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

Abstract

We investigate the ground-state properties of the nearest-neighbor $S=1$ pyrochlore Heisenberg antiferromagnet using two complementary numerical methods, 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 $C_3$ 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 $C_3$ or a combined $C_3$/inversion symmetry breaking. Moreover, in both methods the symmetry-breaking tendencies appear to be more pronounced than in the $S=1/2$ system.

8 pages, 6 figures

References in corpus (15)

• The density-matrix renormalization group in the age of matrix product states
• From density-matrix renormalization group to matrix product states
• New Trends in Density Matrix Renormalization
• Numerical Linked-Cluster Approach to Quantum Lattice Models
• A Strictly Single-Site DMRG Algorithm with Subspace Expansion
• Is the Yb2Ti2O7 pyrochlore a quantum spin ice?
• A Short Introduction to Numerical Linked-Cluster Expansions
• Error estimates for extrapolations with matrix-product states
• Combining Dynamical Quantum Typicality and Numerical Linked Cluster Expansions
• Dimerization tendencies of the pyrochlore Heisenberg antiferromagnet: A functional renormalization group perspective
• Chiral spin states in the pyrochlore Heisenberg magnet: Fermionic mean-field theory and variational Monte Carlo calculations
• Large-scale numerical investigations of the antiferromagnetic Heisenberg icosidodecahedron
• Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet
• Thermodynamics of the Antiferromagnetic Heisenberg Model on the Checkerboard Lattice
• Order, Disorder and Monopole Confinement in the Spin-$1/2$ XXZ Model on a Pyrochlore Tube

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