Phase diagram of the J1-J2 Heisenberg model on the kagome lattice

TL;DR

This study uses DMRG to map the phase diagram of the spin-1/2 J1-J2 Heisenberg model on the kagome lattice, revealing an extended spin-liquid region near J2=0 and different magnetic orders outside this region.

Contribution

It provides detailed numerical analysis of the phase diagram, highlighting the presence of a spin-liquid phase and the structure of entanglement spectrum in ordered phases.

Findings

No magnetic order around J2=0, indicating a spin-liquid phase.

Magnetic order of rac{3}{} imes \u0013rac{3}{} and q=0 outside the disordered region.

Finite-size effects influence the entanglement spectrum analysis.

Abstract

We perform an extensive density matrix renormalization group (DMRG) study of the ground-state phase diagram of the spin-1/2 J_1-J_2 Heisenberg model on the kagome lattice. We focus on the region of the phase diagram around the kagome Heisenberg antiferromagnet, i.e., at J_2=0. We investigate the static spin structure factor, the magnetic correlation lengths, and the spin gaps. Our results are consistent with the absence of magnetic order in a narrow region around J_2\approx 0, although strong finite-size effects do not allow us to accurately determine the phase boundaries. This result is in agreement with the presence of an extended spin-liquid region, as it has been proposed recently. Outside the disordered region, we find that for ferromagnetic and antiferromagnetic J_2 the ground state displays signatures of the magnetic order of the \sqrt{3}\times\sqrt{3} and the q=0 type, respectively. Finally, we focus on the structure of the entanglement spectrum (ES) in the q=0 ordered phase. We discuss the importance of the choice of the bipartition on the finite-size structure of the ES.