Topography of Spin Liquids on a Triangular Lattice

TL;DR

This paper investigates the phase diagram of frustrated spin systems on a triangular lattice, identifying a continuous connection between different spin-liquid phases using advanced numerical methods.

Contribution

It maps the topography of spin-liquid regions on a triangular lattice and demonstrates the isomorphism between two distinct spin-liquid phases.

Findings

Identification of a continuous spin-liquid phase on the triangular lattice.

Demonstration of the isomorphism between different spin-liquid phases.

Mapping of the phase diagram using density-matrix renormalization group.

Abstract

Spin systems with frustrated anisotropic interactions are of significant interest due to possible exotic ground states. We have explored their phase diagram on a nearest-neighbor triangular lattice using the density-matrix renormalization group and mapped out the topography of the region that can harbor a spin liquid. We find that this spin-liquid phase is continuously connected to a previously discovered spin-liquid phase of the isotropic $J_1\!-\!J_2$ model. The two limits show nearly identical spin correlations, making the case that their respective spin liquids are isomorphic to each other.