Enhanced symmetry-breaking tendencies in the S=1 pyrochlore antiferromagnet

We investigate the ground-state properties of the nearest-neighbor S =1 pyrochlore Heisenberg antiferro-magnet using two complementary numerical methods, the density-matrix renormalization group (DMRG) and pseudofermion functional renormalization group (PFFRG). Within DMRG, we are able to reliably study clusters with up to 48 spins by keeping 20 000 SU(2) states. The investigated 32-site and 48-site clusters both show indications of a robust C3 rotation symmetry breaking of the ground-state spin correlations and the 48-site cluster additionally features inversion symmetry breaking. Our PFFRG analysis of various symmetry-breaking perturbations corroborates the findings of either C3 or a combined C3/inversion symmetry breaking. Moreover, in both methods the symmetry-breaking tendencies appear to be more pronounced than in the S = 1/2 system.

Automated summary

In this study, the ground-state properties of the nearest-neighbor S = 1 pyrochlore Heisenberg antiferromagnet were investigated using two complementary numerical methods, the density-matrix renormalization group (DMRG) and pseudofermion functional renormalization group (PFFRG). The results showed indications of robust C3 rotation symmetry breaking in both the 32-site and 48-site clusters, while the 48-site cluster also exhibited inversion symmetry breaking. The symmetry-breaking tendencies were found to be more pronounced than in the S = 1/2 system in both methods.