High order magnon bound states in the quasi-one-dimensional antiferromagnet $\alpha$-NaMnO${}_2$

Abstract

Here we report on the formation of two and three magnon bound states in the quasi-one-dimensional antiferromagnet $\alpha$-NaMnO${}_2$, where the single-ion, uniaxial anisotropy inherent to the Mn${}^{3+}$ ions in this material provides a binding mechanism capable of stabilizing higher order magnon bound states. While such states have long remained elusive in studies of antiferromagnetic chains, neutron scattering data presented here demonstrate that higher order $n>2$ composite magnons exist, and, specifically, that a weak three-magnon bound state is detected below the antiferromagnetic ordering transition of NaMnO${}_2$. We corroborate our findings with exact numerical simulations of a one-dimensional Heisenberg chain with easy-axis anisotropy using matrix-product state techniques, finding a good quantitative agreement with the experiment. These results establish $\alpha$-NaMnO${}_2$ as a unique platform for exploring the dynamics of composite magnon states inherent to a classical antiferromagnetic spin chain with Ising-like single ion anisotropy.

5 pages, 4 figures

References in corpus (7)

• The density-matrix renormalization group in the age of matrix product states
• Observation of an Efimov spectrum in an atomic system
• Emergent multipolar spin correlations in a fluctuating spiral - The frustrated ferromagnetic S=1/2 Heisenberg chain in a magnetic field
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Multi-magnon bound states in the frustrated ferromagnetic 1D chain
• Quantum droplet of one-dimensional bosons with a three-body attraction
• Floating zone growth of α-Na${}_{0.90}$MnO${}_2$ single crystals

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• Dark Field X-ray Microscopy Below Liquid-Helium Temperature: The Case of NaMnO2
• High-angular momentum excitations in collinear antiferromagnet FePS${}_3$
• Multimagnon dynamics and thermalization in the $S=1$ easy-axis ferromagnetic chain
• Transverse and longitudinal magnons in strongly anisotropic antiferromagnet FePSe3
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• Refined Spin Wave Model and Multi-magnon Bound States in $L{i}_{2}Cu{O}_2$
• Longitudinal magnons in large-$S$ easy-axis magnets
• High-accuracy evaluation of non-thermal magnetic states beyond spin-wave theory: applications to higher-energy states
• Impurity-induced moment freezing in NaFe${}_x$Ru${}_{1-x}$O${}_2$