higher field induces a self-organized super-lattice-unit, a six-membered ring of quantum spins, resembling an atomic orbital structure. Putting magnons into this unit one by one yields three quantum solid plateaus. We thus find that the magnetic field could control the transition between various emergent phases by continuously releasing the frustration.